A SYMMETRY APPROACH TO EXACTLY SOLVABLE EVOLUTION-EQUATIONS

被引：181

作者：

FOKAS, AS

机构：

[1] Department of Applied Mathematics, California Institute of Technology, Pasadena

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1980年 / 21卷 / 06期

关键词：

D O I：

10.1063/1.524581

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A method is developed for establishing the exact solvability of nonlinear evolution equations in one space dimension which are linear with constant coefficient in the highest-order derivative. The method, based on the symmetry structure of the equations, is applied to second-order equations and then to third-order equations which do not contain a second-order derivative. In those cases the most general exactly solvable nonlinear equations turn out to be the Burgers equation and a new third-order evolution equation which contains the Korteweg-de Vries (KdV) equation and the modified KdV equation as particular cases. © 1980 American Institute of Physics.

引用

页码：1318 / 1325

页数：8

共 27 条

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