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Volumn 216, Issue 5, 2010, Pages 1546-1552

Exp-function method for Riccati equation and new exact solutions with two arbitrary functions of (2 + 1)-dimensional Konopelchenko-Dubrovsky equations

Author keywords

Exp function method; Generalized solitary wave solutions; Nonlinear evolution equations; Riccati equation

Indexed keywords

ARBITRARY FUNCTIONS; EXACT SOLUTION; EXP-FUNCTION METHOD; MATHEMATICAL PHYSICS; MATHEMATICAL TOOLS; NONLINEAR EVOLUTION EQUATION; NONLINEAR EVOLUTION EQUATIONS; SOLITARY WAVE SOLUTION;

EID: 77950858038     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2010.03.005     Document Type: Article
Times cited : (21)

References (63)
  • 1
    • 35949040541 scopus 로고
    • Exact solution of the Korteweg-de Vries equation for multiple collisions of solitons
    • Hirota R. Exact solution of the Korteweg-de Vries equation for multiple collisions of solitons. Phys. Rev. Lett. 27 (1971) 1192-1194
    • (1971) Phys. Rev. Lett. , vol.27 , pp. 1192-1194
    • Hirota, R.1
  • 3
    • 36749112076 scopus 로고
    • The Painlevé property for partial differential equations
    • Weiss J., Tabor M., and Carnevale G. The Painlevé 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    Carnevale, G.3
  • 4
    • 0043093642 scopus 로고    scopus 로고
    • A simple transformation for nonlinear waves
    • Yan C.T. A simple transformation for nonlinear waves. Phys. Lett. A 224 (1996) 77-84
    • (1996) Phys. Lett. A , vol.224 , pp. 77-84
    • Yan, C.T.1
  • 5
    • 0001051423 scopus 로고    scopus 로고
    • Exact solution for a compound KdV-Burgers equations
    • Wang M.L. Exact solution for a compound KdV-Burgers equations. Phys. Lett. A 213 (1996) 279-287
    • (1996) Phys. Lett. A , vol.213 , pp. 279-287
    • Wang, M.L.1
  • 6
    • 17844395724 scopus 로고    scopus 로고
    • Application of He's homotopy perturbation method to Volterra's integro-differential equation
    • El-Shahed M. Application of He's homotopy perturbation method to Volterra's integro-differential equation. Int. J. Nonlinear Sci. Numer. Simul. 6 (2005) 163-168
    • (2005) Int. J. Nonlinear Sci. Numer. Simul. , vol.6 , pp. 163-168
    • El-Shahed, M.1
  • 7
    • 17844387391 scopus 로고    scopus 로고
    • Homotopy perturbation method for bifurcation of nonlinear problems
    • He J.H. Homotopy perturbation method for bifurcation of nonlinear problems. Int. J. Nonlinear Sci. Numer. Simul. 6 (2005) 207-208
    • (2005) Int. J. Nonlinear Sci. Numer. Simul. , vol.6 , pp. 207-208
    • He, J.H.1
  • 8
    • 18844426016 scopus 로고    scopus 로고
    • Application of homotopy perturbation method to nonlinear wave equations
    • He J.H. Application of homotopy perturbation method to nonlinear wave equations. Chaos Solitons Fractals 26 (2005) 695-700
    • (2005) Chaos Solitons Fractals , vol.26 , pp. 695-700
    • He, J.H.1
  • 9
    • 0000092673 scopus 로고    scopus 로고
    • Variational iteration method - a kind of nonlinear analytical technique: some examples
    • He J.H. Variational iteration method - a kind of nonlinear analytical technique: some examples. Int. J. Nonlinear Mech. 34 (1999) 699-708
    • (1999) Int. J. Nonlinear Mech. , vol.34 , pp. 699-708
    • He, J.H.1
  • 10
    • 0040184009 scopus 로고    scopus 로고
    • Variational iteration method for autonomous ordinary differential systems
    • He J.H. Variational iteration method for autonomous ordinary differential systems. Appl. Math. Comput. 114 (2000) 115-123
    • (2000) Appl. Math. Comput. , vol.114 , pp. 115-123
    • He, J.H.1
  • 11
    • 34250671996 scopus 로고    scopus 로고
    • Variational iteration method - reality, potential, and challenges
    • Xu L., He J.H., and Wazwaz A.M. Variational iteration method - reality, potential, and challenges. J. Comput. Appl. Math. 207 (2007) 1-2
