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Volumn 40, Issue 2, 2009, Pages 893-901

The bifurcation and peakon for K(2, 2) equation with osmosis dispersion

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); DYNAMICAL SYSTEMS; OSMOSIS; SOLITONS;

EID: 64949118546     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2007.08.042     Document Type: Article
Times cited : (16)

References (35)
  • 1
    • 12044253199 scopus 로고
    • Compactons: solutions with finite wavelengths
    • Rosenau P., and Hyman J.M. Compactons: solutions with finite wavelengths. Phys Rev Lett 70 5 (1993) 564-567
    • (1993) Phys Rev Lett , vol.70 , Issue.5 , pp. 564-567
    • Rosenau, P.1    Hyman, J.M.2
  • 2
    • 12044249264 scopus 로고
    • Nonlinear dispersion and compact structures
    • Rosenau P. Nonlinear dispersion and compact structures. Phys Rev Lett 73 13 (1994) 1737
    • (1994) Phys Rev Lett , vol.73 , Issue.13 , pp. 1737
    • Rosenau, P.1
  • 3
    • 0041439271 scopus 로고    scopus 로고
    • On nonanalytic solitary waves formed by a nonlinear dispersion
    • Rosenau P. On nonanalytic solitary waves formed by a nonlinear dispersion. Phys Lett A 230 5/6 (1997) 305-318
    • (1997) Phys Lett A , vol.230 , Issue.5-6 , pp. 305-318
    • Rosenau, P.1
  • 4
    • 11544262885 scopus 로고    scopus 로고
    • On a class of nonlinear dispersive-dissipative interactions
    • Rosenau P. On a class of nonlinear dispersive-dissipative interactions. Physica D 123 1/4 (1998) 525-546
    • (1998) Physica D , vol.123 , Issue.1-4 , pp. 525-546
    • Rosenau, P.1
  • 5
    • 0001248624 scopus 로고    scopus 로고
    • Painleve integrability of two sets of nonlinear evolution equations with nonlinear dispersions
    • Lou S.-y., and Wu Q.-X. Painleve integrability of two sets of nonlinear evolution equations with nonlinear dispersions. Phys Lett A 262 (1999) 344-349
    • (1999) Phys Lett A , vol.262 , pp. 344-349
    • Lou, S.-y.1    Wu, Q.-X.2
  • 8
    • 0001507517 scopus 로고    scopus 로고
    • Stability of compacton solutions
    • Dey B., and khare A. Stability of compacton solutions. Phys Rev E 58 (1998) 3
    • (1998) Phys Rev E , vol.58 , pp. 3
    • Dey, B.1    khare, A.2
  • 9
    • 0034604309 scopus 로고    scopus 로고
    • Stability of compacton solutions of fifth-order nonlinear dispersive equations
    • Dey B., and Khare A. Stability of compacton solutions of fifth-order nonlinear dispersive equations. J Phys A 33 (2000) 5335-5344
    • (2000) J Phys A , vol.33 , pp. 5335-5344
    • Dey, B.1    Khare, A.2
  • 10
    • 0000563313 scopus 로고    scopus 로고
    • A numerical study of compactons
    • Ismail Ms., and Taha T. A numerical study of compactons. Math Comput Simul 47 (1998) 519-530
    • (1998) Math Comput Simul , vol.47 , pp. 519-530
    • Ismail, Ms.1    Taha, T.2
  • 11
    • 0003287569 scopus 로고    scopus 로고
    • A finite difference method of Kortweg-de Vries like equation with nonlinear dispersion
    • Ismail Ms. A finite difference method of Kortweg-de Vries like equation with nonlinear dispersion. Int J Comput Math (2001)
    • (2001) Int J Comput Math
    • Ismail, Ms.1
  • 12
    • 4243559322 scopus 로고    scopus 로고
    • Breather compactons in nonlinear Kleih-Gordon systems
    • Dinda P., and Remoissenet M. Breather compactons in nonlinear Kleih-Gordon systems. Phys Rev E 60 5 (1999) 6218-6221
    • (1999) Phys Rev E , vol.60 , Issue.5 , pp. 6218-6221
    • Dinda, P.1    Remoissenet, M.2
  • 13
    • 0347230491 scopus 로고
    • A finite difference scheme for the K(2, 2) compacton equation
    • Frutos J.De., Lopez-Marcos M.A., and Sanzserna J.M. A finite difference scheme for the K(2, 2) compacton equation. J Comput Phys 120 (1995) 248-252
    • (1995) J Comput Phys , vol.120 , pp. 248-252
    • Frutos, J.De.1    Lopez-Marcos, M.A.2    Sanzserna, J.M.3
  • 14
    • 0001651583 scopus 로고    scopus 로고
    • Compacton solution for a class of two parameter generalized odd-order Korteweg-de Vries equations
    • Dey B. Compacton solution for a class of two parameter generalized odd-order Korteweg-de Vries equations. Phys Rev E 57 (1998) 4
