Temporal evolutions and stationary waves for dissipative Benjamin-Ono equation

DOI10.1016/S0167-2789(99)00227-4zbMath0953.35124OpenAlexW2046461377WikidataQ126812447 ScholiaQ126812447MaRDI QIDQ1582063

Bao-Feng Feng, Takuji Kawahara

Publication date: 10 October 2000

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

Full work available at URL: https://doi.org/10.1016/s0167-2789(99)00227-4

zbMATH Keywords

stabilitydissipative Benjamin-Ono equationmulti-hump stationary waves

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05)

Related Items (4)

On a perturbation of the Benjamin-Ono equation ⋮ Sharp well-posedness for the Chen-Lee equation ⋮ A new extended homotopy perturbation method for nonlinear differential equations ⋮ TEMPORAL EVOLUTIONS AND STATIONARY WAVES FOR PERTURBED KDV EQUATION WITH NONLOCAL TERM

Cites Work

• Computation of homoclinic solutions to periodic orbits in a reduced water-wave problem
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• Implicit spectral methods for wave propagation problems
• Laminarizing effects of dispersion in an active-dissipative nonlinear medium
• Stationary travelling-wave solutions of an unstable KdV-Burgers equation
• Multi-hump stationary waves for a Korteweg-de Vries equation with nonlocal perturbations
• A turbulence model with stochastic soliton motion
• Unnamed Item

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