The application of bifurcation method to a higher-order KdV equation

Journal of Mathematical Analysis and Applications

Volumn 275, Issue 1, 2002, Pages 1-12

  Liu, Zhengrong ^a   Yang, Chenxi ^b  

^a YUNNAN UNIVERSITY   (China)

^b Dept of Math of Yuxi Normal Coll ^*  (China)

Author keywords

Bifurcation of phase portraits; Explicit solutions; Solitary waves

Indexed keywords

EID: 0036869559     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(02)00210-X     Document Type: Article

References (9)

1. R.M. Miura, The Korteweg-de Vries equation: a survey of results, SIAM Rev. 8 (1976) 412-459.
2. R.K. Dodd, J.C. Eilbeck, J.D. Gibbon, H.C. Morris, Solitons and Nonlinear Wave Equations, Academic Press, London, 1982.
3. J.L. Bona, VA, Dougalis, O.A. Karakashian, W.R. Mckinney, Conservative, high-order numerical schemes for the generalized Korteweg-de Vries equation, Philos. Trans. Roy. Soc. London Ser. A 351 (1995) 107-164.
4. B. Fornberg, G.B. Whitham, A numerical and theoretical study of certain nonlinear wave phenomena, Philos. Trans. Roy. Soc. London Ser. A 289 (1979) 373-404.
5. S.N. Chow, J.K. Hale, Methods of Bifurcation Theory, Springer-Verlag, New York, 1982.
6. J. Guckenheimer, P. Holmes, Dynamical Systems and Bifurcations of Vector Fields, Springer-Verlag, New York, 1983.
7. B. Dey, K-dV like equations with domain wall solutions and their Hamiltonians, in: Solitons, Springer Ser. Nonlinear Dynamics, Springer-Verlag, Berlin, 1988, pp. 188-194.
8. B. Dey, Domain wall solutions of KdV like equations with higher order nonlinearity, J. Phys. A 19 (1986) L9-L12.
9. G.L. Lamb Jr., Elements of Soliton Theory, John Wiley and Sons, New York, 1980.