    • (1998) Phys Rev E , vol.57 , pp. 4
    • Dey, B.1
  • 15
    • 3142681789 scopus 로고    scopus 로고
    • Stability of multi-compacton solutions and Backlund transformation in K(m, n, 1)
    • Tian L., and Yin J. Stability of multi-compacton solutions and Backlund transformation in K(m, n, 1). Chaos, Solitons & Fractals Appl. 23 (2005) 159
    • (2005) Chaos, Solitons & Fractals , vol.Appl. 23 , pp. 159
    • Tian, L.1    Yin, J.2
  • 16
    • 0036526003 scopus 로고    scopus 로고
    • Compactons dispersive structures for variants of the K(n, n) and the KP equations
    • Wazwaz A.M. Compactons dispersive structures for variants of the K(n, n) and the KP equations. Chaos, Solitons & Fractals 13 (2002) 1052-1062
    • (2002) Chaos, Solitons & Fractals , vol.13 , pp. 1052-1062
    • Wazwaz, A.M.1
  • 17
    • 0037114102 scopus 로고    scopus 로고
    • General compactons solutions for the focusing branch of the nonlinear dispersive K(n, n) equations in higher-dimensional spaces
    • Wazwaz A.M. General compactons solutions for the focusing branch of the nonlinear dispersive K(n, n) equations in higher-dimensional spaces. Appl Math Comput 133 (2002) 213-227
    • (2002) Appl Math Comput , vol.133 , pp. 213-227
    • Wazwaz, A.M.1
  • 18
    • 0037114104 scopus 로고    scopus 로고
    • General solutions with solitary patterns for the defocussing branch of the nonlinear dispersive K(n, n) equations in higher-dimensional spaces
    • Wazwaz A.M. General solutions with solitary patterns for the defocussing branch of the nonlinear dispersive K(n, n) equations in higher-dimensional spaces. Appl Math Comput 133 (2002) 229-244
    • (2002) Appl Math Comput , vol.133 , pp. 229-244
    • Wazwaz, A.M.1
  • 19
    • 14544295270 scopus 로고    scopus 로고
    • A reliable treatment of the physical structure for the nonlinear equation K(m, n)
    • Wazwaz A.M. A reliable treatment of the physical structure for the nonlinear equation K(m, n). Appl Math Comput 163 (2005) 1081-1095
    • (2005) Appl Math Comput , vol.163 , pp. 1081-1095
    • Wazwaz, A.M.1
  • 20
    • 32144462461 scopus 로고    scopus 로고
    • Explicit traveling wave solutions of variants of the K(n, n) and the ZK(n, n) equations with compact and noncompact structures
    • Wazwaz A.M. Explicit traveling wave solutions of variants of the K(n, n) and the ZK(n, n) equations with compact and noncompact structures. Appl Math Comput 173 (2006) 213-230
    • (2006) Appl Math Comput , vol.173 , pp. 213-230
    • Wazwaz, A.M.1
  • 21
    • 0036028182 scopus 로고    scopus 로고
    • Exact special solutions with solitary patterns for the nonlinear dispersive K(m, n) equations
    • Wazwaz A.M. Exact special solutions with solitary patterns for the nonlinear dispersive K(m, n) equations. Chaos, Solitons & Fractals 13 (2002) 161-170
    • (2002) Chaos, Solitons & Fractals , vol.13 , pp. 161-170
    • Wazwaz, A.M.1
  • 22
    • 0036462771 scopus 로고    scopus 로고
    • New solitary wave special solutions with compact support the nonlinear dispersive K(m, n) equations
    • Wazwaz A.M. New solitary wave special solutions with compact support the nonlinear dispersive K(m, n) equations. Chaos, Solitons & Fractals 13 (2002) 321-330
    • (2002) Chaos, Solitons & Fractals , vol.13 , pp. 321-330
    • Wazwaz, A.M.1
  • 23
    • 37349132061 scopus 로고    scopus 로고
    • Backlund transformation and N-soliton-like solutions to the combined KdV-Burgers equation with variable coefficients
    • Lu D., Hong B., and Tian L. Backlund transformation and N-soliton-like solutions to the combined KdV-Burgers equation with variable coefficients. Int J Nonlinear Sci 2 2 (2006) 3-10
    • (2006) Int J Nonlinear Sci , vol.2 , Issue.2 , pp. 3-10
    • Lu, D.1    Hong, B.2    Tian, L.3
  • 24
    • 64949091423 scopus 로고    scopus 로고
    • On Adomian decomposition method for solving reaction diffusion equation
    • Afrouzi G.A., and Khademloo S. On Adomian decomposition method for solving reaction diffusion equation. Int J Nonlinear Sci 2 1 (2006) 11-15
