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《Mathematics in Practice and Theory》 2010-21
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Darboux Transformation and Multi-Soliton Solutions of The Dispersive Long-Wave Equations

WEN Xiao-yong~(1,2),ZHANG Bing-Jiang~1 (1.Department of Mathematics,College of Sciences,Beijing Information Science and Technology University, Beijing 100192,China) (2.School of Aeronautic Science and Engineering,Beijing University of Aeronautics and Astronautics,Beijing 100191,China)  
In this paper,firstly,with the aid of symbolic computation Maple,the Lax pair for the dispersive long-wave equations is explicitly constructed by use of its Painleve property. Secondly,based on the resulting Lax pairs.the Darboux transformation with multi-parameters for that system is presented.By applying the Darboux transformation,we obtain new explicit (2N)-soliton solutions of that system.Finally,the properties for these solutions are graphically studied,which might be helpful to understand water wave propagation processes discirbed by that system.
【Fund】: 北京市教育委员会科技发展计划面上项目基金(KM201010772020 KM200910772018)
【CateGory Index】: O241.8
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