Exact solitary wave solutions of the Kadomtsov-Petviashvili-Benjamin-Bona- Mahony equation

Applied Mathematics and Computation

Volumn 217, Issue 4, 2010, Pages 1334-1339

  Song, Ming ^a   Yang, Chenxi ^a   Zhang, Bengong ^b  

^a YUXI NORMAL UNIVERSITY   (China)

^b SOUTH CHINA UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Bifurcation of phase portraits; Kadomtsov Petviashvili Benjamin Bona Mahony equation; Solitary wave solutions

Indexed keywords

BENJAMIN-BONA-MAHONY EQUATION; BIFURCATION METHODS; NONLINEAR DISPERSIVE; PARAMETER CONDITIONS; PHASE PORTRAIT; SOLITARY WAVE; SOLITARY WAVE SOLUTION;

BIFURCATION (MATHEMATICS); DYNAMICAL SYSTEMS; SOLITONS;

NONLINEAR EQUATIONS;

EID: 77957268477     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2009.05.007     Document Type: Article

References (12)

1. A.M. Wazwaz Exact solutions of compact and noncompact structures for the KP-BBM equation Appl. Math. Comput. 169 1 2005 700 712 (Pubitemid 41491884)
2. A.M. Wazwaz The extended tanh method for new compact and noncompact solutions for the KP-BBM and the ZK-BBM equations Chaos Solitons Fract. 38 5 2008 1505 1516
3. M.A. Abdou Exact periodic wave solutions to some nonlinear evolution equations Int. J. Nonlinear Sci. 6 2 2008 145 153
4. J.B. Li, and Z.R. Liu Smooth and non-smooth traveling waves in a nonlinearly dispersive equation Appl. Math. Model. 25 1 2000 41 56
5. Z.R. Liu, and T.F. Qian Peakons and their bifurcation in a generalized Camassa-Holm equation Int. J. Bifur. Chaos 11 3 2001 781 792 (Pubitemid 33284251)
6. Z.R. Liu, and C.X. Yang The application of bifurcation method to a higher-order KDV equation J. Math. Anal. Appl. 275 1 2002 1 12 (Pubitemid 36046781)
7. W.L. Zhang Solitary wave solutions and kink wave solutions for a generalized PC equation Acta. Math. Appl. Sin., English Series 21 1 2005 125 134 (Pubitemid 40465358)
8. M.Y. Tang, and W.L. Zhang Four types of bounded wave solutions of CH-γ equation Sci. China Ser. A: Math. 50 1 2007 132 152
9. Z.R. Liu, and Z.Y. Ouyang A note on solitary wave for modified forms of Camassa-Holm and Degasperis-Procesi equation Phys. Lett. A 366 4-5 2007 377 381
10. Q.D. Wang, and M.Y. Tang New exact solutions for two nonlinear equations Phys. Lett. A 372 17 2008 2995 3000
11. S.N. Chow, and J.K. Hale Method of Bifurcation Theory 1982 Springer-Verlag New York
12. J. Guckenheimer, and P. Homes Nonlinear Oscillations Dynamical Systems and Bifurcations of Vector Fields 1999 Springer-Verlag New York