AN INTEGRABLE DECOMPOSITION OF THE SYMMETRIC MATRIX KdV EQUATION

DOI10.1142/S0217984908015383zbMath1151.82333OpenAlexW1977444113MaRDI QIDQ3534081

Zhen-Yun Qin, Ruguang Zhou

Publication date: 3 November 2008

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

Full work available at URL: https://doi.org/10.1142/s0217984908015383

zbMATH Keywords

integrable Hamiltonian systemnonlinearization of Lax pairintegrable decompositionmatrix KdV equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

• Multicomponent NLS-type equations on symmetric spaces and their reductions
• Integrable evolution equations on associative algebras
• A finite-dimensional integrable system related to a new coupled KdV hierarchy
• A Bargmann system and the involutive representation of solutions of the Levi hierarchy
• GENERALIZED r-MATRIX STRUCTURE AND ALGEBRO-GEOMETRIC SOLUTION FOR INTEGRABLE SYSTEM
• A Hierarchy of Coupled Korteweg–de Vries Equations and the Corresponding Finite-Dimensional Integrable System
• Nonlinearization of spectral problems for the perturbation KdV systems
• The trace formula of a matrix differential operator with application of integrable system
• Darboux transformation and Crum's formula for multi-component integrable equations
• Multisoliton solutions of the matrix KdV equation

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