The integrability of nonisospectral and variable-coefficient KdV equation with binary Bell polynomials

被引：102
作者：
Fan, Engui [1 ,2 ]
机构：
[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
[2] Fudan Univ, Key Lab Math Nonlinear Sci, Shanghai 200433, Peoples R China
来源：
PHYSICS LETTERS A | 2011年 / 375卷 / 03期
基金：
美国国家科学基金会;
关键词：
Binary Bell polynomial; Nonisospectral KdV equation; Bilinear Backlund transformation; Lax pair; Infinite conservation law; EVOLUTION-EQUATIONS; SOLITON-SOLUTIONS; WAVE SOLUTIONS; BACKLUND;
D O I：
10.1016/j.physleta.2010.11.038
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Binary Bell polynomials are extended to systematically construct bilinear formalism, bilinear Backlund transformations, Lax pairs and infinite conservation laws of the nonisospectral and variable-coefficient KdV equation in a quick and natural way. Moreover, the infinite conservation laws are local and obtained through directly decoupling binary Bell polynomials. (C) 2010 Elsevier B.V. All rights reserved.
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页码：493 / 497
页数：5
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