Hamiltonian formulation, nonintegrability and local bifurcations for the Ostrovsky equation
Abbreviated Journal Title
Chaos Solitons Fractals
PHASE-SENSITIVE AMPLIFIERS; SMALL PERIODIC-ORBITS; HOMOCLINIC ORBITS; EVOLUTION-EQUATIONS; REVERSIBLE-SYSTEMS; INTERNAL WAVES; ROTATING FLUID; OPTICAL FIBERS; SOLITARY WAVES; STABILITY; Mathematics, Interdisciplinary Applications; Physics, Multidisciplinary; Physics, Mathematical
The Ostrovsky equation is a model for gravity waves propagating down a channel under the influence of Coriolis force. This equation is a modification of the famous Korteweg-de Vries equation and is also Hamiltonian. However the Ostrovsky equation is not integrable and in this contribution we prove its nonintegrability. We also study local bifurcations of its solitary waves. (C) 2006 Elsevier Ltd. All rights reserved.
Chaos Solitons & Fractals
"Hamiltonian formulation, nonintegrability and local bifurcations for the Ostrovsky equation" (2007). Faculty Bibliography 2000s. 6958.