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《Acta Mathematica Scientia》 2006-S1
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Darboux Transformation of Broer-Kaup System and Its Soliton Solutions

Liu Ping (Department of applied mathematics. School of Mathematics and Statistics, Southwest University, Chongqing 400715)  
Based on the resulting Lax pairs of Broer-Kaup system, a new Darboux Transformation with multi-parameters is derived with the help of a gauge transformation of Broer-Kaup system spectral problem. From a trivial seed, using Darboux Transformation, the generalized soliton solutions of Broer-Kaup system are given. and we discuss N = 1 and N = 2 two cases. It is a new type for soliton figures associated with 2×2 matrix spectral problem.
【CateGory Index】: O175.29
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