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

DOI10.1016/S0167-2789(99)00049-4zbMath0949.76013MaRDI QIDQ1809208

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

Publication date: 25 November 1999

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

zbMATH Keywords

spatio-temporal chaosmodulational instabilitycollapse-free situationinteraction of two resonantly coupled wavessymmetric friction

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Soliton equations (35Q51)

Cites Work

• Unnamed Item
• Nonlinear analysis of instability produced by linear mode coupling
• Wave Interactions and Fluid Flows
• New type of gap soliton in a coupled Korteweg–de Vries wave system
• Pattern formation outside of equilibrium

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