Bäcklund transformations for the isospectral and nonisospectral AKNS hierarchies

Tian, C. ; Zhang, Y. J.

College Park, Md. : American Institute of Physics (AIP)
Published 1990
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
Physics
Notes:
By converting the usual Lax pairs for the isospectral and nonisospectral AKNS hierarchies into Lax pairs in Riccati forms, a unified explicit form of Bäcklund transformations for these hierarchies of nonlinear evolution equations can be obtained. In the isospectral case it is an auto-Bäcklund transformation; however, in the nonisospectral case it is not an auto-Bäcklund transformation.
Type of Medium:
Electronic Resource
URL: