具有三个位势的广义耦合无色散可积方程的多孤子解(英文)  

Multi-soliton Solutions of the Generalized Coupled Dispersionless Integrable Equation with Three Potentials

作　　者：扎其劳[1] 

机构地区：[1]内蒙古师范大学数学科学学院,呼和浩特010022

出　　处：《内蒙古大学学报（自然科学版）》2011年第3期253-257,共5页Journal of Inner Mongolia University：Natural Science Edition

基　　金：Supported by the Natural Science Foundation of Inner Mongolia(Grant No 2009 MS0108);the High Education Science Research of Inner Mongolia Autonomous Region(Grant No.NJ10045)~~

摘　　要：利用具有三个位势的2×2矩阵谱问题的规范变换,给一个广义耦合无色散方程构造了一种新的N重达布变换.作为达布变换的应用,获得了该广义耦合无色散方程的N-孤子解.A new N-fold Darboux transformation of the generalized coupled dispersionless integrable equation is derived with the aid of the gauge transformation between corresponding 2×2 matrix spectral problems with three potentials.As an application of the Darboux transformation,N-soliton solutions of the generalized coupled dispersionless integrable equation are explicitly given.

关 键 词：达布变换 孤子解 广义耦合无色散可积方程 

分 类 号：O175.2[理学—数学]