Multi-linear Variable Separation Approach to Solve a（1+1）-Dimensional Coupled Integrable Dispersionless System

摘要

＜正＞ The multi-linear variable separation approcah（MLVSA）is very useful to solve（2+1）-dimensional integrablesystems.In this letter,we extend this method to solve a（1+1）dimensional coupled integrable dispersion-less system.Namely,by using a B（?）cklund transformation and the MLVSA,we find a new general solution and define a new"universalformula".Then,some new（1+1）-dimensional coherent structures of this universal formula can be found by selectingcorresponding functions appropriately.Specially,in some conditions,bell soliton and kink soliton can transform eachother,which are illustrated graphically.