Title

Traveling wave solutions (u, v) to a generalized Drinfel'd-Sokolov system which satisfy u = a(1)v(m) + a(0)

Authors

Authors

E. Sweet;R. A. Van Gorder

Comments

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Abbreviated Journal Title

Appl. Math. Comput.

Keywords

Generalized Drinfel'd-Sokolov equations; Hamiltonian formulation; Numerical solution; Nonlinear PDE; W-ALGEBRAS; DIFFERENTIAL-EQUATIONS; PERIODIC-SOLUTIONS; WILSON EQUATION; REDUCTION; OPERATORS; DEFORMATIONS; Mathematics, Applied

Abstract

An analysis of the coupled generalized Drinfel'd-Sokolov equations u(t) + alpha(1)uu(x) + beta(1)u(xxx) + gamma(v(delta))(x) = 0 and v(t) + alpha(2)uv(x) + beta(2)v(xxx) = 0 is performed in the case of traveling wave solutions u and v satisfying the condition u = a(1)v(m) + a(0). We are able to classify all such solutions in terms of the model parameters, and we then discuss the planar dynamics of such solutions. Numerical solutions are obtained and discussed for a variety of parameter regimes. Such results are one possible generalization of those given by Wu et al. [L. Wu, S. Chen, C. Pang, Traveling wave solutions for generalized Drinfeld-Sokolov equations, Applied Mathematical Modeling 33 (2009) 4126-4130]. (C) 2012 Elsevier Inc. All rights reserved.

Journal Title

Applied Mathematics and Computation

Volume

218

Issue/Number

19

Publication Date

1-1-2012

Document Type

Article

Language

English

First Page

9911

Last Page

9921

WOS Identifier

WOS:000303531500034

ISSN

0096-3003

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