Binary Bell Polynomials Approach to Generalized Nizhnik-Novikov-Veselov Equation

被引：16

作者：

Hu Xiao-Rui ^{[1
]}

Chen Yong ^{[1
,2
,3
]}

机构：

[1] E China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai 200062, Peoples R China

[2] Ningbo Univ, Ctr Nonlinear Sci, Ningbo 315211, Zhejiang, Peoples R China

[3] Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2011年 / 56卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Generalized Nizhnik-Novikov-Veselov equation; binary Bell polynomials; conservation laws; COHERENT STRUCTURES; CONSERVATION-LAWS; WAVE SOLUTIONS; SOLITON; TRANSFORM;

D O I：

10.1088/0253-6102/56/2/04

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The elementary and systematic binary Bell polynomials method is applied to the generalized Nizhnik-Novikov-Veselov (GNNV) equation. The bilinear representation, bilinear Backlund transformation, Lax pair and infinite conservation laws of the GNNV equation are obtained directly, without too much trick like Hirota's bilinear method.

引用

页码：218 / 222

页数：5

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