Backlund transformation, Lax pair, and solutions for the Caudrey-Dodd-Gibbon equation

被引：8
|
作者：
Qu, Qi-Xing [1 ]
Tian, Bo [1 ,2 ,3 ]
Sun, Kun [1 ]
Jiang, Yan [1 ]
机构：
[1] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China
[2] Beijing Univ Aeronaut & Astronaut, State Key Lab Software Dev Environm, Beijing 100191, Peoples R China
[3] Beijing Univ Posts & Telecommun, Sch Sci, Key Lab Informat Photon & Opt Commun BUPT, Minist Educ, Beijing 100876, Peoples R China
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2011年 / 52卷 / 01期
基金：
中国国家自然科学基金;
关键词：
DE-VRIES EQUATION; EVOLUTION-EQUATIONS; WAVE SOLUTIONS;
D O I：
10.1063/1.3532766
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
By using Bell polynomials and symbolic computation, we investigate the Caudrey-Dodd-Gibbon equation analytically. Through a generalization of Bells polynomials, its bilinear form is derived, based on which, the periodic wave solution and soliton solutions are presented. And the soliton solutions with graphic analysis are also given. Furthermore, Backlund transformation and Lax pair are derived via the Bells exponential polynomials. Finally, the Ablowitz-Kaup-Newell-Segur system is constructed. (C) 2011 American Institute of Physics. [doi: 10.1063/1.3532766]
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页数：10
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