Supersymmetric reciprocal transformation and its applications

DOI10.1063/1.3481568zbMath1309.37061arXiv1002.1769OpenAlexW2049014794MaRDI QIDQ5245815

Kai Tian, Ziemowit Popowicz, Qing-Ping Liu

Publication date: 15 April 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.1769

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) Inverse problems for PDEs (35R30) Supersymmetry and quantum mechanics (81Q60) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (12)

Super modified KP hierarchy in Kac–van de Leur construction ⋮ Symbolic Representation and Classification of Supersymmetric Evolutionary Equations ⋮ New Bilinear Bäcklund Transformation and Lax Pair for the Supersymmetric Two-Boson Equation ⋮ Two new supersymmetric equations of harry dym type and their supersymmetric reciprocal transformations ⋮ Super Hirota bilinear equations for the super modified BKP hierarchy ⋮ Exact solutions of supersymmetric Burgers equation with bosonization procedure ⋮ Supersymmetric Sawada-Kotera Equation: Bäcklund-Darboux Transformations and Applications ⋮ The even and odd supersymmetric Hunter-Saxton and Liouville equations ⋮ Supersymmetric integrable systems associated with KdV and MKdV equations ⋮ Nonlinear super integrable couplings of super Broer-Kaup-Kupershmidt hierarchy and its super Hamiltonian structures ⋮ Behaviors of \(N = 1\) supersymmetric Euler derivatives and Hamiltonian operators under general superconformal transformations ⋮ The transformations between N = 2 supersymmetric Korteweg-de Vries and Harry Dym equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A supersymmetric Sawada-Kotera equation
• Odd Hamiltonian structure for supersymmetric Sawada-Kotera equation
• Soliton structure versus singularity analysis: Third-order completely integrable nonlinear differential equations in \(1+1\)-dimensions
• Quantum OSP-invariant nonlinear Schrödinger equation
• A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
• The bi-Hamiltonian structure of fully supersymmetric Korteweg-de Vries systems
• SuSy 2.
• An \(r\)-matrix approach to nonstandard classes of integrable equations
• Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation
• Supersymmetric extension of the Korteweg–de Vries equation
• Factorization of operators I. Miura transformations
• Bäcklund transformations for hereditary symmetries
• A new N=2 supersymmetric Korteweg–de Vries equation
• On Reciprocal Bäcklund Transformations of Inverse Scattering Schemes
• A Nonlinearly Dispersive Fifth Order Integrable Equation and its Hierarchy
• Supersymmetric extensions of the Harry Dym hierarchy

This page was built for publication: Supersymmetric reciprocal transformation and its applications