Author(s): GAI Xiao-Ling GAO Yi-Tian MENG De-Xin WANG Lei SUN Zhi-Yuan FENG Qian WANG Ming-Zhen YU Xin ZHU Shun-Hui 1 Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing 100191, China 2 State Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics, Beijing 100191, China 3 School of Science, Beijing University of Posts and Telecommunications, P.O.Box 122, Beijing 100876, China
Pages: 673-678
Year: 2010 Issue:  4
Journal: Communications in Theoretical Physics
Keyword:  variable-coefficient modified Kortweg-de Vries model;  Lax pair;  Darboux transformation;  soliton solutions;
Abstract: <正> This paper is to investigate a variable-coefficient modified Kortweg-de Vries (vc-mKdV) model, whichdescribes some situations from fluid mechanics, ocean dynamics, and plasma mechanics. By the Ablowitz-Kaup Newell-Segurprocedure and symbolic computation, the Lax pair of the ve-MKdV model is derived. Then, based on theaforementioned Lax pair, the Darboux transformation is constructed and a new one-soliton-like solution is obtained aswell. Features of the one-soliton-like solution are analyzed and graphically discussed to illustrate the influence of thevariable coefficients in the solitonlike propagation.