摘要
利用基于2×2矩阵(Dbar)-问题的推广穿衣法,研究了一个耦合无色散方程,进而利用Cauchy矩阵的性质导出其孤立子解.此外,还讨论了N-孤立子解的渐近行为.
The dressing method based on the 2 × 2 matrix 0（Dbar）-problem is generalized to study a coupled dispersionless equation, from which the explicit soliton solutions of the coupled dispersionless equation are constructed by virtue of the properties of the Cauchy matrix. Moreover, the asymptotic behaviors of the N-soliton solution are discussed.
出处
《应用数学与计算数学学报》
2014年第2期140-149,共10页
Communication on Applied Mathematics and Computation
基金
Project supported by the National Natural Science Foundations of China(11001250,11331008)
the Foundation for Young Teachers in Colleges and Universities of Henan Province(2013GGJS-010)
the Soft Science Foundation of Science and Technology Department of Henan Province(142400410274)
