A construction of compact and noncompact solutions for nonlinear dispersive equations of even order

Applied Mathematics and Computation

Volumn 135, Issue 2-3, 2003, Pages 411-424

  Wazwaz, Abdul Majid ^a  

^a SAINT XAVIER UNIVERSITY   (United States)

Author keywords

Compactons; Cusps; K(n,n) equation; Solitons

Indexed keywords

EID: 0037429574     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00006-1     Document Type: Article

References (21)

1. P.T. Dinda M. Remoissenet Breather compactons in nonlinear Klein–Gordon systems Phys. Rev. E 60 3 1999 6218 6221
2. Y. Kivshar Compactons in discrete lattices Nonlinear Coherent Struct. Phys. Biol. 329 1994 255 258
3. P. Rosenau J.M. Hyman Compactons: solitons with finite wavelengths Phys. Rev. Lett. 70 5 1993 564 567
4. P. Rosenau Nonlinear dispersion and compact structures Phys. Rev. Lett. 73 13 1994 1737 1741
5. P. Rosenau On nonanalytic solitary waves formed by a nonlinear dispersion Phys. Lett. A 230 5/6 1997 305 318
6. P. Rosenau Compact and noncompact dispersive structures Phys. Lett. A 275 3 2000 193 203
7. P.J. Olver P. Rosenau Tri-Hamiltonian duality between solitons and solitary-wave solutions having compact support Phys. Rev. E 53 2 1996 1900 1906
8. S. Dusuel P. Michaux M. Remoissenet From kinks to compactonlike kinks Phys. Rev. E 57 2 1998 2320 2326
9. A. Ludu J.P. Draayer Patterns on liquid surfaces:cnoidal waves, compactons and scaling Physica D 123 1998 82 91
10. M.S. Ismail T. Taha A numerical study of compactons Math. Comput. Simulation 47 1998 519 530
11. A.M. Wazwaz New solitary-wave special solutions with compact support for the nonlinear dispersive K ( m , n ) equations Chaos, Solitons and Fractals 13 2 2001 161 170
12. A.M. Wazwaz Exact specific solutions with solitary patterns for the nonlinear dispersive K ( m , n ) equations Chaos, Solitons and Fractals 13 1 2001 161 170
13. A.M. Wazwaz General compactons solutions for the focusing branch of the nonlinear dispersive K ( n , n ) equations in higher dimensional spaces Appl. Math. and Comput. 133 2002 213 227
14. A.M. Wazwaz General solutions with solitary patterns for the defocusing branch of the nonlinear dispersive K ( n , n ) equations in higher dimensional spaces Appl. Math. and Comput. 133 2002 229 244
15. A.M. Wazwaz A study of nonlinear dispersive equations with solitary-wave solutions having compact support Math. Comput. Simulation 56 2001 269 276
16. A.M. Wazwaz, The effect of the order of nonlinear dispersive equation on the compact and noncompact solutions, Appl. Math. Comput., to appear
17. A.M. Wazwaz A computational approach to soliton solutions of the Kadomtsev–Petviashili equation Appl. Math. Comput. 123 2 2001 205 217
18. A.M. Wazwaz Construction of soliton solutions and periodic solutions of the Boussinesq equation by the modified decomposition method Chaos, Solitons and Fractals 12 8 2001 1549 1556
19. A.M. Wazwaz A First Course in Integral Equations 1997 World Scientific Singapore
20. G. Adomian Solving Frontier Problems of Physics: The Decomposition Method 1994 Kluwer Academic Publishers Boston, MA
21. G. Adomian A review of the decomposition method in applied mathematics J. Math. Anal. Appl. 135 1998 501 544