Conservation laws for a super G-J hierarchy with self-consistent sources

DOI10.1016/j.cnsns.2011.06.007zbMath1245.37011OpenAlexW2015737167MaRDI QIDQ430320

Hui Wang, Tie-cheng Xia

Publication date: 21 June 2012

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2011.06.007

zbMATH Keywords

conservation lawself-consistent sourcesFermi quantitysuper G-J hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

Related Items (8)

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 ⋮ Self-consistent sources and conservation laws for nonlinear integrable couplings of the Li soliton hierarchy ⋮ The fractional supertrace identity and its application to the super Jaulent-Miodek hierarchy ⋮ An integrable generalization of the super AKNS hierarchy and its bi-Hamiltonian formulation ⋮ A generalized super AKNS hierarchy associated with Lie superalgebra \(sl(2|1)\) and its super bi-Hamiltonian structure ⋮ Super Jaulent-Miodek hierarchy and its super Hamiltonian structure, conservation laws and its self-consistent sources

Cites Work

• Conservation laws and self-consistent sources for a super-CKdV equation hierarchy
• The Bargmann symmetry constraint and binary nonlinearization of the super Dirac systems
• A kind of integrable couplings of soliton equations hierarchy with self-consistent sources associated with \(\tilde{sl}(4)\)
• Lie algebras and Lie super algebra for the integrable couplings of NLS-mKdV hierarchy
• Two super-integrable hierarchies and their super-Hamiltonian structures
• Hamiltonian and super-Hamiltonian extensions related to Broer-Kaup-Kupershmidt system
• Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
• A New Integrable Couplings of Classical-Boussinesq Hierarchy with Self-Consistent Sources
• BINARY NONLINEARIZATION OF THE SUPER AKNS SYSTEM
• A supertrace identity and its applications to superintegrable systems
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
• A LIE SUPERALGEBRA AND CORRESPONDING HIERARCHY OF EVOLUTION EQUATIONS

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