推广的Painlevé展开及KdV方程的非标准截断解  

EXTENTED PAINLEV EXPANSION AND NONSTANDARD TRUNCATION SOLUTIONS OF THE KdV EQUATION 

作　　者：楼森岳[1] 

机构地区：[1]宁波大学数学物理研究所

出　　处：《物理学报》1998年第12期1937-1945,共9页Acta Physica Sinica

基　　金：国家自然科学基金;浙江省自然科学基金

摘　　要：利用奇性流形的任意性，选用不同的展开函数及非标准截断展开于ＫｄＶ方程。Abstract ? In this paper,by means of the arbitrariness of the singularity,we have established a new approach of the Painlevé analysis developed by Weiss,Tabor and Carnevale,which is one of the powerful method to study the nonlinear partial differential equations.Selecting some different expansion functions and nonstandard truncations for the KdV equation,we obtained many exact solutions expressed by some complicated implicit functions.

关 键 词：KDV方程 截断解 奇性流形 

分 类 号：O353.1[理学—流体力学]