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