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2014 New Exact Solutions for a Higher-Order Wave Equation of KdV Type Using the Multiple Simplest Equation Method
Yun-Mei Zhao
J. Appl. Math. 2014: 1-13 (2014). DOI: 10.1155/2014/848069

Abstract

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.

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Yun-Mei Zhao. "New Exact Solutions for a Higher-Order Wave Equation of KdV Type Using the Multiple Simplest Equation Method." J. Appl. Math. 2014 1 - 13, 2014. https://doi.org/10.1155/2014/848069

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131918
MathSciNet: MR3230582
Digital Object Identifier: 10.1155/2014/848069

Rights: Copyright © 2014 Hindawi

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