Travelling wave solutions for a singularly perturbed Burgers-KdV equation

Pramana - Journal of Physics

Volumn 73, Issue 5, 2009, Pages 799-806

  Mansour, M B A ^a  

^a SOUTH VALLEY UNIVERSITY   (Egypt)

Author keywords

Burgers kdv equation; Singular perturbation; Travelling wave solutions

Indexed keywords

BURGERS-KDV EQUATION; DYNAMICAL SYSTEMS APPROACH; EXISTENCE PROBLEMS; GEOMETRIC SINGULAR PERTURBATION THEORY; MANIFOLD THEORY; SINGULAR PERTURBATIONS; SINGULARLY PERTURBED; TRAVELLING WAVE SOLUTION;

COMPUTATIONAL MECHANICS; DYNAMICAL SYSTEMS; WAVE TRANSMISSION;

PERTURBATION TECHNIQUES;

EID: 73349127153     PISSN: 03044289     EISSN: None     Source Type: Journal    
DOI: 10.1007/s12043-009-0148-y     Document Type: Article

References (8)

1. I L Kliakhandler, A V Porubov and M G Velarde, Phys. Rev. E62, 4959 (2000).
2. H Demiray, Appl. Math. Comput. 154, 665 (2004).
3. N Fenichel, J. Diff. Eqn. 31, 53 (1979).
4. C K R T Jones, Geometric singular perturbation theory, in dynamical systems edited by R Johnson (Springer-Verlag, Berlin Heidelberg, 1995).
5. R Ruan and D Xiao, Proc. R. Soc. Edinb. A134, 991 (2004).
6. Y N Ktrychko, M V Bartuccelli and K B Blyuss, J. Comp. Appl. Math. 176, 433 (2005).
7. M B A Mansour, Commun. Math. Sci. 4, 731 (2006).
8. J Guckenheimer and P Holmes, Nonlinear oscillations, dynamical system, and bifur- cation of vector fields (Springer Verlag, New York, 1983).