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New sets of solitary wave solutions to the KdV, mKdV, and the generalized KdV equations

✍ Scribed by Abdul-Majid Wazwaz

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 145 KB
Volume: 13
Category: Article
ISSN: 1007-5704
DOI: 10.1016/j.cnsns.2006.03.013

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✦ Synopsis

In this work we introduce new schemes, each combines two hyperbolic functions, to study the KdV, mKdV, and the generalized KdV equations. It is shown that this class of equations gives conventional solitons and periodic solutions. We also show that the proposed schemes develop sets of entirely new solitary wave solutions in addition to the traditional solutions. The analysis can be used to a wide class of nonlinear evolutions equations.

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