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Volumn 215, Issue 8, 2009, Pages 2950-2964

On nonlinear population waves

Author keywords

Asymptotic stability; Kinks; Migration; Nonlinear dynamics; Population dynamics; Solitary waves

Indexed keywords

APPROXIMATE SOLUTION; BIRTH RATES; COEFFICIENT OF DIFFUSION; DIFFUSION PROCESS; EXACT SOLUTION; GENERAL MODEL; INTERACTING POPULATION; KINKS; MIGRATION; MODEL SYSTEM; NONLINEAR DYNAMICS; PHASE SPACES; POLYNOMIAL NONLINEARITIES; SADDLE POINT; SOLITARY WAVE; SOLITARY WAVES; SPATIAL DIMENSION; SPATIO-TEMPORAL DYNAMICS; TWO-STATE; WAVE VELOCITY;

EID: 70449518029     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2009.09.041     Document Type: Article
Times cited : (93)

References (79)
  • 4
    • 0031480080 scopus 로고    scopus 로고
    • Long-scale evolution of thin liquid films
    • Oron A., Davis S.H., and Bankoff S.G. Long-scale evolution of thin liquid films. Rev. Mod. Phys. 69 (1997) 931-980
    • (1997) Rev. Mod. Phys. , vol.69 , pp. 931-980
    • Oron, A.1    Davis, S.H.2    Bankoff, S.G.3
  • 5
    • 0031522539 scopus 로고    scopus 로고
    • Bounds on the heat transport in a horizontal fluid layer with stress-free boundaries
    • Vitanov N.K., and Busse F.H. Bounds on the heat transport in a horizontal fluid layer with stress-free boundaries. ZAMP 48 (1997) 310-324
    • (1997) ZAMP , vol.48 , pp. 310-324
    • Vitanov, N.K.1    Busse, F.H.2
  • 6
    • 0010429064 scopus 로고    scopus 로고
    • Upper bound on the heat transport in a layer of fluid of infinite Prandtl number, rigid lower boundary, and stress-free upper boundary
    • Vitanov N.K. Upper bound on the heat transport in a layer of fluid of infinite Prandtl number, rigid lower boundary, and stress-free upper boundary. Phys. Rev. E 61 (2000) 956-959
    • (2000) Phys. Rev. E , vol.61 , pp. 956-959
    • Vitanov, N.K.1
  • 7
    • 4544342073 scopus 로고    scopus 로고
    • Markov chain model for turbulent wind speed data
    • Kantz H., Holstein D., Razwitz M., and Vitanov N.K. Markov chain model for turbulent wind speed data. Physica A 342 (2004) 315-321
    • (2004) Physica A , vol.342 , pp. 315-321
    • Kantz, H.1    Holstein, D.2    Razwitz, M.3    Vitanov, N.K.4
  • 9
    • 0036741847 scopus 로고    scopus 로고
    • The physics of traffic jams
    • Nagatani T. The physics of traffic jams. Rep. Prog. Phys. 65 (2002) 1331-1386
    • (2002) Rep. Prog. Phys. , vol.65 , pp. 1331-1386
    • Nagatani, T.1
  • 11
    • 0004212395 scopus 로고
    • Bullough R.K., and Caudrey P.J. (Eds), Springer, Berlin
    • In: Bullough R.K., and Caudrey P.J. (Eds). Solitons (1980), Springer, Berlin
    • (1980) Solitons
  • 15
    • 0032840323 scopus 로고    scopus 로고
    • The ecological consequences of changes in biodiversity: a search for general principles
    • Tilman D. The ecological consequences of changes in biodiversity: a search for general principles. Ecology 80 (1999) 1455-1474
    • (1999) Ecology , vol.80 , pp. 1455-1474
    • Tilman, D.1
  • 16
    • 0037772374 scopus 로고    scopus 로고
    • The evolution of cultural evolution
    • Henrich J., and McElveath R. The evolution of cultural evolution. Evol. Anthropol. 12 (2003) 123-135
    • (2003) Evol. Anthropol. , vol.12 , pp. 123-135
    • Henrich, J.1    McElveath, R.2
  • 18
    • 0035678201 scopus 로고    scopus 로고
    • Ethnic populations of India as seen from evolutionary perspective
    • Majumder P.P. Ethnic populations of India as seen from evolutionary perspective. J. Biosci. 26 (2001) 533-545
