Travelling And Periodic Wave Solutions Of Some Nonlinear Wave Equations-Reference-Cited by-同舟云学术

Travelling And Periodic Wave Solutions Of Some Nonlinear Wave Equations

Published:2004-08-01 Issue:7-8 Volume:59 Page:389-396
ISSN:1865-7109
Container-title:Zeitschrift für Naturforschung A
language:en
Short-container-title:

Author:

Khater A. H.¹,Hassan M. M.²

Affiliation:

1. Mathematics Department, Faculty of Science, Cairo University, Beni-Suef, Egypt

2. Mathematics Department, Faculty of Science, Cairo University, Beni-Suef, Egypt a Mathematics Department, Faculty of Science, Minia University, El-Minia, Egypt

Abstract

We present the mixed dn-sn method for finding periodic wave solutions of some nonlinear wave equations. Introducing an appropriate transformation, we extend this method to a special type of nonlinear equations and construct their solutions, which are not expressible as polynomials in the Jacobi elliptic functions. The obtained solutions include the well known kink-type and bell-type solutions as a limiting cases. Also, some new travelling wave solutions are found. - PACS: 02.30.Jr; 03.40.Kf

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/zna-2004-7-801/pdf

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