    • (2006) Int J Nonlinear Sci , vol.2 , Issue.1 , pp. 11-15
    • Afrouzi, G.A.1    Khademloo, S.2
  • 25
    • 0033582894 scopus 로고    scopus 로고
    • Integrable semi-discretization of the coupled nonlinear Schrödinger equations
    • Tsuchida T., Ujino H., and Wadati M. Integrable semi-discretization of the coupled nonlinear Schrödinger equations. J Phys A: Math Gen 32 (1999) 2239-2262
    • (1999) J Phys A: Math Gen , vol.32 , pp. 2239-2262
    • Tsuchida, T.1    Ujino, H.2    Wadati, M.3
  • 26
    • 0036586725 scopus 로고    scopus 로고
    • The concave or convex peaked and smooth solutions of Camassa-Holm equation
    • Tian L., Xu G., and Liu Z.R. The concave or convex peaked and smooth solutions of Camassa-Holm equation. Appl Math Mech 23 5 (2002) 557-567
    • (2002) Appl Math Mech , vol.23 , Issue.5 , pp. 557-567
    • Tian, L.1    Xu, G.2    Liu, Z.R.3
  • 27
    • 6344291633 scopus 로고    scopus 로고
    • Periodic cusp wave solutions and is single-solutions for b-equation
    • Guo B., and Liu Z.R. Periodic cusp wave solutions and is single-solutions for b-equation. Chaos, Solitons & Fractals 23 (2005) 1451-1463
    • (2005) Chaos, Solitons & Fractals , vol.23 , pp. 1451-1463
    • Guo, B.1    Liu, Z.R.2
  • 28
    • 0034825095 scopus 로고    scopus 로고
    • Peakons and periodic cusp waves in a generalized Camassa-Holm equation
    • Qian T.F., and Tang M.Y. Peakons and periodic cusp waves in a generalized Camassa-Holm equation. Chaos, Solitons & Fractals 112 (2000) 1347-1360
    • (2000) Chaos, Solitons & Fractals , vol.112 , pp. 1347-1360
    • Qian, T.F.1    Tang, M.Y.2
  • 29
    • 0038111998 scopus 로고    scopus 로고
    • Peaked wave solutions of Camassa-Holm equation
    • Liu Z.R., and Wang R. Peaked wave solutions of Camassa-Holm equation. Chaos, Solitons & Fractals 19 (2004) 77-92
    • (2004) Chaos, Solitons & Fractals , vol.19 , pp. 77-92
    • Liu, Z.R.1    Wang, R.2
  • 30
    • 6344239874 scopus 로고    scopus 로고
    • Peaked wave solutions of CH-r equation
    • Guo B.L., and Liu Z.R. Peaked wave solutions of CH-r equation. Sci China Ser A 46 5 (2003) 696-709
    • (2003) Sci China Ser A , vol.46 , Issue.5 , pp. 696-709
    • Guo, B.L.1    Liu, Z.R.2
  • 31
    • 33745206499 scopus 로고    scopus 로고
    • The bifurcation and peakon for Degasperis-Procesi equation
    • Yu L., Tian L., and Wang X. The bifurcation and peakon for Degasperis-Procesi equation. Chaos, Solitons & Fractals 30 (2006) 956-966
    • (2006) Chaos, Solitons & Fractals , vol.30 , pp. 956-966
    • Yu, L.1    Tian, L.2    Wang, X.3
  • 32
    • 64949120872 scopus 로고    scopus 로고
    • Peaked wave solutions of Degasperis-Procesi equation
    • Yu L., and Tian L. Peaked wave solutions of Degasperis-Procesi equation. Math Practice Theory 36 (2006) 261-266
    • (2006) Math Practice Theory , vol.36 , pp. 261-266
    • Yu, L.1    Tian, L.2
  • 33
    • 36749000878 scopus 로고    scopus 로고
    • On the well-posedness problem for the generalized Degasperis-Procesi equation
    • Tian L., and Li X. On the well-posedness problem for the generalized Degasperis-Procesi equation. Int J Nonlinear Sci 2 2 (2006) 67-76
    • (2006) Int J Nonlinear Sci , vol.2 , Issue.2 , pp. 67-76
    • Tian, L.1    Li, X.2
  • 34
    • 21344447273 scopus 로고    scopus 로고
    • On the well-posedness problem and the scattering problem for DGH equation
    • Tian L., Gui G., and Liu Y. On the well-posedness problem and the scattering problem for DGH equation. Comm Math Phys 257 3 (2005) 667-701
    • (2005) Comm Math Phys , vol.257 , Issue.3 , pp. 667-701
    • Tian, L.1    Gui, G.2    Liu, Y.3
  • 35
    • 33749425690 scopus 로고    scopus 로고
    • The study on solution of Camassa-Holm equation with weak dissipation
    • Ding D., and Tian L. The study on solution of Camassa-Holm equation with weak dissipation. Commun Pure Apply Anal 5 3 (2006) 483-493
    • (2006) Commun Pure Apply Anal , vol.5 , Issue.3 , pp. 483-493
    • Ding, D.1    Tian, L.2


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