    • (2001) J. Biosci. , vol.26 , pp. 533-545
    • Majumder, P.P.1
  • 19
    • 4243350479 scopus 로고    scopus 로고
    • Solitary wave solutions for variant Boussinesq equations
    • Wang M.L. Solitary wave solutions for variant Boussinesq equations. Phys. Lett. A 199 (1995) 169-172
    • (1995) Phys. Lett. A , vol.199 , pp. 169-172
    • Wang, M.L.1
  • 20
    • 0002169164 scopus 로고    scopus 로고
    • Dark optical solitons: physics and applications
    • Kivsar Y.S., and Luther-Davies B. Dark optical solitons: physics and applications. Phys. Rep. 298 (1998) 81-197
    • (1998) Phys. Rep. , vol.298 , pp. 81-197
    • Kivsar, Y.S.1    Luther-Davies, B.2
  • 21
    • 0035828886 scopus 로고    scopus 로고
    • Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations
    • Liu K.S., Fu Z.T., Liu S.D., and Zhan Q. Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations. Phys. Lett. A 289 (2001) 69-74
    • (2001) Phys. Lett. A , vol.289 , pp. 69-74
    • Liu, K.S.1    Fu, Z.T.2    Liu, S.D.3    Zhan, Q.4
  • 22
    • 0001229736 scopus 로고
    • Solitary wave solutions of nonlinear wave equations
    • Malfliet W. Solitary wave solutions of nonlinear wave equations. Am. J. Phys. 60 (1992) 650-654
    • (1992) Am. J. Phys. , vol.60 , pp. 650-654
    • Malfliet, W.1
  • 23
    • 22244492779 scopus 로고    scopus 로고
    • On the solitary waves in the sine-Gordon model of the two-dimensional Josephson junction
    • Vitanov N.K., and Martinov N.K. On the solitary waves in the sine-Gordon model of the two-dimensional Josephson junction. Z. Phys. B 100 (1996) 129-135
    • (1996) Z. Phys. B , vol.100 , pp. 129-135
    • Vitanov, N.K.1    Martinov, N.K.2
  • 24
    • 33947139166 scopus 로고    scopus 로고
    • Exotic localized structures based on variable separation solution of (2 + 1)-dimensional KdV equation via the extended tanh-method
    • Dai C., Zhou G., and Zhang J. Exotic localized structures based on variable separation solution of (2 + 1)-dimensional KdV equation via the extended tanh-method. Chaos Solitons Fract. 33 (2007) 1458-1467
    • (2007) Chaos Solitons Fract. , vol.33 , pp. 1458-1467
    • Dai, C.1    Zhou, G.2    Zhang, J.3
  • 25
    • 34250217404 scopus 로고    scopus 로고
    • Chaos solitons and fractals in (2 + 1)-dimensional KdV system derived from a periodic wave solution
    • Zhang C.-L., Cai G.-P., and Qiang J.-Y. Chaos solitons and fractals in (2 + 1)-dimensional KdV system derived from a periodic wave solution. Chaos Solitons Fract. 34 (2007) 1575-1583
    • (2007) Chaos Solitons Fract. , vol.34 , pp. 1575-1583
    • Zhang, C.-L.1    Cai, G.-P.2    Qiang, J.-Y.3
  • 26
    • 34147111313 scopus 로고    scopus 로고
    • Localized excitations with periodic and chaotic behaviors in (1 + 1)-dimensional Korteweg-de Vries type system
    • Zheng C.-L., and Zhu H.-P. Localized excitations with periodic and chaotic behaviors in (1 + 1)-dimensional Korteweg-de Vries type system. Chaos Solitons Fract. 34 (2007) 496-502
    • (2007) Chaos Solitons Fract. , vol.34 , pp. 496-502
    • Zheng, C.-L.1    Zhu, H.-P.2
  • 27
    • 48049096604 scopus 로고    scopus 로고
    • Multiple-soliton solutions for the generalized (1 + 1)-dimensional and the generalized (2 + 1)-dimensional Ito equations
    • Wazwaz A.-M. Multiple-soliton solutions for the generalized (1 + 1)-dimensional and the generalized (2 + 1)-dimensional Ito equations. Appl. Math. Comput. 202 (2008) 840-849
    • (2008) Appl. Math. Comput. , vol.202 , pp. 840-849
