A new class of solutions for the multi-component extended Harry Dym equation

DOI10.1016/j.wavemoti.2017.07.007OpenAlexW2964211181MaRDI QIDQ2190431

Michal Marvan, Maxim P. Pavlov

Publication date: 18 June 2020

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.01792

zbMATH Keywords

Lax pairhigh-frequency limitinvertible point transformationmulti-phase solutionsHarry Dym

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (2)

Reciprocal transformations of Harry-Dym hierarchy ⋮ Compacton solutions and (non)integrability of nonlinear evolutionary PDEs associated with a chain of prestressed granules

Cites Work

• Coupled KdV equations with multi-Hamiltonian structures
• Inverse problem for periodic finite-zoned potentials in the theory of scattering
• Periodic problems for the Korteweg-de Vries equation in the class of finite band potentials
• Integrable dispersive chains and energy dependent Schrödinger operator
• Coupled Harry Dym equations with multi-Hamiltonian structures
• Transformations for the Camassa-Holm Equation, Its High-Frequency Limit and the Sinh-Gordon Equation

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