Finite symmetry transformation group of the Konopelchenko–Dubrovsky equation from its Lax pair

doi:10.1088/1674-1056/21/2/020202

中国物理B ›› 2012, Vol. 21 ›› Issue (2): 20202-020202.doi: 10.1088/1674-1056/21/2/020202

胡瀚玮¹ ²,俞军¹

收稿日期:2011-06-29 修回日期:2011-09-24 出版日期:2012-01-30 发布日期:2012-01-30
通讯作者: 俞军,junyu@usx.edu.cn E-mail:junyu@usx.edu.cn

Finite symmetry transformation group of the Konopelchenko–Dubrovsky equation from its Lax pair

Hu Han-Wei(胡瀚玮)^a)b) and Yu Jun(俞军)^a)^†

a. Department of Physics, Shaoxing University, Shaoxing 312000, China;
b. Department of Physics, Ningbo University, Ningbo 315211, China

Received:2011-06-29 Revised:2011-09-24 Online:2012-01-30 Published:2012-01-30
Contact: Yu Jun,junyu@usx.edu.cn E-mail:junyu@usx.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 10875078) and the Natural Science Foundation of Zhejiang Province, China (Grant No. Y7080455).

摘要/Abstract

Abstract: Starting from a weak Lax pair, the general Lie point symmetry group of the Konopelchenko-Dubrovsky equation is obtained by using the general direct method. And the corresponding Lie algebra structure is proved to be a Kac-Moody-Virasoro type. Furthermore, a new multi-soliton solution for the Konopelchenko-Dubrovsky equation is also given from this symmetry group and a known solution.

Key words: Lax pairs, symmetries, symmetry group, exact solution

中图分类号: (Integrable systems)

02.30.Ik

02.30.Jr (Partial differential equations) 05.45.Yv (Solitons)

胡瀚玮, 俞军. [J]. 中国物理B, 2012, 21(2): 20202-020202.

Hu Han-Wei(胡瀚玮) and Yu Jun(俞军) . Finite symmetry transformation group of the Konopelchenko–Dubrovsky equation from its Lax pair[J]. Chin. Phys. B, 2012, 21(2): 20202-020202.

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Finite symmetry transformation group of the Konopelchenko–Dubrovsky equation from its Lax pair

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