The gradient-holonomic integrability analysis of a Whitham-type nonlinear dynamical model for a relaxing medium with spatial memory

DOI10.1088/0951-7715/19/9/007zbMath1104.37045OpenAlexW2074807975MaRDI QIDQ3412483

Anatoliy K. Prykarpatsky, Mykola M. Prytula

Publication date: 6 December 2006

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/19/9/007

zbMATH Keywords

complete integrability dispersive conservation laws infinite hierarchy invariant reductions short-wave perturbations bi-Hamiltonicity gradient-holonomic analysis Whitham-type nonlinear evolution equation

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 methods in ordinary differential equations (34A26)

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