Solitary and periodic waves of a new kind

DOI10.1098/rsta.1996.0078zbMath0862.76010OpenAlexW2008060304MaRDI QIDQ4887505

Brooke Benjamin

Publication date: 5 August 1996

Published in: Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rsta.1996.0078

zbMATH Keywords

stabilityexistenceasymptotic propertiesparametertwo-fluid systemnonlinear dispersive waveslinear symmetric operator

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25)

Related Items (18)

Linear-implicit and energy-preserving schemes for the Benjamin-type equations ⋮ A Newton-type approach to approximate travelling wave solutions of a Schrödinger-Benjamin-Ono system ⋮ Energy-preserving algorithms for the Benjamin equation ⋮ Control and stabilization for the dispersion generalized Benjamin equation on the circle ⋮ Numerical approximation to Benjamin type equations. Generation and stability of solitary waves ⋮ On a model for internal waves in rotating fluids ⋮ Benjamin-Ono and Intermediate Long Wave Equations: Modeling, IST and PDE ⋮ Unusual bifurcation of a Neumann boundary value problem ⋮ Analysis of Malmquist-Takenaka-Christov rational approximations with applications to the nonlinear Benjamin equation ⋮ A new application of the Korteweg–de Vries Benjamin-Ono equation in interfacial electrohydrodynamics ⋮ Bifurcation of positive solutions for a Neumann boundary value problem ⋮ Petviashvili type methods for traveling wave computations. II: Acceleration with vector extrapolation methods ⋮ Numerical approximation of solitary waves of the Benjamin equation ⋮ Solving nonlinear non-local problems using positive square-root operators ⋮ Petviashvili type methods for traveling wave computations. I: Analysis of convergence ⋮ Gevrey regularity for a class of water-wave models ⋮ Existence and stability of solitary wave solutions of the Benjamin equation ⋮ Nonlinear dispersive equations: classical and new frameworks

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