A new type of bounded waves for Degasperis-Procesi equation

Chaos, Solitons and Fractals

Volumn 27, Issue 3, 2006, Pages 698-704

  Chen, Can ^a   Tang, Minying ^b  

^a HONGHE UNIVERSITY   (China)

^b SOUTH CHINA UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; COMPUTER SIMULATION; NUMERICAL ANALYSIS;

BOUNDED DOMAINS; BOUNDED WAVES; INTEGRAL METHODS; PLANAR DIAGRAMS;

INTEGRAL EQUATIONS;

EID: 23144465417     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.04.040     Document Type: Article

References (20)

1. A. Degasperis, and M. Procesi A. Degasperis G. Gaeta Asymptotic integrability symmetry and perturbation theory 1999 World Scientific Singapore 23 37
2. A.V. Mikhailov, and V.S. Novikov Perturbative symmetry approach J Phys A 35 2002 4775 4790
3. A. Degasperis, D.D. Holm, and A.N.W. Hone A new integrate equation with peakon solutions Theor Math Phys 133 2002 1463 1474
4. D.D. Holm, and M.F. Staley Nonlinear balance and exchange of stability in dynamics of solutions, peakons, ramps/cliffs and leftons in a 1 + 1 nonlinear evolutionary PDE Phys Lett A 308 2003 437 444
5. D.D. Holm, and M.F. Staley Wave structure and nonlinear balances in a family of evolutionary PDEs SIAM J Appl Dyn Syst 2 3 2003 323 380
6. H.R. Dullin, G.A. Gottwald, and D.D. Holm Camassa-Holm, Kortewed-de Vries-5 and other asymptotically equivalent equations for shallow water waves Fluid Dyn Res 33 2003 73 95
7. H.R. Dullin, G.A. Gottwald, and D.D. Holm On asymptotically equivalent shallow water wave equations Physics D 190 2004 1 14
8. Z.Y. Yin Global existence for a new periodic integrable equation J Math Anal Appl 283 2003 129 139
9. H. Lundmark, and J. Szmigielski Multi-peakon solutions of the Degasperis-Procesi equation Inverse Prob 19 2003 1241 1245
10. B.L. Guo, and Z.R. Liu Periodic cusp wave solutions and single-solitons for the b-equation Chaos, Solitons & Fractals 23 2005 1451 1463
11. B. Dey Domain wall solutions of KdV like equations with higher order nonlinearity J Phys A: Math Gen 19 1986 L9 L12
12. B. Dey K-dV like equations with domain wall solutions and their hamiltonians, solitons. Springer series on nonlinear dynamics 1988 Springer Berlin-New York p. 188-94
13. Z.R. Liu, and J.B. Li Bifurcations of solitary waves and domain wall waves for KdV like equation with higher order nonlinearity Int J Bifurcat Chaos 12 2 2002 397 407
14. A.S.T. Nguetcho, J.R. Bogning, and D. Yemele Kink compactons in models with parameterized periodic double-well and asymmetric substrate potential Chaos, Solitons & Fractals 21 2004 165 176
15. Z.R. Liu, Q.X. Li, and Q.M. Lin New bounded traveling waves of Camassa-Holm equation Int J Bifurcat Chaos 14 10 2004 3541 3556
16. A. Constantin, and W.A. Strauss Stability of the Camassa-Holm solitons J Nonlinear Sci 12 2002 415 422
17. Z.R. Liu, R.Q. Wang, and Z.J. Jing Peaked wave solutions of Camassa-Holm equation Chaos, Solitons & Fractals 19 2004 77 92
18. M.Y. Tang, and C.X. Yang Extension on peaked wave solutions of CH-γ equation Chaos, Solitons & Fractals 20 2004 815 825
19. R.S. Johnson On solutions of the Camassa-Holm equation Proc R Soc Lond A 459 2003 1687 1708
20. H.R. McKean Fredholm determinants and the Camassa-Holm hierarchy Comm Pure Appl Math 56 2003 638 680