Regular and embedded solitons in a generalized Pochammer PDE

    Authors

    T. B. Smith;S. R. Choudhury

    Comments

    Authors: contact us about adding a copy of your work at STARS@ucf.edu

    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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