1. Department of Mathematics, Lanzhou City University, Lanzhou 730070, China
;2. School of Statistics and Mathematics, Shandong Economic University, Jinan
250014, China
Abstract:
The bilinear form of the (2+1)-dimensional non-isospectral AKNS
system is derived. Its N-soliton solutions are obtained by using
the Hirota method. As a reduction, a (2+1)-dimensional non-isospectral
Schrödinger equation and its N-soliton solutions are constructed.