Magnetohydrodynamic WavesPlasma PhysicsSolitary WavesElectric FieldsKinetic TheoryKlein-Gordon EquationMagnetic FieldsNonlinear EquationsWave EquationsThe stability of the solitary kinetic Alfvén wave is investigated. In the one-dimensional fully nonlinear case the wave is shown to be stable against ...
By a “solitary wave” we mean a solution the time development of which is given exactly by the one-parameter group. We find sharp conditions for the stability and instability of solitary waves. Applications are given to bound states and traveling waves of nonlinear PDEs such Klein-Gordon and...
By combining results of Mizumachi on the stability of solitons for the Toda lattice with a simple rescaling and a careful control of the KdV limit we give a simple proof that small amplitude, long-wavelength solitary waves in the Fermi-Pasta-Ulam (FPU) m
Stability of solitary waves in dispersive media described by a fifth- order evolution equation The problem of the existence and dynamical stability of solitary wave solutions to a fifth-order evolution equation, generalizing the well- known Korteweg-de Vries equation, is treated. The theoretical frame...
摘要: The stability of the solitary kinetic Alfvén wave is investigated. In the one-dimensional fully nonlinear case the wave is shown to be stable against perturbations in the amplitudes.关键词: Magnetohydrodynamic Stability Magnetohydrodynamic Waves Plasma Physics Solitary Waves Electric Fields Kinetic...
(1987) Stability Theory of Solitary Waves in the Presence of Symmetry, I* MANOUSNIS GRILLAKIS' Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912 JALAL SHATAH Courant Institute, New York, New York 10012 AND WALTER STRAUSS Department of Mathematics, Brown University, ...
Internal solitary waves (ISWs) are a common nonlinear, large-amplitude fluctuation phenomenon which is widely present in densely stratified oceans and can induce the shear state of the seawater flow above and below the wave surface during the propagation
Constructive proofs of existence and stability of solitary waves in the Whitham and capillary-gravity Whitham equations 2025, Nonlinearity On the existence of non-flat profiles for a Bernoulli free boundary problem 2022, Advances in Calculus of Variations Pressure Transfer Functions for Interfacial Fluids...
On the stability of solitary waves for the Ostrovsky equation Considered herein is the stability of solitary-wave solutions of the Ostrovsky equation which is an adaptation of the Korteweg-de Vries equation widely use... Y Liu - 《Quart.appl.math》...
The Stability of Solitary Waves The Korteweg-de Vries equation, which describes the unidirectional propagation of long waves in a wide class of nonlinear dispersive systems, is well known... TB Benjamin - 《Proceedings of the Royal Society A Mathematical Physical & Engineering Sciences》 被引量: ...