Non-integrable variants of Boussinesq equation with two solitons

Applied Mathematics and Computation

Volumn 217, Issue 2, 2010, Pages 820-825

  Wazwaz, Abdul Majid ^a  

^a SAINT XAVIER UNIVERSITY   (United States)

Author keywords

Boussinesq equation; Hereman's method; Hirota bilinear method; Two soliton solutions

Indexed keywords

BILINEAR FORM; BOUSSINESQ EQUATIONS; HEREMAN'S METHOD; HIROTA BILINEAR METHODS; N-SOLITON SOLUTIONS; TWO SOLITON SOLUTIONS;

SOLITONS;

EID: 77955663594     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2010.06.022     Document Type: Article

References (18)

1. R.S. Johnson A two-dimensional Boussinesq equation for water waves and some of its solutions J. Fluid Mech. 323 1996 65 78
2. J. Zhang, and X. Lai A class of periodic solutions of the (2 + 1)-dimensional Boussinesq equation J. Phys. Soc. Jpn. 75 2004 2402 2405
3. A.M. Wazwaz Multiple-soliton solutions for the ninth-order KdV equation and sixth-order Boussinesq equation Appl. Math. Comput. 203 2008 277 283
4. A.M. Wazwaz Erratum to: multiple-soliton solutions for the ninth-order KdV equation and sixth-order Boussinesq equation Appl. Math. Comput. 206 2008 1005
5. W. Yong Periodic wave solution to the (3 + 1)-dimensional Boussinesq equation Chin. Phys. Lett. 25 2008 2739 2742
6. R. Hirota The Direct Method in Soliton Theory 2004 Cambridge Universitay Press Cambridge
7. R. Hirota Exact solutions of the Korteweg-de Vries equation for multiple collisions of solitons Phys. Rev. Lett. 27 18 1971 1192 1194
8. R. Hirota Exact solutions of the modified Korteweg-de Vries equation for multiple collisions of solitons J. Phys. Soc. Jpn. 33 5 1972 1456 1458
9. A. Biswas 1-soliton solution of the K (m, n ) equation with generalized evolution Phys. Lett. A 372 2008 4601 4602
10. A. Biswas 1-Soliton solution of the generalized Camassa-Holm l-Petviashvilli equation Commun. Nonlinear Sci. Numer. Simul. 14 2009 2524 2527
11. M. Dehghan, and A. Shokri A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions Comput. Math. Simul. 79 2008 700 715
12. A.M. Wazwaz Partial Differential Equations and Solitary Waves Theory 2009 HEP and Springer Peking and Germany
13. A.M. Wazwaz Partial Differential Equations: Methods and Applications 2002 Balkema Publishers The Netherlands
14. A.M. Wazwaz New solitary-wave special solutions with compact support for the nonlinear dispersive K (m, n ) equations Chaos, Solitons Fractals 13 2 2002 321 330
15. J. Hietarinta A search for bilinear equations passing Hirota's three-soliton condition. I. KdV-type bilinear equations J. Math. Phys. 28 8 1987 1732 1742
16. W. Hereman, and A. Nuseir Symbolic methods to construct exact solutions of nonlinear partial differential equations Math. Comput. Simul. 43 1997 13 27
17. A.M. Wazwaz Multiple-soliton solutions for the KP equation by Hirota's bilinear method and by the tanh-coth method Appl. Math. Comput. 190 2007 633 640
18. A.M. Wazwaz Multiple-front solutions for the Burgers equation and the coupled Burgers equations Appl. Math. Comput. 190 2007 1198 1206