Ohta, Stability and instability of standing waves for one-dimensional nonlinear Schrödinger equations with double power nonlinearity, Kodai Math.. Ohta, Stability and instability

Instability of the solitary wave solutions for the generalized derivative nonlinear Schrödinger equation in the critical frequency case. Well-posedness for a generalized

— Nonlinear Schrödinger equation, Benjamin-Ono equation, derivative nonlinear Schrödinger equation, half-wave equation, random data, Gibbs measure, weak solutions, global solutions..

Bases anatomiques de La chirurgie dermatologique et des techniques d’injections de la face. § Région frontale et glabellaire : muscles corrugator et

Keywords: nonlinear Schrödinger equation, Benjamin–Ono equation, derivative non- linear Schrödinger equation, half-wave equation, Szegő equation, random data, Gibbs measure,

Under some hypothesis on the structure of the spectrum of the linearized operator, we prove that, asymptotically in time, the solution decomposes into a solitary wave with

Let us mention that our results only apply to the solitary wave solutions which we obtain from the solitary waves of the nonlinear Schrödinger equation in the nonrelativistic limit

Fortunato, Solitary waves of the nonlinear Klein–Gordon equation coupled with the Maxwell equations, Rev.. Coclite, A multiplicity result for the Schrödinger–Maxwell

We point out that Martel, Merle and Tsai [11] have proved stability results for the sum of several solitary waves of nonlinear Schrödinger equations, which imply stability of the

The nonlinear Schr¨ odinger equation with derivative cubic nonlin- earity admits a family of solitons, which are orbitally stable in the energy space.. In this work, we prove

Cassani, Existence and non-existence of solitary waves for the criti- cal Klein-Gordon equation coupled with Maxwell’s equations, Nonlinear Anal.. Colin, Stability of stationary

In fact, for values of the parameters in region A, the level of the nontrivial solution is higher than the level of the trivial solutions (φ, 0) and (0, ψ ).. Hence, such

We consider the problem of existence and stability of solitary traveling waves for the one dimen- sional discrete non linear Schrödinger equation (DNLS) with cubic nonlinearity,

The rst part of this work is devoted to the analysis of orbital and asymptotic stability of the solitary waves of a Schrödinger equation with concentrated nonlinearity in

Nonlinear Schrödinger equations, standing waves, orbital stability, instability, blow-up, variational methods..

Lions, Orbital stability of standing waves for some nonlinear Schrödinger equations, Comm.. Tsutsumi, On coupled Klein–Gordon–Schrödinger equations

2 Orbitally stable standing waves of a mixed dispersion nonlinear Schrödinger equation 37 2.1

We study the derivative nonlinear Schr¨odinger equation on the real line and obtain global-in- time bounds on high order Sobolev norms.. More detailed overviews can be found,