New exact solutions for modified nonlinear dispersive equations mK(m,n) in higher dimensions spaces

Mathematics and Computers in Simulation

Volumn 64, Issue 5, 2004, Pages 549-559

  Chen, Yong ^a,b   Li, Biao ^a,b   Zhang, Hongqing ^a,b  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

^b INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

Author keywords

mK(m,n) equations; Symbolic computation; Travelling wave solution

Indexed keywords

ALGEBRA; CODES (SYMBOLS); COMPUTATIONAL METHODS; COMPUTER SIMULATION; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS;

MK(M,N) EQUATIONS; SYMBOLIC COMPUTATION; TRAVELING WAVE EQUATION;

NONLINEAR EQUATIONS;

EID: 1242298456     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matcom.2003.10.005     Document Type: Article

References (22)

1. M.J. Ablowitz, P.A. Clarkson. Soliton, Nonlinear Evolution Equations and Inverse Scattering, Cambridge University Press, New York, 1991.
2. C.H. Gu, et al., Soliton Theory and its Application, Zhejiang Science and Technology Press, Zhejiang, 1990.
3. Rosenau P., Hyman J.M., Compactons: solitons with finite wavelengths. Phys. Rev. Lett. 70(5):1993;564-567.
4. Olver P.J., Rosenau P., Tri-Hamiltonian duality between solitons and solitary-wave solutions having compact support. Phys. Rev. E. 53(2):1996;1900-1906.
5. Rosenau P., Nonlinear dispersion and compact structures. Phys. Rev. Lett. 73(13):1994;1737-1741.
6. Rosenau P., On nonanalytic solitary waves formed by a nonlinear dispersion. Phys. Lett. A. 230(5-6):1997;305-318.
7. Rosenau P., On a class of nonlinear dispersive-dissipative interactions. Physica D. 230(5-6):1998;535-546.
8. Ismail M.S., Taha T., A numerical study of compacts. Math. Comput. Simulation. 47:1998;519-530.
9. Ludu A., Draayer J.P., Patterns on liquid surfaces: cnoidal waves, compactons and scaling. Physca D. 123:1998;82-91.
10. Dinda P.T., Remoissenet M., Breather compactons in nonlinear Klein-Gordon systems. Phys. Rev. E. 60(5):1999;6218-6221.
11. Wazwaz A.M., New solitary-wave special solutions with compact support for the nonlinear dispersive. K(m,n) equations Chaos Solitons Fractals. 13(2):2002;321-330.
12. Wazwaz A.M., Exact special solutions with solitary patterns for the nonlinear dispersive. K(m,n) equatons Chaos Solitons Fractals. 13(1):2001;161-170.
13. Wazwaz A.M., Compactons dispersive structures for variants of the. K(n,n) and the KP equations Chaos Solitons Fractals. 13(5):2002;1053-1062.
14. Wazwaz A.M., A study of nonlinear dispersive equations with solitary-wave solutions having compact support. Math. Comput. Simulation. 56:2001;269-276.
15. Wazwaz A.M., General compactons solutions and solitary patterns solutions for modified nonlinear dispersive equations. mK(n,n) in higher dimensional spaces Math. Comput. Simulation. 59:2002;519-531.
16. Wazwaz A.M., A computational approach to soliton solutions of the Kadomtsev-Petviashili equation. Appl. Math. Comput. 123(2):2001;205-217.
17. Fan E.G., Zhang H.Q., New exact solutions for a system of coupled Kdv equation. Phys. Lett. A. 245:1998;389-392.
18. Fan E.G., Zhang H.Q., A note on the homogeneous balance method. Phys. Lett. A. 246:1998;403-406.
19. Fan E., Extended tanh-function method and its applications to nonlinear equations. Phys. Lett. A. 212:2000;277.
20. Fan E., Travelling wave solutions for two generalized Hirota-Satsuma coupled KdV systems. Z. Naturforsch. A. 56:2001;312-318.
21. Fan E., Zhang J., Hon B.Y.C., A new complex line soliton for the two-dimensional KdV-Burgers equations. Phys. Lett. A. 291:2001;376-380.
22. Yan Z.Y., New explicit travelling wave solutions for two new intgrable coupled nonlinear evolution equations. Phys. Lett. A. 292:2001;100-106.