Solitary wavesorbital stabilitylong wave equationsWe provide a sufficient condition for the orbital stability of negative solitary-wave solutions of the regularized long-wave equation. In particular, it is found that solitary waves with speed $ c < - \tfrac{1} {6} $ c < - \tfrac{1} {6}...
The Stability of Solitary Waves 喜欢 0 阅读量: 120 作者: TB Benjamin 摘要: The Korteweg-de Vries equation, which describes the unidirectional propagation of long waves in a wide class of nonlinear dispersive systems, is well known to have solutions representing solitary waves. The present ...
Such solitary waves are nonlinearly stable in the sense that if a solution is initially close to the set of such solitary waves, it remains close to the set for all time in the natural norm. 关键词: The Cauchy problem and the stability of solitary waves of a hyperelastic dispersive ...
The author investigates the stability of solitary waves in the system of Schrödinger-KdV type, in which n is real valued while ε is a complex function iε t +ε xx -nε=0,n t +n x +β(n 2 ) x +αn xxx =-|ε| 2 x · The solitary waves are sought in the fo...
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...
Noun1.solitary wave- (physics) a quantum of energy or quasiparticle that can be propagated as a traveling wave in nonlinear systems and is neither preceded nor followed by another such disturbance; does not obey the superposition principle and does not dissipate; "soliton waves can travel long ...
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: ...
Noun1.solitary wave- (physics) a quantum of energy or quasiparticle that can be propagated as a traveling wave in nonlinear systems and is neither preceded nor followed by another such disturbance; does not obey the superposition principle and does not dissipate; "soliton waves can travel long ...
In this paper, explicit and exact solitary wave solutions to the BBM type equation are obtained by the direct method, and the stability of solitary wave with a infinitesimal perturbation are investigated. It is shown that solitary wave for the BBM type equation is unstable in the Lyaqunov sens...
For the discrete lattice, the equations of motion for the atoms are solved numerically using a computer-molecular-dynamic technique and, from their solution, the stability of the waves investigated. It is pointed out that the solitary waves are fairly stable to longitudinal planar oscillations, ...