    • Wazwaz, A.-M.1
  • 28
    • 34548823237 scopus 로고    scopus 로고
    • Multiple soliton solutions for the Boussinesq equation
    • Wazwaz A.-M. Multiple soliton solutions for the Boussinesq equation. Appl. Math. Comput. 192 (2007) 479-486
    • (2007) Appl. Math. Comput. , vol.192 , pp. 479-486
    • Wazwaz, A.-M.1
  • 29
    • 0001524186 scopus 로고
    • On the change of the form of long waves advancing in a rectangular canal and on a new type of long stationary waves
    • Korteweg D., and de Vries G. On the change of the form of long waves advancing in a rectangular canal and on a new type of long stationary waves. Philos. Mag. 36 5 (1895) 422-443
    • (1895) Philos. Mag. , vol.36 , Issue.5 , pp. 422-443
    • Korteweg, D.1    de Vries, G.2
  • 30
    • 33846361348 scopus 로고
    • Interaction of "solitons" in a collisionless plasma and the recurrence of initial states
    • Zabusky N.J., and Kruskal M.D. Interaction of "solitons" in a collisionless plasma and the recurrence of initial states. Phys. Rev. Lett. 15 (1965) 240-243
    • (1965) Phys. Rev. Lett. , vol.15 , pp. 240-243
    • Zabusky, N.J.1    Kruskal, M.D.2
  • 32
    • 1842864943 scopus 로고    scopus 로고
    • Asymptotic solutions for a third-order Korteveg-de-Vries equation
    • Marchant T.R. Asymptotic solutions for a third-order Korteveg-de-Vries equation. Chaos Solitons Fract. 22 (2004) 261-270
    • (2004) Chaos Solitons Fract. , vol.22 , pp. 261-270
    • Marchant, T.R.1
  • 33
    • 33845417126 scopus 로고    scopus 로고
    • Asymptotic solutions on a non-zero mean level
    • Marchant T.R. Asymptotic solutions on a non-zero mean level. Chaos Solitons Fract. 32 (2007) 1328-1336
    • (2007) Chaos Solitons Fract. , vol.32 , pp. 1328-1336
    • Marchant, T.R.1
  • 34
    • 0000507179 scopus 로고
    • Persistent propagation of concentration waves in dissipative media far from thermal equilibrium
    • Kuramoto Y., and Tsuzuki T. Persistent propagation of concentration waves in dissipative media far from thermal equilibrium. Prog. Theor. Phys. 55 (1976) 356-369
    • (1976) Prog. Theor. Phys. , vol.55 , pp. 356-369
    • Kuramoto, Y.1    Tsuzuki, T.2
  • 35
    • 49049133957 scopus 로고
    • Large cells in nonlinear Marangoni convection
    • Sivashinsky G.I. Large cells in nonlinear Marangoni convection. Physica D 4 (1982) 227-235
    • (1982) Physica D , vol.4 , pp. 227-235
    • Sivashinsky, G.I.1
  • 36
    • 0010251877 scopus 로고
    • Exact soliton solutions of the generalized evolution equation of wave dynamics
    • Kudryashov N.A. Exact soliton solutions of the generalized evolution equation of wave dynamics. PMM USSR 52 (1988) 361-365
    • (1988) PMM USSR , vol.52 , pp. 361-365
    • Kudryashov, N.A.1
  • 37
    • 0000607676 scopus 로고
    • Exact solutions of the generalized Kuramoto-Sivashinsky equation
    • Kudryashov N.A. Exact solutions of the generalized Kuramoto-Sivashinsky equation. Phys. Lett. A 147 (1990) 287-291
    • (1990) Phys. Lett. A , vol.147 , pp. 287-291
    • Kudryashov, N.A.1
  • 38
    • 33751530880 scopus 로고    scopus 로고
    • New solitary wave solutions to the Kuramoto-Sivashinsky and the Kawahara equations
    • Wazwaz A.-M. New solitary wave solutions to the Kuramoto-Sivashinsky and the Kawahara equations. Appl. Math. Comput. 182 (2006) 1642-1650
    • (2006) Appl. Math. Comput. , vol.182 , pp. 1642-1650
    • Wazwaz, A.-M.1
  • 39
    • 25144450080 scopus 로고    scopus 로고
    • The tanh method: exact solution of the sine-Gordon and sinh-Gordon equations
