一类非线性发展方程的相似约化  

Similarity Reduction of a Class of Nonlinear Evolution Equations

作　　者：王鑫[1] 丁洁[1] 

机构地区：[1]海南大学信息科学技术学院,海南海口570228

出　　处：《海南大学学报（自然科学版）》2007年第2期128-133,共6页Natural Science Journal of Hainan University

摘　　要：利用3种方法对一类非线性发展方程进行相似约化,使原来的偏微分方程约化为常微分方程,并得出其相似解.由于所得的常微分方程不是Painleve型的,可知这类方程不是可积的.A class of nonlinear evolution equations is reduced by the three kinds of similarity reductions in this paper first, and then the ordinary differential equations and the similarity solutions are obtained. This class of equations is not integrable because the ordinary differential equations are not Painleve type.

关 键 词：相似约化 相似解 无穷小变换 Painleve假设 

分 类 号：O175.29[理学—数学]