Solutions and Lax Pairs based on Bilinear Bäcklund Transformations of Some Supersymmetric Equations
- 10.1142/S1402925112500052How to use a DOI?
- Supersymmetric equations; bilinear Bäcklund transformations; multiple-pole solutions; Lax pairs
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.
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Cite this article
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 -