Spatially discrete Boussinesq equation: integrability, Darboux transformation, exact solutions and continuum limit

DOI10.1088/1361-6544/ac15abzbMath1476.37087OpenAlexW3190415849MaRDI QIDQ5005421

Tong Zhou, Hai-Qiong Zhao

Publication date: 10 August 2021

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6544/ac15ab

zbMATH Keywords

continuum limitBoussinesq equationintegrabilityDarboux transformationspatially discrete

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) Partial difference equations (39A14) Integrable difference and lattice equations; integrability tests (39A36)

Related Items (2)

Darboux transformation and exact solutions of the variable coefficient nonlocal Newell-Whitehead equation ⋮ Rogue waves and breathers of the derivative Yajima-Oikawa long wave-short wave equations on theta-function backgrounds

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