Symmetries and conservation laws for the Karczewska-Rozmej-Rutkowski-Infeld equation

DOI10.1016/j.nonrwa.2016.03.010zbMath1382.35014arXiv1511.03975OpenAlexW2248369578WikidataQ57555674 ScholiaQ57555674MaRDI QIDQ2630046

Artur Sergyeyev, Raffaele Vitolo

Publication date: 8 July 2016

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.03975

zbMATH Keywords

conservation lawsintegrable systemssymmetriesshallow water wavesKarczewska-Rozmej-Rutkowski-Infeld equationvariable depth channel

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (7)

A simple construction of recursion operators for multidimensional dispersionless integrable systems ⋮ Formal integrals and Noether operators of nonlinear hyperbolic partial differential systems admitting a rich set of symmetries ⋮ Symmetries and conservation laws for a generalization of Kawahara equation ⋮ Adiabatic invariants of the extended KdV equation ⋮ Complete classification of local conservation laws for generalized Cahn–Hilliard–Kuramoto–Sivashinsky equation ⋮ Compacton solutions and (non)integrability of nonlinear evolutionary PDEs associated with a chain of prestressed granules ⋮ Symmetry nonintegrability for extended \(K(m, n, p)\) equation

Uses Software

• CDE
• Jets

Cites Work

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