A generalized cubic Volterra lattice hierarchy and its integrable couplings system

DOI10.1016/J.CHAOS.2005.02.044zbMath1083.37052OpenAlexW2043789996MaRDI QIDQ813525

Fucai You, Deng-Yuan Chen, Tie-cheng Xia

Publication date: 13 February 2006

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.02.044

zbMATH Keywords

cubic Volterra lattice equationdiscrete matrix spectral problem

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)

A nonlinear integrable couplings of C-KdV soliton hierarchy and its infinite conservation laws ⋮ A real nonlinear integrable couplings of continuous soliton hierarchy and its Hamiltonian structure ⋮ A new method to construct the integrable coupling system for discrete soliton equation with the Kronecker product ⋮ A new approach for generating the TX hierarchy as well as its integrable couplings ⋮ The generalized Kupershmidt deformation for the fifth-order coupled KdV equations hierarchy ⋮ A new multi-component discrete integrable hierarchy and multi-component cubic Volterra integrable hierarchy as well as their coupling systems ⋮ New form \((2+1)\)-dimensional integrable lattice hierarchies with two shift operators Ẽ and Ê ⋮ New block matrix spectral problem and Hamiltonian structure of the discrete integrable coupling system ⋮ A SIMPLE METHOD TO CONSTRUCT INTEGRABLE COUPLING SYSTEM FOR THE MKdV EQUATION HIERARCHY

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