    • (2007) J. Comput. Appl. Math. , vol.207 , pp. 1-2
    • Xu, L.1    He, J.H.2    Wazwaz, A.M.3
  • 12
    • 34249883978 scopus 로고    scopus 로고
    • Variational iteration method for construction of some compact and noncompact structures of Klein-Gordon equations
    • Yusufoglu E. Variational iteration method for construction of some compact and noncompact structures of Klein-Gordon equations. Int. J. Nonlinear Sci. Numer. Simul. 8 (2007) 153-158
    • (2007) Int. J. Nonlinear Sci. Numer. Simul. , vol.8 , pp. 153-158
    • Yusufoglu, E.1
  • 13
    • 33645972898 scopus 로고    scopus 로고
    • Some asymptotic methods for strongly nonlinear equations
    • He J.H. Some asymptotic methods for strongly nonlinear equations. Int. J. Mod. Phys. B 20 (2006) 1141-1199
    • (2006) Int. J. Mod. Phys. B , vol.20 , pp. 1141-1199
    • He, J.H.1
  • 14
    • 33748922411 scopus 로고    scopus 로고
    • Non-Perturbative Methods for Strongly Nonlinear Problems
    • Dissertation, de-Verlag im Internet GmbH, Berlin
    • J.H. He, Non-Perturbative Methods for Strongly Nonlinear Problems, Dissertation, de-Verlag im Internet GmbH, Berlin, 2006.
    • (2006)
    • He, J.H.1
  • 16
    • 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
  • 17
    • 0034606149 scopus 로고    scopus 로고
    • Extended tanh-function method and its applications to nonlinear equations
    • Fan E.G. Extended tanh-function method and its applications to nonlinear equations. Phys. Lett. A 227 (2000) 212-218
    • (2000) Phys. Lett. A , vol.227 , pp. 212-218
    • Fan, E.G.1
  • 18
    • 0037699034 scopus 로고    scopus 로고
    • On a new modified extended tanh-function method
    • Lü Z.S., and Zhang H.Q. On a new modified extended tanh-function method. Commun. Theor. Phys. 39 (2003) 405-408
    • (2003) Commun. Theor. Phys. , vol.39 , pp. 405-408
    • Lü, Z.S.1    Zhang, H.Q.2
  • 19
    • 33749514277 scopus 로고    scopus 로고
    • Symbolic computation and new families of exact non-travelling wave solutions of (3 + 1)-dimensional Kadomstev-Petviashvili equation
    • Zhang S., and Xia T.C. Symbolic computation and new families of exact non-travelling wave solutions of (3 + 1)-dimensional Kadomstev-Petviashvili equation. Appl. Math. Comput. 181 (2006) 319-331
    • (2006) Appl. Math. Comput. , vol.181 , pp. 319-331
    • Zhang, S.1    Xia, T.C.2
  • 20
    • 33747366968 scopus 로고    scopus 로고
    • Symbolic computation and new families of exact non-travelling wave solutions of (2 + 1)-dimensional Konopelchenko-Dubrovsky equations
    • Zhang S. Symbolic computation and new families of exact non-travelling wave solutions of (2 + 1)-dimensional Konopelchenko-Dubrovsky equations. Chaos Solitons Fractals 31 (2007) 951-959
    • (2007) Chaos Solitons Fractals , vol.31 , pp. 951-959
    • Zhang, S.1
  • 21
    • 0037194402 scopus 로고    scopus 로고
    • Travelling wave solutions in terms of special functions for nonlinear coupled evolution systems
    • Fan E.G. Travelling wave solutions in terms of special functions for nonlinear coupled evolution systems. Phys. Lett. A 300 (2002) 243-249
    • (2002) Phys. Lett. A , vol.300 , pp. 243-249
    • Fan, E.G.1
  • 22
    • 22344456077 scopus 로고    scopus 로고
    • The modified extended Fan sub-equation method and its application to the (2 + 1)-dimensional Broer-Kaup-Kupershmidt equation
    • Yomba E. The modified extended Fan sub-equation method and its application to the (2 + 1)-dimensional Broer-Kaup-Kupershmidt equation. Chaos Solitons Fractals 27 (2006) 187-196
    • (2006) Chaos Solitons Fractals , vol.27 , pp. 187-196
    • Yomba, E.1
  • 23
    • 33745255997 scopus 로고    scopus 로고
    • A further improved extended Fan sub-equation method and its application to the (3 + 1)-dimensional Kadomstev-Petviashvili equation
