Sine-Cosine method for finding the soliton solutions of the generalized fifth-order nonlinear equation

Qasem M. Al-Mdallal; Muhammad I. Syam

doi:10.1016/j.chaos.2006.03.039

Sine-Cosine method for finding the soliton solutions of the generalized fifth-order nonlinear equation

Qasem M. Al-Mdallal, Muhammad I. Syam

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

35 Citations (Scopus)

Abstract

In this paper, we use a modified form of the Sine-Cosine method for obtaining exact soliton solutions of the generalized fifth-order nonlinear evolution equation. Analysis for this method is presented. The present method shows that the solutions involve either sec² or sech² under certain conditions. General forms of those conditions are determined for the first time. Exact solutions for special cases of this problem such as the Sawada-Kotera and Lax equations are determined and found to be compared well with the previous studies.

Original language	English
Pages (from-to)	1610-1617
Number of pages	8
Journal	Chaos, Solitons and Fractals
Volume	33
Issue number	5
DOIs	https://doi.org/10.1016/j.chaos.2006.03.039
Publication status	Published - Aug 2007

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematics(all)
Physics and Astronomy(all)
Applied Mathematics

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10.1016/j.chaos.2006.03.039

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abstract = "In this paper, we use a modified form of the Sine-Cosine method for obtaining exact soliton solutions of the generalized fifth-order nonlinear evolution equation. Analysis for this method is presented. The present method shows that the solutions involve either sec2 or sech2 under certain conditions. General forms of those conditions are determined for the first time. Exact solutions for special cases of this problem such as the Sawada-Kotera and Lax equations are determined and found to be compared well with the previous studies.",

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AB - In this paper, we use a modified form of the Sine-Cosine method for obtaining exact soliton solutions of the generalized fifth-order nonlinear evolution equation. Analysis for this method is presented. The present method shows that the solutions involve either sec2 or sech2 under certain conditions. General forms of those conditions are determined for the first time. Exact solutions for special cases of this problem such as the Sawada-Kotera and Lax equations are determined and found to be compared well with the previous studies.

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Sine-Cosine method for finding the soliton solutions of the generalized fifth-order nonlinear equation

Abstract

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