An Application of a Generalized Version of the Dressing Method to Integration of a Variable-Coefficient Dirac System

Department of Mathematical and Physical Science, Henan Institute of Engineering, Zhengzhou 451191

Received Date: March 01, 2010

Published Date: August 31, 2010

Abstract

By using the generalized version of the dressing method, we consider a Dirac system. The types of nonlinear evolution equations discussed involve the integrable variable-coefficient Dirac equation and the defocusing nonlinear Schrödinger equation. As an application, their explicit solutions and Lax pairs are given.

FullText(HTML)

[1]	Zakharov V E and Shabat A B 1974 Funt. Anal. Appl. 8 226
[2]	Zakharov V E and Shabat A B 1979 Funt. Anal. Appl. 8 13
[3]	Chowdhury R and Basak S 1984 J. Phys. A 17 683
[4]	Dye J M and Parker A 2000 J. Math. Phys. 41 2889
[5]	Parker A 2001 Inverse Problems 17 885
[6]	Dai H H and Jeffrey A 1989 Phys. Lett. A 139 369
[7]	Jeffrey A and Dai H H 1990 Rendiconti. di Mathematica, Serie VII 10 439
[8]	Frolov I S 1972 Sov. Math. Dokl. 13 1468
[9]	Asano N and Kato Y 1984 J. Math. Phys. 25 570
[10]	Du D L 1998 PhD Dissertation (Zhengzhou: Zhengzhou University)
[11]	Hinton D B, Jordan A K, Klaus M and Shaw J K 1991 J. Math. Phys. 32 3015

Export File