    • Zhang S., and Xia T.C. A further improved extended Fan sub-equation method and its application to the (3 + 1)-dimensional Kadomstev-Petviashvili equation. Phys. Lett. A 356 (2006) 119-123
    • (2006) Phys. Lett. A , vol.356 , pp. 119-123
    • Zhang, S.1    Xia, T.C.2
  • 24
    • 33751516044 scopus 로고    scopus 로고
    • Further improved extended Fan sub-equation method and new exact solutions of the (2 + 1)-dimensional Broer-Kaup-Kupershmidt equations
    • Zhang S., and Xia T.C. Further improved extended Fan sub-equation method and new exact solutions of the (2 + 1)-dimensional Broer-Kaup-Kupershmidt equations. Appl. Math. Comput. 182 (2006) 1651-1660
    • (2006) Appl. Math. Comput. , vol.182 , pp. 1651-1660
    • Zhang, S.1    Xia, T.C.2
  • 25
    • 0035828886 scopus 로고    scopus 로고
    • Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations
    • Liu S.K., Fu Z.T., Liu S.D., and Zhao 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, S.K.1    Fu, Z.T.2    Liu, S.D.3    Zhao, Q.4
  • 26
    • 0035813363 scopus 로고    scopus 로고
    • Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations
    • Fu Z.T., Liu S.K., Liu S.D., and Zhao Q. Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations. Phys. Lett. A 290 (2001) 72-76
    • (2001) Phys. Lett. A , vol.290 , pp. 72-76
    • Fu, Z.T.1    Liu, S.K.2    Liu, S.D.3    Zhao, Q.4
  • 27
    • 0036539957 scopus 로고    scopus 로고
    • The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations
    • Parkes E.J., Duffy B.R., and Abbott P.C. The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations. Phys. Lett. A 295 (2002) 280-286
    • (2002) Phys. Lett. A , vol.295 , pp. 280-286
    • Parkes, E.J.1    Duffy, B.R.2    Abbott, P.C.3
  • 28
    • 0242507103 scopus 로고    scopus 로고
    • Periodic wave solutions to a coupled KdV equations with variable coefficients
    • Zhou Y.B., Wang M.L., and Wang Y.M. Periodic wave solutions to a coupled KdV equations with variable coefficients. Phys. Lett. A 308 (2003) 31-36
    • (2003) Phys. Lett. A , vol.308 , pp. 31-36
    • Zhou, Y.B.1    Wang, M.L.2    Wang, Y.M.3
  • 29
    • 14944374499 scopus 로고    scopus 로고
    • Further improved F-expansion method and new exact solutions of Konopelchenko-Dubrovsky equation
    • Wang D.S., and Zhang H.Q. Further improved F-expansion method and new exact solutions of Konopelchenko-Dubrovsky equation. Chaos Solitons Fractals 25 (2005) 601-610
    • (2005) Chaos Solitons Fractals , vol.25 , pp. 601-610
    • Wang, D.S.1    Zhang, H.Q.2
  • 30
    • 33845792126 scopus 로고    scopus 로고
    • A generalized F-expansion method and new exact solutions of Konopelchenko-Dubrovsky equations
    • Zhang S., and Xia T.C. A generalized F-expansion method and new exact solutions of Konopelchenko-Dubrovsky equations. Appl. Math. Comput. 183 (2006) 1190-1200
    • (2006) Appl. Math. Comput. , vol.183 , pp. 1190-1200
    • Zhang, S.1    Xia, T.C.2
  • 31
    • 33745822754 scopus 로고    scopus 로고
    • The periodic wave solutions for the (2 + 1)-dimensional Konopelchenko-Dubrovsky equations
    • Zhang S. The periodic wave solutions for the (2 + 1)-dimensional Konopelchenko-Dubrovsky equations. Chaos Solitons Fractals 30 (2006) 1213-1220
    • (2006) Chaos Solitons Fractals , vol.30 , pp. 1213-1220
    • Zhang, S.1
  • 32
    • 33748193665 scopus 로고    scopus 로고
    • New exact solutions of the KdV-Burgers-Kuramoto equation
    • Zhang S. New exact solutions of the KdV-Burgers-Kuramoto equation. Phys. Lett. A 358 (2006) 414-420
    • (2006) Phys. Lett. A , vol.358 , pp. 414-420
    • Zhang, S.1
  • 33
    • 33749573230 scopus 로고    scopus 로고
    • The periodic wave solutions for the (2 + 1)-dimensional dispersive long water equations
    • Zhang S. The periodic wave solutions for the (2 + 1)-dimensional dispersive long water equations. Chaos Solitons Fractals 32 (2007) 847-854
    • (2007) Chaos Solitons Fractals , vol.32 , pp. 847-854
    • Zhang, S.1
  • 34
    • 33845455039 scopus 로고    scopus 로고
    • Further improved F-expansion method and new exact solutions of Kadomstev-Petviashvili equation
    • Zhang S. Further improved F-expansion method and new exact solutions of Kadomstev-Petviashvili equation. Chaos Solitons Fractals 33 (2007) 1375-1383
    • (2007) Chaos Solitons Fractals , vol.33 , pp. 1375-1383
    • Zhang, S.1
  • 35
    • 34248326114 scopus 로고    scopus 로고
    • A generalized F-expansion method with symbolic computation exactly solving Broer-Kaup equations
    • Zhang S. A generalized F-expansion method with symbolic computation exactly solving Broer-Kaup equations. Appl. Math. Comput. 189 (2006) 836-843
    • (2006) Appl. Math. Comput. , vol.189 , pp. 836-843
    • Zhang, S.1
  • 36
    • 0346979250 scopus 로고    scopus 로고
    • Auxiliary equation method for solving nonlinear partial differential equations
    • Sirendaoreji, and Sun J. Auxiliary equation method for solving nonlinear partial differential equations. Phys. Lett. A 309 (2003) 387-396
    • (2003) Phys. Lett. A , vol.309 , pp. 387-396
    • Sirendaoreji1    Sun, J.2
  • 37
    • 35348931456 scopus 로고    scopus 로고
    • A generalized auxiliary equation method and its application to (2 + 1)-dimensional asymmetric Nizhnik-Novikov-Vesselov equations
    • Zhang S., and Xia T.C. A generalized auxiliary equation method and its application to (2 + 1)-dimensional asymmetric Nizhnik-Novikov-Vesselov equations. J. Phys. A: Math. Theor. 40 (2007) 27-248
    • (2007) J. Phys. A: Math. Theor. , vol.40 , pp. 27-248
    • Zhang, S.1    Xia, T.C.2
  • 38
    • 33847070844 scopus 로고    scopus 로고
    • A generalized new auxiliary equation method and its applications to nonlinear partial differential equations
    • Zhang S., and Xia T.C. A generalized new auxiliary equation method and its applications to nonlinear partial differential equations. Phys. Lett. A 363 (2007) 356-360
    • (2007) Phys. Lett. A , vol.363 , pp. 356-360
    • Zhang, S.1    Xia, T.C.2
  • 39
    • 34247632655 scopus 로고    scopus 로고
    • A generalized auxiliary equation method and its application to the (2 + 1)-dimensional KdV equations
    • Zhang S. A generalized auxiliary equation method and its application to the (2 + 1)-dimensional KdV equations. Appl. Math. Comput. 188 (2007) 1-6
    • (2007) Appl. Math. Comput. , vol.188 , pp. 1-6
    • Zhang, S.1
  • 40
    • 34249794875 scopus 로고    scopus 로고
    • A generalized new auxiliary equation method and its application to the (2 + 1)-dimensional breaking soliton equations
    • Zhang S. A generalized new auxiliary equation method and its application to the (2 + 1)-dimensional breaking soliton equations. Appl. Math. Comput. 190 (2007) 510-516
    • (2007) Appl. Math. Comput. , vol.190 , pp. 510-516
    • Zhang, S.1
  • 41
    • 34748888282 scopus 로고    scopus 로고
    • A generalized auxiliary equation method and its application to (2 + 1)-dimensional Korteweg-de Vries equations
    • Zhang S. A generalized auxiliary equation method and its application to (2 + 1)-dimensional Korteweg-de Vries equations. Comput. Math. Appl. 54 (2007) 1028-1038
    • (2007) Comput. Math. Appl. , vol.54 , pp. 1028-1038
    • Zhang, S.1
  • 42
    • 33745177020 scopus 로고    scopus 로고
    • Exp-function method for nonlinear wave equations
    • He J.H., and Wu X.H. Exp-function method for nonlinear wave equations. Chaos Solitons Fractals 30 (2006) 700-708
    • (2006) Chaos Solitons Fractals , vol.30 , pp. 700-708
    • He, J.H.1    Wu, X.H.2
  • 43
    • 34250163508 scopus 로고    scopus 로고
    • New periodic solutions for nonlinear evolution equations using Exp-function method
