组合KdV方程的孤立波解与相似解
Solitary Wave and Similarity Solutions of the Combined KdV Equation
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摘要: 本文讨论组合KdV方程孤立波解的一个性质,指出该方程可化为Painlevé方程,并利用相似变量的特殊变换导出一类新的偏微分方程.Abstract: In this paper,we discuss a property of solitary wave solutions of the combined KdV equation.Meantime,we point out that the combined KdV equation can be reduced to the Painleve equation.Furthermore,utilizing special transformations of similarity variables,we derive a kind of new partial differential equations.
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