A non-isospectral integrable couplings of Volterra lattice hierarchy with self-consistent sources

DOI10.1016/j.amc.2009.06.071zbMath1220.37059OpenAlexW1975732505MaRDI QIDQ734887

Fa-Jun Yu

Publication date: 14 October 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.06.071

zbMATH Keywords

self-consistent sourcesintegrable couplingnon-isospectralcubic Volterra lattice

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lattice dynamics; integrable lattice equations (37K60) Ordinary lattice differential equations (34A33)

Related Items (2)

Generalized Volterra lattices: binary Darboux transformations and self-consistent sources ⋮ New form \((2+1)\)-dimensional integrable lattice hierarchies with two shift operators Ẽ and Ê

Cites Work

• Unnamed Item
• Unnamed Item
• The multi-component TD hierarchy and its multi-component integrable coupling system with five arbitrary functions
• Integrable theory of the perturbation equations.
• Semi-direct sums of Lie algebras and continuous integrable couplings
• Conservation laws for classes of nonlinear evolution equations solvable by the spectral transform
• Enlarging spectral problems to construct integrable couplings of soliton equations
• The multi-component generalized Wadati-Konono-Ichikawa (WKI) hierarchy and its multi-component integrable couplings system with two arbitrary functions
• 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
• Complexiton solutions of the Korteweg-de Vries equation with self-consistent sources
• Integration of the soliton hierarchy with self-consistent sources
• Integrable couplings of vector AKNS soliton equations
• Characteristic Numbers of Matrix Lie Algebras
• Soliton, Positon and Negaton Solutions to a Schrödinger Self-consistent Source Equation
• A new loop algebra and a corresponding integrable hierarchy, as well as its integrable coupling
• A discrete variational identity on semi-direct sums of Lie algebras
• A trace identity and its applications to the theory of discrete integrable systems

This page was built for publication: A non-isospectral integrable couplings of Volterra lattice hierarchy with self-consistent sources