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N-Soliton Solutions in terms of Determinant and Inelastic Interaction for Volterra Lattice in Plasmas
Wen Xiaoyong 1,Gao Yitian 1 *,Yu Xin 1,Xue Yushan 2,Guo Rui 2,Qi Fenghua 2
1.Ministry-of-Education Key Laboratory of Fluid Mechanics andNational Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing 100191
2.School of Science, P.O. Box 122, Beijing University of Posts and Telecommunications, Beijing 100876
*Correspondence author
#Submitted by
Subject:
Funding: the Specialized Research Fund for the Doctoral Program of Higher Education (No.No. 200800130006), by the Fundamental Research Funds for the Central Universities of China(No.No.2011BUPTYB02), National Natural Science Foundation of China(No.No.60772023), Chinese Ministry of Education, and by the Scientific Research Common Program of Beijing Municipal Commission of Education(No.No.KM201010772020)
Opened online:16 May 2012
Accepted by: none
Citation: Wen Xiaoyong,Gao Yitian,Yu Xin.N-Soliton Solutions in terms of Determinant and Inelastic Interaction for Volterra Lattice in Plasmas[OL]. [16 May 2012] http://en.paper.edu.cn/en_releasepaper/content/4477990
 
 
Volterra lattice can describe the Langmiuir waves in plasma dynamics. In this paper, Volterra lattice is investigated via Darboux transformation (DT) technique. N-fold DT and conservation laws for Volterra lattice are constructed basing on its Lax representation. N-soliton solutions in terms of determinant are derived with the resulting DT. Structures of the one-, two- and three-soliton solutions are shown graphically. Inelastic interaction phenomena between/among the two and three solitons are discussed for the Volterra lattice: solitonic shapes and amplitudes have changed after the interaction.
Keywords:Volterra lattice; N-fold Darboux transformation; N-soliton solutions; Conservation laws; Symbolic computation
 
 
 

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