Two kinds of new integrable decompositions of the mKdV equation

DOI10.1016/j.physleta.2005.09.048zbMath1195.37043OpenAlexW2009881917MaRDI QIDQ1957449

Jing Yu, Ruguang Zhou

Publication date: 27 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2005.09.048

zbMATH Keywords

completely integrable Hamiltonian systemsDirac bracketbinary nonlinearization of spectral problems

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 (9)

Riemann-Hilbert problems of a six-component mKdV system and its soliton solutions ⋮ Trigonal curves and algebro-geometric solutions to soliton hierarchies I ⋮ Riemann-Hilbert problems and \(N\)-soliton solutions for a coupled mKdV system ⋮ Riemann-Hilbert problems of a six-component fourth-order AKNS system and its soliton solutions ⋮ Application of the Riemann-Hilbert approach to the multicomponent AKNS integrable hierarchies ⋮ Computing the Solution of the m-Korteweg-de Vries Equation on Turing Machines ⋮ Two hierarchies of multi-component Kaup-Newell equations and theirs integrable couplings ⋮ An implicit symmetry constraint of the modified Korteweg-de Vries (mKdV) equation ⋮ Two kinds of new integrable decompositions of the Gerdjikov-Ivanov equation

Cites Work

• Unnamed Item
• Unnamed Item
• Nonlinearization of the Lax system for AKNS hierarchy
• New integrable systems and the MKdV hierarchy
• The general scheme for higher-order decompositions of zero-curvature equations associated with \(\widetilde {sl}(2)\)
• Constrained dynamics. With applications to Yang-Mills theory, general relativity, classical spin, dual string model
• Adjoint symmetry constraints of multicomponent AKNS equations.
• Relationships among three kinds of finite dimensional integrable Hamiltonian systems
• Adjoint Symmetry Constraints Leading to Binary Nonlinearization
• An explicit symmetry constraint for the Lax pairs and the adjoint Lax pairs of AKNS systems

This page was built for publication: Two kinds of new integrable decompositions of the mKdV equation