New Exact Solutions for a Higher-Order Wave Equation of KdV Type Using the Multiple Simplest Equation Method

In our work, a generalized KdV type equation of neglecting the highest-order infinitesimal term, which is an important water wave model, is discussed by using the simplest equation method and its variants. The solutions obtained are general solutions which are in the form of hyperbolic, trigonometri...

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Bibliographic Details
Published inJournal of Applied Mathematics Vol. 2014; no. 2014; pp. 422 - 434-840
Main Author Zhao, Yun-Mei
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Limiteds 01.01.2014
Hindawi Puplishing Corporation
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Hindawi Limited
Subjects
Differential equations
Exact solutions
Mathematical analysis
Mathematical models
Mathematical programming
Methods
Optimization
Ordinary differential equations
Partial differential equations
Queuing theory
Rational functions
Water waves
Wave equation
Wave equations
United States
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Summary:In our work, a generalized KdV type equation of neglecting the highest-order infinitesimal term, which is an important water wave model, is discussed by using the simplest equation method and its variants. The solutions obtained are general solutions which are in the form of hyperbolic, trigonometric, and rational functions. These methods are more effective and simple than other methods and a number of solutions can be obtained at the same time.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:1110-757X
1687-0042
DOI:10.1155/2014/848069