KADOMSTEV-PETVIASHVILE AND 2-DIMENSIONAL SINE-GORDON EQUATIONS - REDUCTION TO PAINLEVE TRANSCENDENTS

被引：38

作者：

KALIAPPAN, P

LAKSHMANAN, M

机构：

[1] Department of Physics, Autonomous Postgraduate Centre, University of Madras

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1979年 / 12卷 / 10期

关键词：

D O I：

10.1088/0305-4470/12/10/002

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Kadomstev-Petiviashvile and sine-Gordon equations in two spatial dimensions are shown to be reducible to Painleve transcendental equations of the first and third kind respectively in terms of suitable Lie-invariant variables.

引用

页码：L249 / L252

页数：4

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