A new integrable lattice hierarchy associated with a discrete \(3\times 3\) matrix spectral problem: \(N\)-fold Darboux transformation and explicit solutions

DOI10.1016/S0034-4877(13)60019-1zbMath1386.37075OpenAlexW2062582311MaRDI QIDQ362086

Xiao-Yong Wen

Publication date: 20 August 2013

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0034487713600191

zbMATH Keywords

explicit solutionssymbolic computation\(N\)-fold Darboux transformationinelastic interactiondiscrete \(3\times 3\) 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) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Lattice dynamics; integrable lattice equations (37K60)

Related Items (5)

\(N\)-fold Darboux transformation and soliton solutions for the relativistic Toda lattice equation ⋮ A vector generalization of Volterra type differential-difference equations ⋮ Symmetry reductions of a nonisospectral Lax pair for a \((2+1)\)-dimensional breaking soliton system ⋮ Dynamics of higher‐order rational and semi‐rational soliton solutions of the coupled modified KdV lattice equation ⋮ Bilinearization and new soliton solutions of Whitham-Broer-Kaup equations with time-dependent coefficients

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