    • Wazwaz A.-M. The tanh method: exact solution of the sine-Gordon and sinh-Gordon equations. Appl. Math. Comput. 167 (2005) 1196-1210
    • (2005) Appl. Math. Comput. , vol.167 , pp. 1196-1210
    • Wazwaz, A.-M.1
  • 40
    • 5944246567 scopus 로고
    • On the correspondence between the self-consistent 2D Poisson-Boltzmann structures and the sine-Gordon waves
    • Martinov N., and Vitanov N. On the correspondence between the self-consistent 2D Poisson-Boltzmann structures and the sine-Gordon waves. J. Phys. A: Math. Gen. 25 (1992) L51-L56
    • (1992) J. Phys. A: Math. Gen. , vol.25
    • Martinov, N.1    Vitanov, N.2
  • 41
    • 0028515187 scopus 로고
    • On the self-consistent thermal equilibrium structures in two-dimensional negative-temperature systems
    • Martinov N.K., and Vitanov N.K. On the self-consistent thermal equilibrium structures in two-dimensional negative-temperature systems. Canad. J. Phys. 72 (1994) 618-624
    • (1994) Canad. J. Phys. , vol.72 , pp. 618-624
    • Martinov, N.K.1    Vitanov, N.K.2
  • 42
    • 4244217361 scopus 로고
    • On some solutions of the two-dimensional sine-Gordon equation
    • Martinov N., and Vitanov N. On some solutions of the two-dimensional sine-Gordon equation. J. Phys. A: Math. Gen. 25 (1992) L419-L426
    • (1992) J. Phys. A: Math. Gen. , vol.25
    • Martinov, N.1    Vitanov, N.2
  • 43
    • 22244477567 scopus 로고
    • New class of running-wave solutions of the 2 + 1-dimensional sine-Gordon equation
    • Martinov N.K., and Vitanov N.K. New class of running-wave solutions of the 2 + 1-dimensional sine-Gordon equation. J. Phys. A: Math. Gen. 27 (1994) 4611-4618
    • (1994) J. Phys. A: Math. Gen. , vol.27 , pp. 4611-4618
    • Martinov, N.K.1    Vitanov, N.K.2
  • 44
    • 21344455261 scopus 로고    scopus 로고
    • On traveling waves and double-periodic structures in two-dimensional sine-Gordon systems
    • Vitanov N.K. On traveling waves and double-periodic structures in two-dimensional sine-Gordon systems. J. Phys. A: Math. Gen. 29 (1996) 5195-5207
    • (1996) J. Phys. A: Math. Gen. , vol.29 , pp. 5195-5207
    • Vitanov, N.K.1
  • 45
    • 0039650563 scopus 로고
    • On an analytical solution of the two-dimensional Korteweg-de Vries equation
    • Druma V. On an analytical solution of the two-dimensional Korteweg-de Vries equation. JETP Lett. 19 12 (1974) 219-225
    • (1974) JETP Lett. , vol.19 , Issue.12 , pp. 219-225
    • Druma, V.1
  • 46
    • 33747355722 scopus 로고    scopus 로고
    • Multisoliton excitations for the Kadomtsev-Petviashvili equation and the coupled Burgers equation
    • Ma Z.-Y., Wu X.-F., and Zhu J.-M. Multisoliton excitations for the Kadomtsev-Petviashvili equation and the coupled Burgers equation. Chaos Solitons Fract. 31 (2007) 648-657
    • (2007) Chaos Solitons Fract. , vol.31 , pp. 648-657
    • Ma, Z.-Y.1    Wu, X.-F.2    Zhu, J.-M.3
  • 47
    • 35348822986 scopus 로고    scopus 로고
    • Novel types of interactions between solitons in the (2 + 1)-dimensional Nizhnik-Novikov-Veselov system
    • Dai C., Liu F., and Zhang J. Novel types of interactions between solitons in the (2 + 1)-dimensional Nizhnik-Novikov-Veselov system. Chaos Solitons Fract. 36 (2008) 437-445
    • (2008) Chaos Solitons Fract. , vol.36 , pp. 437-445
    • Dai, C.1    Liu, F.2    Zhang, J.3
  • 48
    • 35348912410 scopus 로고    scopus 로고
    • New soliton structures with non-propagatory behavior in three-dimensional system
