N-Fold Darboux transformation and solitonic interactions for a Volterra lattice system

被引：0
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作者：
Xiaoyong Wen
Xiaoyan Hu
机构：
[1] Beijing Information Science and Technology University,Department of Mathematics, School of Sciences
[2] Beijing Institute of Applied Physics and Computational Mathematics,undefined
来源：
Advances in Difference Equations | / 2014卷
关键词：
Volterra lattice system; -fold Darboux transformation; -soliton solutions in terms of determinant; conservation laws; symbolic computation;
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学科分类号：
摘要：
Under consideration in this paper is a Volterra lattice system. Through symbolic computation, the Lax pair and conservation laws are derived, an integrable lattice hierarchy and an N-fold Darboux transformation (DT) are constructed for this system. Furthermore, N-soliton solutions in terms of determinant are generated with the resulting N-fold DT. Structures of the one-, two- and three-soliton solutions are shown graphically. Overtaking inelastic solitonic interactions between/among the two and three solitons are discussed by figures plotted.
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