Journal of Nonlinear Mathematical Physics

Volume 13, Issue 1, February 2006, Pages 81 - 89

The Generalized Version of Dressing Method with Applications to AKNS Equations

Authors
Junyi ZHU, Xianguo GENG
Corresponding Author
Junyi ZHU
Available Online 1 February 2006.
DOI
https://doi.org/10.2991/jnmp.2006.13.1.7How to use a DOI?
Abstract
The generalized dressing method is extended to variable-coefficient AKNS equations, including a variable-coefficient coupled nonlinear Schr¨odinger equation and a variablcoefficient coupled mKdV equation. A general variable-coefficient KP equation is proposed and decomposed into the two 1+1 dimensional variable-coefficient soliton equations. As applications, we obtain exact solutions of these variable-coefficient soliton equations in 1+1- and 2+1- dimensions.
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
13 - 1
Pages
81 - 89
Publication Date
2006/02
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.2006.13.1.7How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - Junyi ZHU
AU  - Xianguo GENG
PY  - 2006
DA  - 2006/02
TI  - The Generalized Version of Dressing Method with Applications to AKNS Equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 81
EP  - 89
VL  - 13
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2006.13.1.7
DO  - https://doi.org/10.2991/jnmp.2006.13.1.7
ID  - ZHU2006
ER  -