Solitary waves and their bifurcations of KdV like equation with higher order nonlinearity

Science in China, Series A: Mathematics, Physics, Astronomy

Volumn 45, Issue 10, 2002, Pages 1255-1267

  Tang, Minying ^a   Wang, Ruiqi ^b   Jing, Zhujun ^c,d  

^a YUNNAN UNIVERSITY   (China)

^b INSTITUTE OF APPLIED MATHEMATICS   (China)

^c HUNAN NORMAL UNIVERSITY   (China)

^d INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

Author keywords

Bifurcation; Explicit solutions; Solitary waves

Indexed keywords

EID: 0041917213     PISSN: 10069283     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. Dey, B., K-dV like equations with domain wall solutions and their Hamiltonians, Solitons, Springer Ser. Nonlinear Dynamics, Berlin-New York: Springer, 1988, 188-194.
2. Dey, B., Domain wall solutions of KdV like equations with higher order nonlinearity, J. Phys. A: Math. Gen., 1986, 19: L9-L12.
3. Miura, R. M., The korteweg-de vries equation: a survey of results, SIAM. Rve., 1976, 8: 412-459.
4. Dodd, R. K., Eilbeck, J. C., Gibbon, J. D. et al., Solitons and Nonlinear Wave Equations, London: Academic Press Inc., 1982.
5. Fornberg, B., Whitham, G. B., A numerical and theoretical study of certain nonlinear wave phenomena, Phil. Trans. R. Soc. Lond., 1978, 289: 373-404.
6. Chow, S. N., Hale, J. K., Methods of Bifurcation Theory, New York: Springer-Verlag, 1982.
7. Guckenheimer, J., Holmes, P., Dynamical Systems and Bifurcations of Vector Fields, New York: Springer-Verlag, 1983.
8. Qian Tifei, Tang Minying, Peakons and periodic cusp waves in a generalized Camassa-Holm equation, Choas, Solitons and Fractals, 2001, 12: 1347-1360.