Hirota's virtual multisoliton solutions of \(N=2\) supersymmetric Korteweg-de Vries equations

DOI10.1007/s11232-009-0071-xzbMath1179.35288arXiv0810.0930OpenAlexW3102734047MaRDI QIDQ1034478

Véronique Hussin, Arthemy V. Kiselev

Publication date: 6 November 2009

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.0930

zbMATH Keywords

phase shiftsupersymmetric KdVHirota's solitonKrasil'shchik-Kersten systemspontaneous decay

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Supersymmetry and quantum mechanics (81Q60) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)

Related Items

Solutions and Lax Pairs based on Bilinear Bäcklund Transformations of Some Supersymmetric Equations, Soliton and similarity solutions of \({\mathcal N=2,4}\) supersymmetric equations, A novel Hirota bilinear approach to N = 2 supersymmetric equations, On the (non)removability of spectral parameters in \(\mathbb{Z}_{2}\)-graded zero-curvature representations and its applications, A N = 2 extension of the Hirota bilinear formalism and the supersymmetric KdV equation, N = 2 supersymmetric a=4-Korteweg–de Vries hierarchy derived via Gardner’s deformation of Kaup–Boussinesq equation, Gardner's deformations of the graded Korteweg–de Vries equations revisited

Cites Work

• Unnamed Item
• Classification of integrable super-systems using the Sstools environment
• \(N=2\) super KdV and super sine-Gordon equations based on Lie super algebra \(A(1,1)^{(1)}\).
• A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
• Solitary wave and doubly periodic wave solutions for the Kersten-Krasil'shchik coupled KdV-mKdV system
• Benjamin-Ono interacting solitons as field representatives of Galilean point particles
• A new N=2 supersymmetric Korteweg–de Vries equation
• Group invariant solutions for the N=2 super Korteweg–de Vries equation
• Integrability of Kersten–Krasil’shchik coupled KdV–mKdV equations: singularity analysis and Lax pair
• Explicit solutions of supersymmetric KP hierarchies: Supersolitons and solitinos
• Soliton solutions for the \(N=2\) supersymmetric KdV equation