Lie Point Symmetries and Exact Solutions of the Coupled Volterra System
LIU Ping1, LOU Sen-Yue2,3
1Department of Electronic Engineering, University of Electronic Science and Technology of China Zhongshan Institute, Zhongshan 5284022Department of Physics, Shanghai Jiao Tong University, Shanghai 2002403Faculty of Science, Ningbo University, Ningbo 315211
Lie Point Symmetries and Exact Solutions of the Coupled Volterra System
LIU Ping1, LOU Sen-Yue2,3
1Department of Electronic Engineering, University of Electronic Science and Technology of China Zhongshan Institute, Zhongshan 5284022Department of Physics, Shanghai Jiao Tong University, Shanghai 2002403Faculty of Science, Ningbo University, Ningbo 315211
摘要The coupled Volterra system, an integrable discrete form of a coupled Korteweg-de Vries (KdV) system applied widely in fluids, Bose-Einstein condensation and atmospheric dynamics, is studied with the help of the Lie point symmetries. Two types of delayed differential reduction systems are derived from the coupled Volterra system by means of the symmetry reduction approach and symbolic computation. Cnoidal wave and solitary wave solutions for a delayed differential reduction system and the coupled Volterra system are proposed, respectively.
Abstract：The coupled Volterra system, an integrable discrete form of a coupled Korteweg-de Vries (KdV) system applied widely in fluids, Bose-Einstein condensation and atmospheric dynamics, is studied with the help of the Lie point symmetries. Two types of delayed differential reduction systems are derived from the coupled Volterra system by means of the symmetry reduction approach and symbolic computation. Cnoidal wave and solitary wave solutions for a delayed differential reduction system and the coupled Volterra system are proposed, respectively.
LIU Ping;LOU Sen-Yue;. Lie Point Symmetries and Exact Solutions of the Coupled Volterra System[J]. 中国物理快报, 2010, 27(2): 20202-020202.
LIU Ping, LOU Sen-Yue,. Lie Point Symmetries and Exact Solutions of the Coupled Volterra System. Chin. Phys. Lett., 2010, 27(2): 20202-020202.
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2010, Vol. 27 
