The bifurcation and peakon for Degasperis-Procesi equation

Chaos, Solitons and Fractals

Volumn 30, Issue 4, 2006, Pages 956-966

  Yu, Liqin ^a   Tian, Lixin ^a   Wang, Xuedi ^a  

^a JIANGSU UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); DISPERSION (WAVES); GRAVITATIONAL EFFECTS; LINEAR EQUATIONS; WAVEFORM ANALYSIS;

DEGASPERIS-PROCESI EQUATION; PHASE PORTRAIT BIFURCATION; PLANAR DYNAMICAL SYSTEM; SOLITARY WAVE SOLUTION;

CONVERGENCE OF NUMERICAL METHODS;

EID: 33745206499     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.08.152     Document Type: Article

References (17)

1. Degasperis A., and Procesi M. Asymptotic integrability. In: Degasperis A., and Gaeta G. (Eds). Symmetry and perturbation theory (1999), World Scientific, Singapore 23-37
2. Cammassa R., and Holm D.D. An integrable shallow water equation with peaked solitons. Phys Rev Lett 71 11 (1993) 1661-1664
3. Degasperis A., Holm D.D., and Holm A.N.W. A new integrable equation with peakon solitons. Theor Math Phys 133 (2002) 1461-1472
4. Degasperis A, Holm DD, Holm ANW. Integrable and non-integrable equation with peakons. Nonlinear physics: theory and experiment, Gallllipoli, 2002, vol. 11, pp. 37-43.
5. Hone A.N.W., and Wang J.P. Prolongation algebras and Hamiltonian operators for peakon equations. Inverse Probl 19 (2003) 129-145
6. Lundmark H., and Szmigielski J. Multi-peakon solutions of the Degasperis-Procesi equation. Inverse Probl 19 (2003) 1241-1245
7. Zhou Y. Blow-up phenomenon for the integrable Degasperis-Procesi equation. Phys Lett A 328 (2004) 157-162
8. Yin Z.Y. Global existence for a new periodic integrable equation. J Math Anal Appl 283 (2003) 129-139
9. Yin Z.Y. Global weak solutions for a new periodic integrable equation with peakon solutions. J Funct Anal 212 (2004) 182-194
10. Tsuchida T., Ujino H., and Wadati M. Integrable semi-discretization of the coupled nonlinear Schrödinger equations. J Phys A: Math Gen 32 (1999) 2239-2262
11. Tian L.X., Xu G., and Liu Z.R. The concave or convex peaked and smooth solutions of Camassa-Holm equation. Appl Math Mech 23 5 (2002) 557-567
12. Vakhnenko V.O., and Parkes E.J. Periodic and solitary-wave solutions of the Degasperis-Procesi equation. Chaos, Solutions & Fractals 20 (2004) 1059-1073
13. Guo B.L., and Liu Z.R. Periodic cusp wave solutions and is single-solutions for b-equation. Chaos, Solitons & Fractals 23 (2005) 1451-1463
14. Qian T.F., and Tang M.Y. Peakons and periodic cusp waves in a generalized Camassa-Holm equation. Chaos, Solitons & Fractals 112 (2000) 1347-1360
15. Liu Z.R., and Wang R. Peaked wave solutions of Camassa-Holm equation. Chaos, Solitons & Fractals 19 (2004) 77-92
16. Tang M.Y., and Yang C.X. Extension on peaked wave solutions of CH-γ equation. Chaos, Solitons & Fractals 20 (2004) 815-825
17. Guo B.L., and Liu Z.R. Peaked wave solutions of CH-r equation. Sci China Ser A 46 5 (2003) 696-709