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

被引:8
|
作者
Zhao, Yun-Mei [1 ]
机构
[1] Honghe Univ, Dept Math, Mengzi 661100, Yunnan, Peoples R China
基金
中国国家自然科学基金;
关键词
SOLITARY WAVES;
D O I
10.1155/2014/848069
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.
引用
收藏
页数:13
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