Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1134.35096
Long, Yao; He, Bin; Rui, Weiguo; Chen, Can
Compacton-like and kink-like waves for a higher-order wave equation of Korteweg-de Vries type. (English)
[J] Int. J. Comput. Math. 83, No. 12, 959-971 (2006). ISSN 0020-7160; ISSN 1029-0265/e

The authors deal with the generalized KdV equation considered by {\it A. S. Fokas} [On a class of physically important integrable equations, Physica D 87, 145--150 (1995)], written as $$v_{t} - \tfrac{3}{2} \beta \rho_{2} v_{xxt} + \beta (1 - \tfrac{3}{2} \rho_{2}) v_{xxx} + \alpha v v_{x} - \tfrac{1}{2} \alpha \beta \rho_{2} (v v_{xxx} + 2 v_{x} v_{xx}) = 0.$$ Implicit compacton-like and kink-like solutions are obtained as travelling waves $v = v(x - c t)$ passing through singular points. Results are tested by numerical integration.
[Michal Marvan (Opava)]

MSC 2000:: *35Q53 KdV-like equations
37K40 Soliton theory, asymptotic behavior of solutions
34C05 Qualitative theory of some special solutions of ODE

Keywords: generalized KdV equation; compacton-like wave; kink-like wave

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]