By combining the Backlund transformations and the AKNS system[Study in Appl.Math.53(1974)249.]which is a linear eigenvalue problem of the corresponding evolution equation,a method to find new exact solutions from know...By combining the Backlund transformations and the AKNS system[Study in Appl.Math.53(1974)249.]which is a linear eigenvalue problem of the corresponding evolution equation,a method to find new exact solutions from known stationary solutions for nonlinear integrable equations is proposed.As an example,Korteweg de Vries(KdV)equation is used to illustrate this method,and a class of new exact solutions of KdV equation is obtained.展开更多
基金Supported by the National Natural Science Foundation of China under Grant No.19872044.
文摘By combining the Backlund transformations and the AKNS system[Study in Appl.Math.53(1974)249.]which is a linear eigenvalue problem of the corresponding evolution equation,a method to find new exact solutions from known stationary solutions for nonlinear integrable equations is proposed.As an example,Korteweg de Vries(KdV)equation is used to illustrate this method,and a class of new exact solutions of KdV equation is obtained.
