Recurrence and chaotic behavior resulting from nonlinear interaction between long and short waves

DOI10.1063/1.857866zbMath0718.76038OpenAlexW1970776467MaRDI QIDQ5750579

Tsunehiko Kakutani, Mamoru Wakamiya, Takao Yoshinaga

Publication date: 1991

Published in: Physics of Fluids A: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.857866

zbMATH Keywords

chaotic motioncontrol parameterslong and short wavesFourier expansion methodLong time asymptotic behavior

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Stochastic analysis applied to problems in fluid mechanics (76M35) Waves for incompressible viscous fluids (76D33)

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Cites Work

• Formation and Interaction of Sonic-Langmuir Solitons: Inverse Scattering Method
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• The Modulation of an Internal Gravity-Wave Packet, and the Resonance with the Mean Motion
• Some solutions pertaining to the resonant interaction of long and short waves
• Recurrence of initial state of the Korteweg–de Vries equation