On exact travelling wave solutions for two types of nonlinear K (n, n) equations and a generalized KP equation

Journal of Computational and Applied Mathematics

Volumn 212, Issue 2, 2008, Pages 291-299

  Lai, Shaoyong ^a   Wu, Y H ^b   Wiwatanapataphee, B ^c  

^a SOUTHWESTERN UNIVERSITY OF FINANCE AND ECONOMICS   (China)

^b CURTIN UNIVERSITY   (Australia)

^c MAHIDOL UNIVERSITY   (Thailand)

Author keywords

General formulas; Nonlinear dispersive systems; Physical structures; Positive and negative exponents; Variant of equations

Indexed keywords

DIFFERENTIAL EQUATIONS; NONLINEAR SYSTEMS; VECTORS;

NONLINEAR DISPERSIVE SYSTEMS; PHYSICAL STRUCTURES; POSITIVE AND NEGATIVE EXPONENTS;

NONLINEAR EQUATIONS;

EID: 37249063037     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2006.12.008     Document Type: Article

References (15)

1. Allan F.M., and Al-Khaled K. An approximation of the analytic solution of the shock wave equation. J. Comput. Appl. Math. 192 (2006) 301-309
2. Dag I., Saka B., and Irk D. Galerkin method for the numerical solution of the RLW equation using quintic B-splines. J. Comput. Appl. Math. 190 (2006) 532-547
3. Ismail M.S., and Taha T.R. A numerical study of compactons. Math. Comput. Simulation 47 (1998) 519-530
4. Ludu A., and Draayer J.P. Patterns on liquid surfaces: canoidal waves, compactons and scaling. Physica D 123 (1998) 82-91
5. Olver P.J., and Rosenau P. Tri-Hamiltonian duality between solitons and solitary-wave solutions have compact support. Phys. Rev. E. 53 2 (1996) 1900-1906
6. Rosenau P. Nonlinear dispersion and compact structures. Phys. Rev. Lett. 73 13 (1994) 1737-1741
7. Rosenau P. On nonanalytic solitary waves formed by a nonlinear dispersion. Phys. Lett. A 230 5-6 (1997) 305-318
8. Rosenau P. On a class of nonlinear dispersive-dissipative interactions. Physica D 230 5-6 (1998) 535-546
9. Rosenau P. Compact and noncompact dispersive structures. Phys. Lett. A 275 3 (2000) 193-203
10. Rosenau P., and Hyman J.M. Compactons: solitons with finite wavelength. Phys. Rev. Lett. 70 5 (1993) 564-567
11. Saucez P., Wouwer A.V., Schiesser W.E., and Zegeling P. Method of lines study of nonlinear dispersive waves. J. Comput. Appl. Math. 168 (2004) 413-423
12. Wazwaz A.M. A study of nonlinear dispersive equations with solitary-wave solutions having compact support. Math. Comput. Simulation 56 (2001) 269-276
13. Wazwaz A.M. Compactons dispersive structures for variants of K (n, n) and the KP equations. Chaos, Solitons and Fractals 13 (2002) 1053-1062
14. Wazwaz A.M. Existence and construction of compact solutions. Chaos, Solitons and Fractals 19 3 (2004) 463-470
15. Wazwaz A.M. Variants of the two-dimensional Boussinesq equation with compactons, solitons and periodic solutions. Comput. Math. Appl. 49 (2005) 295-301