On a Nonlocal Ostrovsky-Whitham Type Dynamical System, Its Riemann Type Inhomogeneous Regularizations and Their Integrability

On a Nonlocal Ostrovsky-Whitham Type Dynamical System, Its Riemann Type Inhomogeneous Regularizations and Their Integrability

Short-wave perturbations in a relaxing medium, governed by a special reduction of the Ostrovsky evolution equation, and later derived by Whitham, are studied using the gradient-holonomic integrability algorithm. The bi-Hamiltonicity and complete integrability of the corresponding dynamical system is...

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Bibliographic Details
Main Authors: Jolanta Golenia, Maxim V. Pavlov, Ziemowit Popowicz, Anatoliy K. Prykarpatsky
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2010-01-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
generalized Riemann type hydrodynamical equations
Whitham type dynamical systems
Hamiltonian systems
Lax type integrability
gradient-holonomic algorithm
Online Access:http://dx.doi.org/10.3842/SIGMA.2010.002

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