    • He J.H., and Abdou M.A. New periodic solutions for nonlinear evolution equations using Exp-function method. Chaos Solitons Fractals 34 (2007) 1421-1429
    • (2007) Chaos Solitons Fractals , vol.34 , pp. 1421-1429
    • He, J.H.1    Abdou, M.A.2
  • 44
    • 38649132547 scopus 로고    scopus 로고
    • Generalized solitary solution and compacton-like solution of the Jaulent-Miodek equations using the Exp-function method
    • He J.H., and Zhang L.N. Generalized solitary solution and compacton-like solution of the Jaulent-Miodek equations using the Exp-function method. Phys. Lett. A 372 (2007) 044-1047
    • (2007) Phys. Lett. A , vol.372 , pp. 044-1047
    • He, J.H.1    Zhang, L.N.2
  • 45
    • 43049083734 scopus 로고    scopus 로고
    • Exp-function method and its application to nonlinear equations
    • Wu X.H., and He J.H. Exp-function method and its application to nonlinear equations. Chaos Solitons Fractals 38 (2008) 903-910
    • (2008) Chaos Solitons Fractals , vol.38 , pp. 903-910
    • Wu, X.H.1    He, J.H.2
  • 46
    • 34748862326 scopus 로고    scopus 로고
    • Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method
    • Wu X.H., and He J.H. Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method. Comput. Math. Appl. 54 (2007) 966-986
    • (2007) Comput. Math. Appl. , vol.54 , pp. 966-986
    • Wu, X.H.1    He, J.H.2
  • 47
    • 34147152832 scopus 로고    scopus 로고
    • Exact solitary wave solutions for some nonlinear evolution equations via Exp-function method
    • Ebaid A. Exact solitary wave solutions for some nonlinear evolution equations via Exp-function method. Phys. Lett. A 365 (2007) 213-219
    • (2007) Phys. Lett. A , vol.365 , pp. 213-219
    • Ebaid, A.1
  • 48
    • 34548577315 scopus 로고    scopus 로고
    • Exp-function method for the hybrid-lattice system
    • Zhu S.D. Exp-function method for the hybrid-lattice system. Int. J. Nonlinear Sci. Numer. Simul. 8 (2007) 461-464
    • (2007) Int. J. Nonlinear Sci. Numer. Simul. , vol.8 , pp. 461-464
    • Zhu, S.D.1
  • 49
    • 34548577316 scopus 로고    scopus 로고
    • Exp-function method for the discrete mKdV lattice
    • Zhu S.D. Exp-function method for the discrete mKdV lattice. Int. J. Nonlinear Sci. Numer. Simul. 8 (2007) 465-469
    • (2007) Int. J. Nonlinear Sci. Numer. Simul. , vol.8 , pp. 465-469
    • Zhu, S.D.1
  • 50
    • 38049093299 scopus 로고    scopus 로고
    • Discrete (2 + 1)-dimensional Toda lattice equation via Exp-function method
    • Zhu S.D. Discrete (2 + 1)-dimensional Toda lattice equation via Exp-function method. Phys. Lett. A 372 (2007) 654-657
    • (2007) Phys. Lett. A , vol.372 , pp. 654-657
    • Zhu, S.D.1
  • 51
    • 34247350849 scopus 로고    scopus 로고
    • Application of Exp-function method to a KdV equation with variable coefficients
    • Zhang S. Application of Exp-function method to a KdV equation with variable coefficients. Phys. Lett. A 365 (2007) 448-453
    • (2007) Phys. Lett. A , vol.365 , pp. 448-453
    • Zhang, S.1
  • 52
    • 35348977120 scopus 로고    scopus 로고
    • Exp-function method for solving Maccari's system
    • Zhang S. Exp-function method for solving Maccari's system. Phys. Lett. A 371 (2007) 65-71
    • (2007) Phys. Lett. A , vol.371 , pp. 65-71
    • Zhang, S.1
  • 53
    • 41949134879 scopus 로고    scopus 로고
    • Exp-function method for constructing explicit and exact solutions of a lattice equation
    • Zhang S. Exp-function method for constructing explicit and exact solutions of a lattice equation. Appl. Math. Comput. 199 (2008) 242-249
    • (2008) Appl. Math. Comput. , vol.199 , pp. 242-249
    • Zhang, S.1
  • 54
    • 41849090442 scopus 로고    scopus 로고
    • Application of Exp-function method to high-dimensional nonlinear evolution equation
