Nonlinear evolution equations admitting multilinear variable separable solutions

被引：11
|
作者：
Qu, Changzheng [1 ,2 ]
Shen, Shoufeng [1 ,3 ]
机构：
[1] NW Univ Xian, Ctr Nonlinear Studies, Xian 710069, Peoples R China
[2] NW Univ Xian, Dept Math, Xian 710069, Peoples R China
[3] Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Zhejiang, Peoples R China
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2009年 / 50卷 / 10期
关键词：
integral equations; mathematical operators; nonlinear differential equations; partial differential equations; HIROTA 3-SOLITON CONDITION; SEPARATION APPROACH; COHERENT STRUCTURES; SYSTEM; SEARCH;
D O I：
10.1063/1.3238300
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Based on the Hirota's bilinear transformation method, it is shown that a family of nonlinear partial differential equations admit multilinear variable separation solutions. This extends the class of nonlinear partial differential equations which admit the multilinear variable separation solutions.
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页数：14
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