Bifurcations of smooth and non-smooth travelling wave solutions of the Degasperis-Procesi equation

International Journal of Nonlinear Sciences and Numerical Simulation

Volumn 5, Issue 4, 2004, Pages 397-402

  Shen, Jianwei ^a,b   Xu, Wei ^a  

^a NORTHWESTERN POLYTECHNICAL UNIVERSITY   (China)

^b XUCHANG UNIVERSITY   (China)

Author keywords

Bifurcation theory; Cusp wave; Degasperis Procesi equation(DPE); Peakon; Periodic wave; Solitary wave

Indexed keywords

EID: 10944241946     PISSN: 15651339     EISSN: None     Source Type: Journal    
DOI: 10.1515/IJNSNS.2004.5.4.397     Document Type: Article

References (8)

1. Byrd, PF and Friedman, MD. Handbook of Elliptic Integrals for Engineers and Scientists, Springer, New York, 1971.
2. Degasoeris, A , Holm, DD and Hone, ANW. A new integrable equation with peakon solution, Theor Math Phys 133 (2002) 1463-1474
3. Guckenheimer, J. and Holmes,PJ. Nonlinear Oscillations, Dynamical Systems and Bifurca-tions of Vector Fields, Springer-Verlag, NewYork, 1983.
4. He, JH. Variational principles for some nonlinear partial differential equations with variable coefficients, Chaos, Solitons and Fractals, 19(4) (2004) 847-851.
5. Li, JB and Liu, ZR. Smooth and non-smooth travelling waves in a nonlinearly dispersive equation, Appl. Math. Modelling, 25(2000)41-56.
6. Li, JB and Shen, JW. Travelling wave solutions in a model of the helix polypeptide chains, Chaos, Solitons and Fractals, 20 (2004) 827-841
7. Shen, JW and Xu, W. Smooth and Non-Smooth traveling waves in a nonlinearly dispersive Bousinesq equation, Chaos, Solitons and Fractals, 2004, to appear.
8. Vakhnenko, VO and Parkes, EJ. Periodic and solitary-wave solutions of the Degasperis-Procesi equation, Chaos, Solitons and Fractals, 20 (2004) 1059-1073.