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(2+1)维Nizhnik方程组的周期孤波解
引用本文:傅海明,戴正德.(2+1)维Nizhnik方程组的周期孤波解[J].绍兴文理学院学报,2009,29(8).
作者姓名:傅海明  戴正德
作者单位:云南大学,数学与统计学院,云南,昆明650091
基金项目:国家自然科学基金,云南省自然科学基金 
摘    要:运用Hirota法,将Hirota法中的测试函数用新的测试函数来替代,求解(2+1)维Nizhnik方程组,得到了新的周期孤波解和不曾看见过的解析解.

关 键 词:(2+1)维Nizhnik方程组  Hirota方法  周期波解  孤波解

Periodic Soliton-Wave Solutions for (2+1)-dimensional Nizhnik Equations
Fu Haiming,Dai Zhengde.Periodic Soliton-Wave Solutions for (2+1)-dimensional Nizhnik Equations[J].Journal of Shaoxing College of Arts and Sciences,2009,29(8).
Authors:Fu Haiming  Dai Zhengde
Abstract:The Hirota method proposed recently is extended to find more exact solutions of nonlinear evolution equations.To be more precise,a new test function is used instead of the test function in the Hirota method.By using the extended Hirota method,(2+1)-dimensional Nizhnik equations are tackled in an abundance of exact solutions.Obviously,the extended Hirota method can be applied to solve other types of nonlinear evolution equations as well.
Keywords:(2+1)-dimensional Nizhnik equations  Hirota method  periodic wave solution  soliton-wave solution
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