GENERALIZED SEPARATION OF VARIABLES AND EXACT SOLUTIONS OF NONLINEAR EQUATIONS

被引：2

作者：

Barannyk, A. F. ^{[1
]}

Barannyk, T. A. ^{[2
]}

Yuryk, I. I. ^{[3
]}

机构：

[1] Pomeranian Acad, Inst Math, Slupsk, Poland

[2] Poltava Natl Pedag Univ, Poltava, Ukraine

[3] Natl Univ Food Technol, Kiev, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2011年 / 62卷 / 12期

关键词：

QUADRATIC NONLINEARITIES;

D O I：

10.1007/s11253-011-0475-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a generalized procedure of separation of variables in nonlinear hyperbolic-type equations and Korteweg-de-Vries-type equations. We construct a broad class of exact solutions of these equations that cannot be obtained by the Lie method and method of conditional symmetries.

引用

页码：1852 / 1865

页数：14

共 9 条

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