RATIONAL SOLUTIONS OF THE BOUSSINESQ EQUATION

被引：22

作者：

Clarkson, Peter A. ^{[1
]}

机构：

[1] Univ Kent, Inst Math Stat & Actuarial Sci, Canterbury CT2 7NF, Kent, England

来源：

ANALYSIS AND APPLICATIONS | 2008年 / 6卷 / 04期

关键词：

Rational solutions; Boussinesq equation; Painleve equations;

D O I：

10.1142/S0219530508001250

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Rational solutions of the Boussinesq equation are expressed in terms of special polynomials associated with rational solutions of the second and fourth Painleve equations, which arise as symmetry reductions of the Boussinesq equation. Further generalized rational solutions of the Boussinesq equation, which involve an infinite number of arbitrary constants, are derived. The generalized rational solutions are analogs of such solutions for the Korteweg-de Vries and nonlinear Schrodinger equations.

引用

页码：349 / 369

页数：21

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