Painleve integrability and N-soliton solution for the Whitham-Broer-Kaupshallow water model using symbolic computation

被引：18

作者：

Zhang, Cheng ^{[1
]}

Tian, Bo ^{[1
,2
,3
]}

Meng, Xiang-Hua ^{[1
]}

Lue, Xing ^{[1
]}

Cai, Ke-Jie ^{[1
]}

Geng, Tao ^{[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 100083, Peoples R China

[3] Beijing Univ Posts & Telecommun, Minist Educ, Key Lab Opt Commun & Lightwave Technol, Beijing 100876, Peoples R China

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2008年 / 63卷 / 5-6期

基金：

高等学校博士学科点专项科研基金; 中国国家自然科学基金;

关键词：

Whitham-Broer-Kaup model; N-soliton solution; auto-Backlund transformation; Painleve analysis; bilinear form;

D O I：

10.1515/zna-2008-5-604

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

With the help of symbolic computation, the Whitham-Broer-Kaup shallow water model is analyzed for its integrability through the Painleve analysis. Then, by truncating the Painleve expansion at the constant level term with two singular manifolds, the Hirota bilinear form is obtained and the corresponding N-soliton solution with graphic analysis is also given. Furthermore, a bilinear auto-Backlund transformation is constructed for the Whitham-Broer-Kaup model, from which a one-soliton solution is presented.

引用

页码：253 / 260

页数：8

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