摘要
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.
作者
LIU Zeng-rong
HUANG De-bin
刘曾荣;黄德斌(Departement of Mathmatics,Shanghai University,Shanghai 201800;Institute of Mechanics,Chinese Academy of Sciences,Beijing 100080)
基金
Supported by the National Natural Science Foundation of China under Grant No.19872044.