    • Cheng L.B. New soliton structures with non-propagatory behavior in three-dimensional system. Chaos Solitons Fract. 36 (2008) 253-262
    • (2008) Chaos Solitons Fract. , vol.36 , pp. 253-262
    • Cheng, L.B.1
  • 49
    • 34147152188 scopus 로고    scopus 로고
    • New exact solutions to the (2 + 1)-dimensional Broer-Kaup equation
    • Zhu J., and Ma Z. New exact solutions to the (2 + 1)-dimensional Broer-Kaup equation. Chaos Solitons Fract. 34 (2007) 476-481
    • (2007) Chaos Solitons Fract. , vol.34 , pp. 476-481
    • Zhu, J.1    Ma, Z.2
  • 50
    • 33745836178 scopus 로고    scopus 로고
    • Doubly periodic wave and folded solitary wave solutions for (2 + 1)-dimensional and higher order Broer-Kaup equation
    • Huang W., Liu Y., and Lu Z. Doubly periodic wave and folded solitary wave solutions for (2 + 1)-dimensional and higher order Broer-Kaup equation. Chaos Solitons Fract. 31 (2007) 54-63
    • (2007) Chaos Solitons Fract. , vol.31 , pp. 54-63
    • Huang, W.1    Liu, Y.2    Lu, Z.3
  • 51
    • 17644391061 scopus 로고    scopus 로고
    • Exact solution and semifolded structures of generalized Broer-Kaup system in (2 + 1)-dimensions
    • Zheng C.-L., Zhu H.-P., and Chen L.-Q. Exact solution and semifolded structures of generalized Broer-Kaup system in (2 + 1)-dimensions. Chaos Solitons Fract. 26 (2005) 187-194
    • (2005) Chaos Solitons Fract. , vol.26 , pp. 187-194
    • Zheng, C.-L.1    Zhu, H.-P.2    Chen, L.-Q.3
  • 52
    • 0037332672 scopus 로고    scopus 로고
    • Abundant soliton structures of (2 + 1)-dimensional NLS equation
    • Ruan H.-Y., and Chen Y.-H. Abundant soliton structures of (2 + 1)-dimensional NLS equation. Chaos Solitons Fract. 15 (2003) 947-955
    • (2003) Chaos Solitons Fract. , vol.15 , pp. 947-955
    • Ruan, H.-Y.1    Chen, Y.-H.2
  • 53
    • 70449520575 scopus 로고    scopus 로고
    • On soliton and periodic solutions of Maxwell-Bloch system for two-level medium with degeneracy
    • Leble S.B., and Ustinov N.V. On soliton and periodic solutions of Maxwell-Bloch system for two-level medium with degeneracy. Chaos Solitons Fract. 26 (2005) 187-194
    • (2005) Chaos Solitons Fract. , vol.26 , pp. 187-194
    • Leble, S.B.1    Ustinov, N.V.2
  • 54
    • 34548580162 scopus 로고    scopus 로고
    • Wave dynamics for peaked solitons of the Camassa-Holm equation
    • Parker A. Wave dynamics for peaked solitons of the Camassa-Holm equation. Chaos Solitons Fract. 35 (2008) 220-237
    • (2008) Chaos Solitons Fract. , vol.35 , pp. 220-237
    • Parker, A.1
  • 55
    • 0034617643 scopus 로고    scopus 로고
    • Influence of adaptation on the nonlinear dynamics of a system of competing populations
    • Dimitrova Z.I., and Vitanov N.K. Influence of adaptation on the nonlinear dynamics of a system of competing populations. Phys. Lett. A 272 (2000) 368-380
    • (2000) Phys. Lett. A , vol.272 , pp. 368-380
    • Dimitrova, Z.I.1    Vitanov, N.K.2
  • 56
    • 0035929537 scopus 로고    scopus 로고
    • Dynamical consequences of adaptation of growth rates in a system of three competing populations
    • Dimitrova Z.I., and Vitanov N.K. Dynamical consequences of adaptation of growth rates in a system of three competing populations. J. Phys. A: Math. Gen. 34 (2001) 7459-7473
    • (2001) J. Phys. A: Math. Gen. , vol.34 , pp. 7459-7473
    • Dimitrova, Z.I.1    Vitanov, N.K.2
  • 57
    • 0035498458 scopus 로고    scopus 로고
    • Adaptation and its impact on the dynamics of a system of three competing populations
