Two kinds of new integrable couplings of the negative-order Korteweg-de Vries equation

DOI10.1155/2015/154915zbMath1337.37053OpenAlexW2086750655WikidataQ59102431 ScholiaQ59102431MaRDI QIDQ277943

Publication date: 2 May 2016

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/154915

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 (1)

Simulation, modeling, and analysis of soliton waves interaction and propagation in CNN transmission lines for innovative data communication and processing

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Variational identities and applications to Hamiltonian structures of soliton equations
Constructing nonlinear discrete integrable Hamiltonian couplings
A few integrable systems and spatial spectral transformations
Two expanding integrable systems and quasi-Hamiltonian function associated with an equation hierarchy
Semi-direct sums of Lie algebras and continuous integrable couplings
A general approach for getting the commutator representations of the hierarchies of nonlinear evolution equations
A few integrable couplings of some integrable systems and (\(2 + 1\))-dimensional integrable hierarchies
The bi-Hamiltonian structure of the perturbation equations of the KdV hierarchy.
Some Evolution Hierarchies Derived from Self-dual Yang—Mills Equations
Lie Algebras and Integrable Systems
The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
Induced Lie Algebras of a Six-Dimensional Matrix Lie Algebra
A direct method for integrable couplings of TD hierarchy
Category of nonlinear evolution equations, algebraic structure, and r-matrix
Four Lie algebras associated with R6 and their applications
Three kinds of coupling integrable couplings of the Korteweg–de Vries hierarchy of evolution equations
Coupling integrable couplings and bi-Hamiltonian structure associated with the Boiti–Pempinelli–Tu hierarchy
Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras
The quadratic-form identity for constructing the Hamiltonian structure of integrable systems
Integrable couplings of soliton equations by perturbations. I: A general theory and application to the KdV hierarchy

This page was built for publication: Two kinds of new integrable couplings of the negative-order Korteweg-de Vries equation