Bifurcations of traveling wave solutions in a coupled non-linear wave equation

Chaos, Solitons and Fractals

Volumn 17, Issue 5, 2003, Pages 941-950

  Zhang, Lijun ^a   Li, Jibin ^b  

^a ZHEJIANG SCI TECH UNIVERSITY   (China)

^b KUNMING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); MATHEMATICAL TRANSFORMATIONS; THEOREM PROVING; WAVE EQUATIONS;

TRAVELING WAVE SOLUTIONS;

NONLINEAR EQUATIONS;

EID: 0037411770     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(02)00442-3     Document Type: Article

References (10)

1. Chow S.N., Hale J.K. Method of bifurcation theory. 1981;Springer-Verlag, New York.
2. Guo B., Tan S. Global smooth solution for a coupled nonlinear wave equations. Math. Methods Appl. Sci. 14:1991;419-425.
3. Ito M. Symmetrics and conservation laws of a coupled nonlinear wave equation. Phys. Lett. 85A:1982;335-338.
4. Guckenheimer J., Holmes P.J. Nonlinear oscillations, dynamical systems and bifurcations of vector fields. 1983;Springer-Verlag, New york.
5. Kwek K-H, Li J. Bifurcations of smooth and non-smooth traveling wave solutions in a Kupershmidt's equation. Int Bifurcat Chaos, in press.
6. Kupershmidt B.A. A coupled Korteweg-de Vries equation with dispersion. J. Phys. A. 18:1985;L571-573.
7. Li J., Liu Z. Smooth and non-smooth traveling waves in a nonlinearly dispersive equation. Appl. Math. Modell. 25:2000;41-56.
8. Li Y.A., Olver P.J. Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system I: Compactons and peakons. Discret. Contin. Dyn. Syst. 3:1997;419-432.
9. Li Y.A., Olver P.J. Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system II: Complex analytic behaviour and convergence to non-analytic solutions. Discret. Contin. Dyn. Syst. 4:1998;159-191.
10. Perko L. Differential equations and dynamical systems. 1991;Springer-Verlag, New york.