The homogeneous balance method and its application to the Benjamin-Bona-Mahoney (BBM) equation

Applied Mathematics and Computation

Volumn 217, Issue 4, 2010, Pages 1385-1390

  Abdel Rady, A S ^a   Osman, E S ^a   Khalfallah, Mohammed ^a  

^a SOUTH VALLEY UNIVERSITY   (Egypt)

Author keywords

Benjamin Bona Mahoney equation; Homogeneous balance method; Riccati equation; Soliton solutions; Traveling wave solutions

Indexed keywords

BENJAMIN-BONA-MAHONEY EQUATION; EXACT TRAVELING WAVES; HOMOGENEOUS BALANCE METHOD; NONLINEAR EVOLUTION EQUATION; PERIODIC-LIKE SOLUTION; SOLITON SOLUTIONS; SYMBOLIC COMPUTATION; TRAVELING WAVE SOLUTION;

RICCATI EQUATIONS; SOLITONS;

NONLINEAR EQUATIONS;

EID: 77957267867     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2009.05.027     Document Type: Article

References (18)

1. E.G. Fan, and H.Q. Zhang New exact solutions to a system of coupled KdV equations Phys. Lett. A 245 1998 389 392 (Pubitemid 128398883)
2. Anjan Biswas, and Swapan Konar Soliton perturbation theory for the generalized Benjamin-Bona-Mahoney equation Commun. Nonlinear Sci. Numer. Simul. 13 2008 703 706 (Pubitemid 47629877)
3. Mariana Antonova, and Anjan Biswas Adiabatic parameter dynamics of perturbed solitary waves Commun. Nonlinear Sci. Numer. Simul. 14 2009 734 748
4. E.G. Fan, and H.Q. Zhang A note on the homogeneous balance method Phys. Lett. A 246 1998 403 406
5. E.G. Fan Auto-Bäcklund transformation and similarity reductions for general variable coefficient KdV equations Phys. Lett. A 294 2002 26 30
6. M.L. Wang, and Y.M. Wang A new Bäcklund transformation and multi-soliton solutions to the KdV equation with general variable coefficients Phys. Lett. A 287 2001 211 216
7. M.L. Wang Solitary wave solution for variant Boussinesq equations Phys. Lett. A 199 1995 169 172
8. M.L. Wang Application of homogeneous balance method to exact solutions of nonlinear equation in mathematical physics Phys. Lett. A 216 1996 67 75
9. M.L. Wang, Y.B. Zhou, and Z.B. Li Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics Phys. Lett. A 216 1996 67 75
10. Mohammed Khalfallah New exact traveling wave solutions of the (3 + 1) dimensional Kadomtsev-Petviashvili (KP) equation Commun. Nonlinear Sci. Numer. Simul. 14 2009 1169 1175
11. Mohammed Khalfallah Exact traveling wave solutions of the Boussinesq-Burgers equation Math. Comput. Model. 49 2009 666 671
12. A.S. Abdel Rady, A.H. Khater, E.S. Osman, and Mohammed Khalfallah New periodic wave and soliton solutions for system of coupled Korteweg-de Vries equations Appl. Math. Comput. 207 2009 406 414
13. E.G. Fan Two new applications of the homogeneous balance method Phys. Lett. A 265 2000 353 357
14. Houde Han, and Zhenli Xu Numerical solitons of generalized Korteweg-de Vries equations Appl. Math. Comput. 186 2007 483 489 (Pubitemid 46435631)
15. X.Q. Zhao, and D.B. Tang A new note on a homogeneous balance method Phys. Lett. A 297 2002 59 67
16. Shun-dong Zhu The generalizing Riccati equation mapping method in non-linear evolution equation: application to (2 + 1)-dimensional BoitiLeonPempinelle equation Chaos Soliton & Fractals 37 2008 1335 1342
17. E.G. Fan Soliton solutions for a generalized Hirota Satsuma coupled KdV equation and a coupled MKdV equation Phys. Lett. A 282 2001 18 22 (Pubitemid 32298138)
18. C.L. Bai, and H. Zhuo Generalized extended tanh-function method and its application Chaos Soliton & Fractals 27 2006 1026 1035 (Pubitemid 41252931)