Permutability of Bäcklund transformation for \(N=1\) supersymmetric sinh-Gordon

DOI10.1016/j.physleta.2009.02.033zbMath1228.35226arXiv0902.2456OpenAlexW2089720103MaRDI QIDQ653549

J. F. Gomes, A. H. Zimerman, L. H. Ymai

Publication date: 19 December 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.2456

zbMATH Keywords

Bäcklund transformationnon-linear superposition formulasupersymmetric sinh-Gordon

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Supersymmetry and quantum mechanics (81Q60) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (7)

A Supersymmetric AKNS Problem and Its Darboux‐Bäcklund Transformations and Discrete Systems ⋮ \(\mathcal{N}=1 \) super sinh-Gordon model in the half line: breather solutions ⋮ Nonlinear superposition formula for SUSY SG/MKdV equations revisited ⋮ Bell-polynomial approach and soliton solutions for the Zhiber-Shabat equation and (2+1)-dimensional Gardner equation with symbolic computation ⋮ Defects in the supersymmetric mKdV hierarchy via Bäcklund transformations ⋮ Permutability of Backlund transformations for N=2 supersymmetric sine-Gordon ⋮ On integrability aspects of the supersymmetric sine-Gordon equation

Cites Work

• Soliton solutions for the super mKdV and sinh-Gordon hierarchy
• Bilinearization and soliton solutions of theN= 1 supersymmetric sine-Gordon equation
• Supersymmetric modified Korteweg–de Vries equation: bilinear approach
• Bilinearization ofN= 1 supersymmetric Korteweg–de Vries equation revisited
• Classical integrable super sinh-Gordon equation with defects

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