Binary Bell polynomial application in generalized (2+1)-dimensional KdV equation with variable coefficients

doi:10.1088/1674-1056/20/11/110204

中国物理B ›› 2011, Vol. 20 ›› Issue (11): 110204-110204.doi: 10.1088/1674-1056/20/11/110204

Binary Bell polynomial application in generalized (2+1)-dimensional KdV equation with variable coefficients

张翼, 魏薇薇, 程腾飞, 宋洋

Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China

收稿日期:2011-04-13 修回日期:2011-05-17 出版日期:2011-11-15 发布日期:2011-11-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 10831003) and the Natural Science Foundation of Zhejiang Province, China (Grant Nos. Y6100791 and R6090109).

Binary Bell polynomial application in generalized (2+1)-dimensional KdV equation with variable coefficients

Zhang Yi(张翼)^†, Wei Wei-Wei(魏薇薇), Cheng Teng-Fei(程腾飞), and Song Yang(宋洋)

Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China

Received:2011-04-13 Revised:2011-05-17 Online:2011-11-15 Published:2011-11-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 10831003) and the Natural Science Foundation of Zhejiang Province, China (Grant Nos. Y6100791 and R6090109).

摘要/Abstract

摘要： In this paper, we apply the binary Bell polynomial approach to high-dimensional variable-coefficient nonlinear evolution equations. Taking the generalized (2+1)-dimensional KdV equation with variable coefficients as an illustrative example, the bilinear formulism, the bilinear Bäcklund transformation and the Lax pair are obtained in a quick and natural manner. Moreover, the infinite conservation laws are also derived.

关键词: binary Bell polynomial, bilinear Bä, cklund transformation, Lax pair, conservation law

Abstract: In this paper, we apply the binary Bell polynomial approach to high-dimensional variable-coefficient nonlinear evolution equations. Taking the generalized (2+1)-dimensional KdV equation with variable coefficients as an illustrative example, the bilinear formulism, the bilinear Bäcklund transformation and the Lax pair are obtained in a quick and natural manner. Moreover, the infinite conservation laws are also derived.

Key words: binary Bell polynomial, bilinear B?cklund transformation, Lax pair, conservation law

中图分类号: (Integrable systems)

02.30.Ik

05.45.Yv (Solitons)

张翼, 魏薇薇, 程腾飞, 宋洋. Binary Bell polynomial application in generalized (2+1)-dimensional KdV equation with variable coefficients[J]. 中国物理B, 2011, 20(11): 110204-110204.

Zhang Yi(张翼), Wei Wei-Wei(魏薇薇), Cheng Teng-Fei(程腾飞), and Song Yang(宋洋) . Binary Bell polynomial application in generalized (2+1)-dimensional KdV equation with variable coefficients[J]. Chin. Phys. B, 2011, 20(11): 110204-110204.

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Binary Bell polynomial application in generalized (2+1)-dimensional KdV equation with variable coefficients

Binary Bell polynomial application in generalized (2+1)-dimensional KdV equation with variable coefficients

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