Conservation laws and self-consistent sources for a super-CKdV equation hierarchy

DOI10.1016/j.physleta.2011.02.013zbMath1242.37047OpenAlexW2165393279MaRDI QIDQ432916

Li Li

Publication date: 4 July 2012

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2011.02.013

zbMATH Keywords

conservation lawmatrix Lie algebrasuper-CKdV hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of Lie groups to the sciences; explicit representations (22E70) Supersymmetry and quantum mechanics (81Q60)

Related Items

A nonlinear integrable couplings of C-KdV soliton hierarchy and its infinite conservation laws, The conservation laws and self-consistent sources for a super-Yang hierarchy, The binary nonlinearization of the super integrable system and its self-consistent sources, Self-consistent sources and conservation laws for a super Broer-Kaup-Kupershmidt equation hierarchy, Conservation laws for a super G-J hierarchy with self-consistent sources, Conservation laws and self-consistent sources for a super integrable equation hierarchy, Nonlinear superintegrable couplings for supercoupled KdV hierarchy with self-consistent sources

Cites Work

• Unnamed Item
• The Bargmann symmetry constraint and binary nonlinearization of the super Dirac systems
• A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
• Darboux transformations for supersymmetric Korteweg-de Vries equations
• Integration of the soliton hierarchy with self-consistent sources
• Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
• The supersymmetric Camassa–Holm equation and geodesic flow on the superconformal group
• A Supersymmetric Ito's Equation and its Soliton Solutions
• A supertrace identity and its applications to superintegrable systems
• Binary nonlinearization of the super AKNS system under an implicit symmetry constraint
• Bosons and fermions interacting integrably with the Korteweg-de Vries field
• Supersymmetric extension of the Korteweg–de Vries equation
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
• Supersymmetric extensions of the Harry Dym hierarchy
• An approach to generate superextensions of integrable systems
• On Darboux transformation of the supersymmetric sine-Gordon equation
• An explicit symmetry constraint for the Lax pairs and the adjoint Lax pairs of AKNS systems