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Journal of Mathematical Physics : Symmetry, full symmetry groups, and some exact solutions to a generalized Davey…Stewartson system

By Biao Li, Wang-Chuan Ye, and Yong Chen

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Book Id: WPLBN0002169557
Format Type: PDF eBook :
File Size: Serial Publication
Reproduction Date: 9 October 2008

Title: Journal of Mathematical Physics : Symmetry, full symmetry groups, and some exact solutions to a generalized Davey…Stewartson system  
Author: Biao Li, Wang-Chuan Ye, and Yong Chen
Volume: Issue : October 2008
Language: English
Subject: Science, Physics, Natural Science
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Journal of Mathematical Physics Collection
Historic
Publication Date:
Publisher: American Institute of Physics

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Wang-Chuan Ye, And Yong Che, B. L. (n.d.). Journal of Mathematical Physics : Symmetry, full symmetry groups, and some exact solutions to a generalized Davey…Stewartson system. Retrieved from http://hawaiilibrary.net/


Description
Description: The Lie symmetry algebra of a generalized Davey–Stewartson (GDS) system is obtained. The general element of this algebra depends on eight arbitrary functions of time, which has a Kac–Moody–Virasoro loop algebra structure and is isomorphic to that of the standard integrable Davey–Stewartson equations under certain conditions imposed on parameters and arbitrary functions. Then based on the symmetry group direct method proposed by Lou and Ma [J. Phys. A 38, L129 (2005)] the full symmetry groups of the GDS system are obtained. From the full symmetry groups, both the Lie symmetry group and a group of discrete transformations can be obtained. Finally, some exact solutions involving sech-sech2-sech2 and tanh-tanh2-tanh2 type solitary wave solutions are presented by a generalized subequation expansion method.

 

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