On Kupershmidt's extended equation of dispersive water waves

DOI10.1016/j.aml.2019.01.012zbMath1412.35074OpenAlexW2909252628WikidataQ128583428 ScholiaQ128583428MaRDI QIDQ1739417

Chen Chen, Kai Tian, Bin-Fang Gao, Qing-Ping Liu

Publication date: 26 April 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.01.012

zbMATH Keywords

recursion operatorCamassa-Holm equationMiura-type transformationlinear spectral problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) General topics in linear spectral theory for PDEs (35P05) Initial value problems for systems of nonlinear higher-order PDEs (35G55)

Related Items (1)

Nonlocal residual symmetries and exact interaction solutions for the generalized dispersive water waves system

Cites Work

• Hamiltonian structures and their reciprocal transformations for the \(r\)-KdV-CH hierarchy
• Factorisation of energy dependent Schrödinger operators: Miura maps and modified systems
• Coupled KdV equations with multi-Hamiltonian structures
• On two-current realization of KP hierarchy
• Mathematics of dispersive water waves
• A Higher-Order Water-Wave Equation and the Method for Solving It
• Extended Equations of Long Waves
• On the use of isospectral eigenvalue problems for obtaining hereditary symmetries for Hamiltonian systems
• Approximate equations for long water waves
• MATRIX MODELS WITHOUT SCALING LIMIT

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