INTEGRABLE COUPLINGS AND NEW EXACT SOLUTIONS FOR THE NONISOSPECTRAL AKNS EQUATION

Abstract

In this paper, we derive nonisospectral AKNS equations from the AKNS spectral problem. By using a new Loop algebra [Formula: see text], their integrable couplings are constructed. Moreover, bilinear forms of the nonisospectral AKNS equation are given. New exact solutions are obtained through the Hirota method. Some nonisospectral characteristics of the obtained solutions are discussed.