منابع مشابه
Convergence conditions for iterative methods seeking multi-component solitary waves with prescribed quadratic conserved quantities
We obtain linearized (i.e., non-global) convergence conditions for iterative methods that seek solitary waves with prescribed values of quadratic conserved quantities of multicomponent Hamiltonian nonlinear wave equations. These conditions extend the ones found for single-component solitary waves in a recent publication by J. Yang and the present author. We also show that, and why, these conver...
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In this paper, we consider two types of solutions of the rotation-two-component Camassa-Holm (R2CH) system, a model in the equatorial water waves with the effect of the Coriolis force. The first type of solutions exhibits finite time singularity in the sense of wave-breaking. We perform a refined analysis based on the local structure of the dynamics to provide some criteria that leads to the bl...
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We consider the nonlinear Klein-Gordon equation in R. We call multi-solitary waves a solution behaving at large time as a sum of boosted standing waves. Our main result is the existence of such multi-solitary waves, provided the composing boosted standing waves are stable. It is obtained by solving the equation backward in time around a sequence of approximate multisolitary waves and showing co...
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ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 2000
ISSN: 0378-4371
DOI: 10.1016/s0378-4371(00)00420-9