    • Dimitrova Z.I., and Vitanov N.K. Adaptation and its impact on the dynamics of a system of three competing populations. Physica A 300 (2001) 91-115
    • (2001) Physica A , vol.300 , pp. 91-115
    • Dimitrova, Z.I.1    Vitanov, N.K.2
  • 59
    • 29644431592 scopus 로고    scopus 로고
    • On the trap of extinction and its elimination
    • Vitanov N.K., Dimitrova Z.I., and Kantz H. On the trap of extinction and its elimination. Phys. Lett. A 349 (2006) 350-355
    • (2006) Phys. Lett. A , vol.349 , pp. 350-355
    • Vitanov, N.K.1    Dimitrova, Z.I.2    Kantz, H.3
  • 60
    • 51249193024 scopus 로고
    • Further considerations on the statistical mechanics of biological associations
    • Kerner E.H. Further considerations on the statistical mechanics of biological associations. Bull. Math. Biophys. 21 (1959) 217-253
    • (1959) Bull. Math. Biophys. , vol.21 , pp. 217-253
    • Kerner, E.H.1
  • 61
    • 0037118984 scopus 로고    scopus 로고
    • Multiple traveling wave solutions of nonlinear evolution equations using a unified algebraic method
    • Fan E. Multiple traveling wave solutions of nonlinear evolution equations using a unified algebraic method. J. Phys. A: Math. Gen. 35 (2002) 6853-6872
    • (2002) J. Phys. A: Math. Gen. , vol.35 , pp. 6853-6872
    • Fan, E.1
  • 62
    • 4243350479 scopus 로고    scopus 로고
    • Solitary wave solutions for variant Boussinesq equations
    • Wang M.L. Solitary wave solutions for variant Boussinesq equations. Phys. Lett. A 199 (1999) 169-172
    • (1999) Phys. Lett. A , vol.199 , pp. 169-172
    • Wang, M.L.1
  • 63
    • 0035825177 scopus 로고    scopus 로고
    • Exact solutions of nonlinear PDE, nonlinear transformations and reduction of nonlinear PDE to a quadrature
    • Yang L., Liu J., and Yang K. Exact solutions of nonlinear PDE, nonlinear transformations and reduction of nonlinear PDE to a quadrature. Phys. Lett. A 278 (2001) 267-270
    • (2001) Phys. Lett. A , vol.278 , pp. 267-270
    • Yang, L.1    Liu, J.2    Yang, K.3
  • 64
    • 0042440381 scopus 로고    scopus 로고
    • Travelling solitary wave solutions to a compound KdV-Burgers equation
    • Parker E.J., and Duffy B.R. Travelling solitary wave solutions to a compound KdV-Burgers equation. Phys. Lett. A 229 (1997) 200-217
    • (1997) Phys. Lett. A , vol.229 , pp. 200-217
    • Parker, E.J.1    Duffy, B.R.2
  • 65
    • 13444309466 scopus 로고    scopus 로고
    • Simplest equation method to look for exact solutions of nonlinear differential equations
    • Kudryashov N.A. Simplest equation method to look for exact solutions of nonlinear differential equations. Chaos Solitons Fract. 24 (2005) 1217-1231
    • (2005) Chaos Solitons Fract. , vol.24 , pp. 1217-1231
    • Kudryashov, N.A.1
  • 66
    • 20444493250 scopus 로고    scopus 로고
    • Exact solitary waves of the Fisher equation
    • Kudyashov N.A. Exact solitary waves of the Fisher equation. Phys. Lett. A 342 (2005) 99-106
    • (2005) Phys. Lett. A , vol.342 , pp. 99-106
    • Kudyashov, N.A.1
  • 67
    • 0003032052 scopus 로고
    • Painleve expansions for nonintegrable evolution-equations
    • Carrielo F., and Tabor M. Painleve expansions for nonintegrable evolution-equations. Physica D 39 (1989) 77-94
    • (1989) Physica D , vol.39 , pp. 77-94
    • Carrielo, F.1    Tabor, M.2
  • 68
    • 34250084625 scopus 로고
    • Exact solutions of a family of Fisher equations
    • Kudryashov N.A. Exact solutions of a family of Fisher equations. Theor. Math. Phys. 94 (1993) 211-218
    • (1993) Theor. Math. Phys. , vol.94 , pp. 211-218
    • Kudryashov, N.A.1
