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 finite amplitude, two-dimensional solitary waves of permanent form in water of uniform depth with respect to two-dimensional infinitesimal disturbances is investigated. It is numerically confirmed that the recent analytical results obtained by Saffman for the 'superharmonic' instability of...
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 ...
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 ...
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...
L.: Hamiltonian dynamics of an elastica and the stability of solitary waves; preprint. Maddocks, J. H., Dichmann, D. J.: Conservation laws in the dynamics of rods. J. Elasticity34, 83–96 (1994). Google Scholar Coleman, B. D., Dill, E. H., Lembo, M., Lu, Z., Tobias, I...
Improvements are made on the theory for the stability of solitary waves developed by T. B. Benjamin. The results apply equally to the Kortewegde Vries equa... J.,Bona - 《Proceedings of the Royal Society A Mathematical Physical & Engineering Sciences》 被引量: 369发表: 1975年 Non-generic ...
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...
We found large-amplitude nonlinear internal solitary waves at the end of April and they propagated to the southwest paralleling with the isobaths in this area. They probably resulted from the local shelf break and were rarely observed in SAR data. 展开 ...
On the stability of submerged rigid breakwaters against solitary waves Coast. Eng., 177 (2022), Article 104196 1-22 View PDFView articleView in ScopusGoogle Scholar Aristodemo et al., 2022 Aristodemo F., Filianoti P., Tripepi G., Gurnari L., Ghaderi A. On the energy transmission by a...