Title

Regular and embedded solitons in a generalized Pochammer PDE

Authors

Authors

T. B. Smith;S. R. Choudhury

Comments

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Abbreviated Journal Title

Commun. Nonlinear Sci. Numer. Simul.

Keywords

Regular and embedded solitons; Variational methods; Generalized; Pochammer-Chree PDE; Mathematics, Applied; Mathematics, Interdisciplinary Applications; Mechanics; Physics, Fluids & Plasmas; Physics, Mathematical

Abstract

Variational methods are employed to generate families of both regular and embedded solitary wave solutions for a generalized Pochammer PDE that is currently of great interest. The technique for obtaining the embedded solitons incorporates several recent generalizations of the usual variational technique and is thus topical in itself. One unusual feature of the solitary waves derived here is that we are able to obtain them in analytical form (within the family of the trial functions). Thus, a direct error analysis is performed, showing the accuracy of the resulting solitary waves. Given the importance of solitary wave solutions in wave dynamics and information propagation in nonlinear PDEs, is well as the fact that only the parameter regimes for the existence of solitary waves had previously been analyzed for the microstructure PDE considered here. the results obtained here are both new and timely. (C) 2008 Elsevier B.V. All rights reserved.

Journal Title

Communications in Nonlinear Science and Numerical Simulation

Volume

14

Issue/Number

6

Publication Date

1-1-2009

Document Type

Article

Language

English

First Page

2637

Last Page

2641

WOS Identifier

WOS:000263590700018

ISSN

1007-5704

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