  • 70
    • 4344571866 scopus 로고    scopus 로고
    • Exact solutions of the Burgers-Huxley equation
    • Efimova O.Yu., and Kudyashov N.A. Exact solutions of the Burgers-Huxley equation. J. Appl. Math. Mech. 68 (2004) 413-420
    • (2004) J. Appl. Math. Mech. , vol.68 , pp. 413-420
    • Efimova, O.Yu.1    Kudyashov, N.A.2
  • 71
    • 54049115011 scopus 로고    scopus 로고
    • Extended simplest equation method for nonlinear differential equations
    • Kudryashov N.A., and Loguinova N.B. Extended simplest equation method for nonlinear differential equations. Appl. Math. Comput. 205 (2008) 396-402
    • (2008) Appl. Math. Comput. , vol.205 , pp. 396-402
    • Kudryashov, N.A.1    Loguinova, N.B.2
  • 72
    • 36749112076 scopus 로고
    • The Painleve property for partial differential equations
    • Weiss J., Tabor M., and Carnevalle G. The Painleve property for partial differential equations. J. Math. Phys. 24 (1983) 522-526
    • (1983) J. Math. Phys. , vol.24 , pp. 522-526
    • Weiss, J.1    Tabor, M.2    Carnevalle, G.3
  • 73
    • 3042750187 scopus 로고    scopus 로고
    • The tanh method for traveling wave solutions of nonlinear equations
    • Wazwaz A.-M. The tanh method for traveling wave solutions of nonlinear equations. Appl. Math. Comput. 154 (2004) 713-723
    • (2004) Appl. Math. Comput. , vol.154 , pp. 713-723
    • Wazwaz, A.-M.1
  • 74
    • 0030145528 scopus 로고    scopus 로고
    • Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation
    • Ma W.X., and Fuchssteiner B. Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation. Int. J. Non-linear Dyn. 31 (1996) 329-338
    • (1996) Int. J. Non-linear Dyn. , vol.31 , pp. 329-338
    • Ma, W.X.1    Fuchssteiner, B.2
  • 75
    • 0001068194 scopus 로고
    • Interactions of travelling fronts: an exact solution of a nonlinear diffusion equation
    • Kawahara T., and Tanaka M. Interactions of travelling fronts: an exact solution of a nonlinear diffusion equation. Phys. Lett. A 97 (1983) 311-314
    • (1983) Phys. Lett. A , vol.97 , pp. 311-314
    • Kawahara, T.1    Tanaka, M.2
  • 76
    • 0000268135 scopus 로고
    • The wave of advance of advantageous gene
    • Fisher R.A. The wave of advance of advantageous gene. Ann. Eugenics 7 (1937) 355-369
    • (1937) Ann. Eugenics , vol.7 , pp. 355-369
    • Fisher, R.A.1
  • 77
    • 0002722044 scopus 로고
    • A study of the diffusion equation with increasing in the amount of substance, and its application to a biological problem
    • Kolmogorov A., Petrovskii I., and Piskunov N. A study of the diffusion equation with increasing in the amount of substance, and its application to a biological problem. Bull. Moscow Univ. Math. Mech. 1 (1937) 1-26
    • (1937) Bull. Moscow Univ. Math. Mech. , vol.1 , pp. 1-26
    • Kolmogorov, A.1    Petrovskii, I.2    Piskunov, N.3
  • 78
    • 0018569774 scopus 로고
    • Explicit solutions of Fisher equation for a special wave speed
    • Ablowitz M.J., and Zeppetela A. Explicit solutions of Fisher equation for a special wave speed. Bull. Math. Biol. 41 (1979) 835-840
    • (1979) Bull. Math. Biol. , vol.41 , pp. 835-840
    • Ablowitz, M.J.1    Zeppetela, A.2
  • 79
    • 0010224969 scopus 로고
    • Exact and explicit wave solutions for the generalized Fisher equation
    • Wang X.Y. Exact and explicit wave solutions for the generalized Fisher equation. Phys. Lett. A 131 (1988) 277-279
    • (1988) Phys. Lett. A , vol.131 , pp. 277-279
    • Wang, X.Y.1


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