Nonlinear analysis of instability produced by linear mode coupling

DOI10.1016/S0167-2789(97)00189-9zbMath0962.76528MaRDI QIDQ1963412

Boris A. Malomed, Jianming He, R. H. J. Grimshaw

Publication date: 1 February 2000

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

resonancewave collapsemodulational stabilitysideband instabilitiescollapse conditioncubic nonlinear termslinear instability bandlong-wave modulational instability

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Interfacial stability and instability in hydrodynamic stability (76E17)

Related Items (1)

Dissipative effects in a nonlinear wave system with an unstable linear spectrum

Cites Work

• Unnamed Item
• Soliton phenomena in unstable media
• The Evolution in Space and Time of Nonlinear Waves in Parallel Shear Flows
• New type of gap soliton in a coupled Korteweg–de Vries wave system
• Resonant gravity-wave interactions in a shear flow

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