Variable Separation and Derivative-Dependent Functional Separable Solutions to Generalized KdV Equations

Using the generalized conditional symmetry approach, a complete list of canonical forms for the Korteweg de-Vries type equations with which possessing derivative-dependent functional separable solutions (DDFSSs) is obtained. The exact DDFSSs of the resulting equations are explicitly exhibited.

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Bibliographic Details
Published inCommunications in theoretical physics Vol. 40; no. 4; pp. 401 - 406
Main Author ZHANGShun-Li LOUSen-Yue
Format Journal Article
LanguageEnglish
Published 15.10.2003
Subjects
KdV型方程
变量分离
条件对称
进化矢量场
非线性扩散方程
Online AccessGet full text
ISSN0253-6102
DOI10.1088/0253-6102/40/4/401

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Summary:Using the generalized conditional symmetry approach, a complete list of canonical forms for the Korteweg de-Vries type equations with which possessing derivative-dependent functional separable solutions (DDFSSs) is obtained. The exact DDFSSs of the resulting equations are explicitly exhibited.
Bibliography:11-2592/O3
O242
ISSN:0253-6102
DOI:10.1088/0253-6102/40/4/401