Journal of Nonlinear Mathematical Physics

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Volume 19, Issue 1, March 2012, Pages 48 - 61

Solutions and Lax Pairs based on Bilinear Bäcklund Transformations of Some Supersymmetric Equations

Authors
Lin Huang*, Da-Jun Zhang†
Department of Mathematics, Shanghai University, 99, Shangda Road, Shanghai, P. R. China
Received 14 August 2011, Accepted 16 October 2011, Available Online 6 January 2021.
DOI
10.1142/S1402925112500052How to use a DOI?
Keywords
Supersymmetric equations; bilinear Bäcklund transformations; multiple-pole solutions; Lax pairs
Abstract

The paper investigates solutions and Lax pairs through bilinear Bäcklund transformations for some supersymmetric equations. We derive variety of solutions from the known bilinear Bäcklund transformations. Besides, using the gauge invariance of (super) Hirota bilinear derivatives we may get deformed bilinear Bäcklund transformations and consequently deformed Lax pairs with fermionic parameters. Examples are the 𝒩 supersymmetric KdV equation and the 𝒩 supersymmetric KdV1 equation.

Copyright
© 2012 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
19 - 1
Pages
48 - 61
Publication Date
2021/01/06
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1142/S1402925112500052How to use a DOI?
Copyright
© 2012 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Lin Huang
AU  - Da-Jun Zhang
PY  - 2021
DA  - 2021/01/06
TI  - Solutions and Lax Pairs based on Bilinear Bäcklund Transformations of Some Supersymmetric Equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 48
EP  - 61
VL  - 19
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.1142/S1402925112500052
DO  - 10.1142/S1402925112500052
ID  - Huang2021
ER  -