Bilinear approach to \(N = 2\) supersymmetric KdV equations

DOI10.1007/s11425-009-0014-xzbMath1179.35301arXiv0809.0947OpenAlexW3105626025MaRDI QIDQ1044263

Yali Shen, Ke Wu, Qing-Ping Liu, Meng-Xia Zhang

Publication date: 11 December 2009

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.0947

zbMATH Keywords

solitonsLax representationBäcklund transformationHirota bilinear form

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Solutions to PDEs in closed form (35C05) Soliton solutions (35C08)

Related Items

Solutions and Lax Pairs based on Bilinear Bäcklund Transformations of Some Supersymmetric Equations, New Bilinear Bäcklund Transformation and Lax Pair for the Supersymmetric Two-Boson Equation, Four super integrable equations: nonlocal symmetries and applications, Bilinear approach to the supersymmetric Gardner equation, Darboux transformations for the supersymmetric two-boson hierarchy, Soliton and similarity solutions of \({\mathcal N=2,4}\) supersymmetric equations, A novel Hirota bilinear approach to N = 2 supersymmetric equations, A N = 2 extension of the Hirota bilinear formalism and the supersymmetric KdV equation, Bäcklund-Darboux transformations and discretizations of \(N=2a=-2\) supersymmetric KdV equation, Bilinear approach to supersymmetric AKNS system; multiple dressing of fermionic amplitudes, On Bäcklund transformation for supersymmetric two-boson equation, Supersymmetric Euler equations associated to the N ≤ 3 Neveu-Schwarz algebra, The transformations between N = 2 supersymmetric Korteweg-de Vries and Harry Dym equations

Uses Software

• SuSy 2

Cites Work

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