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中国物理学会期刊

非线性孤子方程的齐次平衡法

CSTR: 32037.14.aps.47.353

THE HOMOGENEOUS BALANCE METHOD FOR SOLVING NONLINEAR SOLITON EQUATIONS

CSTR: 32037.14.aps.47.353
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  • 齐次平衡法是求非线性孤子方程孤波解的一种十分有效的方法.对齐次平衡法的一些关键步骤进行拓广使用,获得了非线性孤子方程一批新的具有更为丰富形式的精确解,孤波解仅是其中的一种特殊情形,使得结果更加完美.

     

    The homogeneous balance method is very effective for finding exact solutions of nonlinear soliton equations.But only soliton-type solutions can be obtained.In this paper we improve some key steps in this method,then by using modified homogeneous balance method we are able to obtain some new families of exact solutions to nonliear soliton equations.Solitary wave solutions are merely a special case of one famility.

     

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