    • Zhang S. Application of Exp-function method to high-dimensional nonlinear evolution equation. Chaos Solitons Fractals 38 (2008) 270-276
    • (2008) Chaos Solitons Fractals , vol.38 , pp. 270-276
    • Zhang, S.1
  • 55
    • 39749091634 scopus 로고    scopus 로고
    • Exact solutions of a KdV equation with variable coefficients via Exp-function method
    • Zhang S. Exact solutions of a KdV equation with variable coefficients via Exp-function method. Nonlinear Dyn. 52 (2008) 11-17
    • (2008) Nonlinear Dyn. , vol.52 , pp. 11-17
    • Zhang, S.1
  • 56
    • 38949156201 scopus 로고    scopus 로고
    • Exp-function method exactly solving a KdV equation with forcing term
    • Zhang S. Exp-function method exactly solving a KdV equation with forcing term. Appl. Math. Comput. 197 (2008) 128-134
    • (2008) Appl. Math. Comput. , vol.197 , pp. 128-134
    • Zhang, S.1
  • 57
    • 34548631824 scopus 로고    scopus 로고
    • New application of Exp-function method for improved Boussinesq equation
    • Abdou M.A., Soliman A.A., and El-Basyony S.T. New application of Exp-function method for improved Boussinesq equation. Phys. Lett. A 369 (2007) 469-475
    • (2007) Phys. Lett. A , vol.369 , pp. 469-475
    • Abdou, M.A.1    Soliman, A.A.2    El-Basyony, S.T.3
  • 58
    • 39749117350 scopus 로고    scopus 로고
    • Generalized solitonary and periodic solutions for nonlinear partial differential equations by the Exp-function method
    • Abdou M.A. Generalized solitonary and periodic solutions for nonlinear partial differential equations by the Exp-function method. Nonlinear Dyn. 52 (2008) 1-9
    • (2008) Nonlinear Dyn. , vol.52 , pp. 1-9
    • Abdou, M.A.1
  • 59
    • 34548246435 scopus 로고    scopus 로고
    • Application of Exp-function method for nonlinear evolution equations with variable coefficients
    • El-Wakil S.A., Madkour M.A., and Abdou M.A. Application of Exp-function method for nonlinear evolution equations with variable coefficients. Phys. Lett. A 369 (2007) 62-69
    • (2007) Phys. Lett. A , vol.369 , pp. 62-69
    • El-Wakil, S.A.1    Madkour, M.A.2    Abdou, M.A.3
  • 60
    • 42749096687 scopus 로고    scopus 로고
    • Application of Exp-function method to Riccati equation and new exact solutions with three arbitrary functions of Broer-Kaup-Kupershmidt equations
    • Zhang S. Application of Exp-function method to Riccati equation and new exact solutions with three arbitrary functions of Broer-Kaup-Kupershmidt equations. Phys. Lett. A 372 (2007) 1873-1880
    • (2007) Phys. Lett. A , vol.372 , pp. 1873-1880
    • Zhang, S.1
  • 61
    • 21444444900 scopus 로고    scopus 로고
    • Hyperbolic function method for solving nonlinear differential-different equations
    • Zhu J.M. Hyperbolic function method for solving nonlinear differential-different equations. Chin. Phys. 14 (2005) 1290-1295
    • (2005) Chin. Phys. , vol.14 , pp. 1290-1295
    • Zhu, J.M.1
  • 62
    • 33947213923 scopus 로고    scopus 로고
    • Symbolic computation and q-deformed function solutions of (2 + 1)-dimensional breaking soliton equation
    • Cao L.N., Wang D.S., and Zhang H.Q. Symbolic computation and q-deformed function solutions of (2 + 1)-dimensional breaking soliton equation. Commun. Theor. Phys. 47 (2007) 270-274
    • (2007) Commun. Theor. Phys. , vol.47 , pp. 270-274
    • Cao, L.N.1    Wang, D.S.2    Zhang, H.Q.3
  • 63
    • 0242302715 scopus 로고    scopus 로고
    • Symbolic computation and new families of exact soliton-like solutions of Konopelchenko-Dubrovsky equations
    • Xia T.C., Lü Z.S., and Zhang H.Q. Symbolic computation and new families of exact soliton-like solutions of Konopelchenko-Dubrovsky equations. Chaos Solitons Fractals 20 (2004) 561-566
    • (2004) Chaos Solitons Fractals , vol.20 , pp. 561-566
    • Xia, T.C.1    Lü, Z.S.2    Zhang, H.Q.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.