Integrable couplings stemming from three-dimensional unital algebras

DOI10.1016/J.PHYSLETA.2024.129783MaRDI QIDQ6613210

Could not fetch data.

Publication date: 1 October 2024

Published in: (Search for Journal in Brave)

zbMATH Keywords

symmetryrecursion operatorLax pairintegrable modelthree-dimensional algebra

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Bosonization, singularity analysis, nonlocal symmetry reductions and exact solutions of supersymmetric KdV equation
• Nonlinear continuous integrable Hamiltonian couplings
• Partial differential equations possessing Frobenius integrable decompositions
• Coupling commutator pairs and integrable systems
• Integrable theory of the perturbation equations.
• Two integrable couplings of the Tu hierarchy and their Hamiltonian structures
• An integrable coupling hierarchy of the MKdV\_integrable systems, its Hamiltonian structure and corresponding nonisospectral integrable hierarchy
• On systems of complex numbers and their use in the theory of transformation groups
• Tri-integrable couplings of the Giachetti-Johnson soliton hierarchy as well as their Hamiltonian structure
• A new multi-component integrable coupling and its application to isospectral and nonisospectral problems
• A generalized MKdV hierarchy, tri-Hamiltonian structure, higher-order binary constrained flows and its integrable couplings system
• New non-isospectral integrable couplings of the AKNS system
• Nonlinear super integrable Hamiltonian couplings
• Integrable couplings of fractional L-hierarchy and its Hamiltonian structures
• APPLICATIONS OF THE LIE ALGEBRA gl(2)
• Integrable couplings of relativistic Toda lattice systems in polynomial form and rational form, their hierarchies and bi-Hamiltonian structures
• Supersymmetric extension of the Korteweg–de Vries equation
• Application of hereditary symmetries to nonlinear evolution equations
• Bi-differential calculi and integrable models
• INTEGRABLE COUPLINGS AND NEW EXACT SOLUTIONS FOR THE NONISOSPECTRAL AKNS EQUATION
• Bi-integrable couplings and tri-integrable couplings of the modified Ablowitz-Kaup-Newell-Segur hierarchy with self-consistent sources
• Decompositions and linear superpositions of B‐type Kadomtsev‐Petviashvili equations
• Extensions of dark KdV equations: nonhomogeneous classifications, bosonizations of fermionic systems and supersymmetric dark systems
• Integrable couplings of two expanded non-isospectral soliton hierarchies and their bi-Hamiltonian structures
• Type \((\lambda^\ast,\lambda)\) reduced nonlocal integrable AKNS equations and their soliton solutions
• A four-component hierarchy of combined integrable equations with bi-Hamiltonian formulations
• Ren-integrable and Ren-symmetric integrable systems
• A combined Liouville integrable hierarchy associated with a fourth-order matrix spectral problem
• Binary Darboux transformation of vector nonlocal reverse-space nonlinear Schrödinger equations

This page was built for publication: Integrable couplings stemming from three-dimensional unital algebras

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6613210)