A SIMPLE METHOD TO CONSTRUCT INTEGRABLE COUPLING SYSTEM FOR THE MKdV EQUATION HIERARCHY

DOI10.1142/S0217984909017935zbMath1179.37089OpenAlexW2042484821MaRDI QIDQ3631125

Fa-Jun Yu

Publication date: 5 June 2009

Published in: Modern Physics Letters B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217984909017935

zbMATH Keywords

Kronecker productintergrable couplingsMKdV equation hierarchy

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) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Cites Work

• A generalized cubic Volterra lattice hierarchy and its integrable couplings system
• Integrable theory of the perturbation equations.
• A multi-component matrix loop algebra and a unified expression of the multi-component AKNS hierarchy and the multi-component BPT hierarchy
• Semi-direct sums of Lie algebras and continuous integrable couplings
• Lax representations and zero-curvature representations by the Kronecker product
• Enlarging spectral problems to construct integrable couplings of soliton equations
• A Liouville integrable lattice soliton equation, infinitely many conservation laws and integrable coupling systems
• New exact solutions to a solutions to a system of coupled KdV equations
• The bi-Hamiltonian structure of the perturbation equations of the KdV hierarchy.
• A \(2+1\) non-isospectral discrete integrable system and its discrete integrable coupling system
• A new loop algebra system and its discrete integrable coupling system
• Integration of the soliton hierarchy with self-consistent sources
• Integrable couplings of vector AKNS soliton equations
• Lie–Bäcklund symmetries of certain nonlinear evolution equations under perturbation around their solutions
• A new truncation in Painleve analysis
• A new loop algebra and a corresponding integrable hierarchy, as well as its integrable coupling

This page was built for publication: A SIMPLE METHOD TO CONSTRUCT INTEGRABLE COUPLING SYSTEM FOR THE MKdV EQUATION HIERARCHY