THE STRUCTURE, OF THE RATIONAL SOLUTIONS TO THE BOUSSINESQ EQUATION

被引：43

作者：

GALKIN, VM ^{[1
]}

PELINOVSKY, DE ^{[1
]}

STEPANYANTS, YA ^{[1
]}

机构：

[1] RUSSIAN ACAD SCI,INST APPL PHYS,NIZHNII NOVGOROD 603600,RUSSIA

来源：

PHYSICA D | 1995年 / 80卷 / 03期

关键词：

D O I：

10.1016/0167-2789(94)00178-S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Rational solutions of the one-dimensional Boussinesq equation both with zero and nonzero boundary conditions at the infinity are obtained by reducing the known solutions of the Kadomtsev-Petviashvili equation. The structure of the found solutions generalizes a family of rational solutions to the Korteweg-de Vries equation to the case of two-wave processes.

引用

页码：246 / 255

页数：10

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