Stability of multi-solitons in the cubic NLS equation
نویسندگان
چکیده
منابع مشابه
On the stability of the Pexiderized cubic functional equation in multi-normed spaces
In this paper, we investigate the Hyers-Ulam stability of the orthogonally cubic equation and Pexiderized cubic equation [f(kx+y)+f(kx-y)=g(x+y)+g(x-y)+frac{2}{k}g(kx)-2g(x),]in multi-normed spaces by the direct method and the fixed point method. Moreover, we prove the Hyers-Ulam stability of the $2$-variables cubic equation [ f(2x+y,2z+t)+f(2x-y,2z-t) =2...
متن کاملApproximation of Solitons in the Discrete NLS Equation
We study four different approximations for finding the profile of discrete solitons in the one-dimensional Discrete Nonlinear Schrödinger (DNLS) Equation. Three of them are discrete approximations (namely, a variational approach, an approximation to homoclinic orbits and a Green-function approach), and the other one is a quasi-continuum approximation. All the results are compared with numerical...
متن کاملOrbital stability in the cubic defocusing NLS equation: I. Cnoidal periodic waves
Periodic waves of the one-dimensional cubic defocusing NLS equation are considered. Using tools from integrability theory, these waves have been shown in [4] to be linearly stable and the Floquet–Bloch spectrum of the linearized operator has been explicitly computed. We combine here the first four conserved quantities of the NLS equation to give a direct proof that cnoidal periodic waves are or...
متن کاملStability of spinning ring solitons of the cubic-quintic nonlinear Schrödinger equation
We investigate stability of (2+1)-dimensional ring solitons of the nonlinear Schrödinger equation with focusing cubic and defocusing quintic nonlinearities. Computing eigenvalues of the linearised equation, we show that rings with spin (topological charge) s = 1 and s = 2 are linearly stable, provided that they are very broad. The stability regions occupy, respectively, 9% and 8% of the corresp...
متن کاملAsymptotic Stability of Small Solitons to 1d Nls with Potential
We consider asymptotic stability of a small solitary wave to supercritical 1-dimensional nonlinear Schrödinger equations iut + uxx = V u ± |u| u for (x, t) ∈ R × R, in the energy class. This problem was studied by Gustafson-Nakanishi-Tsai [16] in the 3-dimensional case using the endpoint Strichartz estimate. To prove asymptotic stability of solitary waves, we need to show that a dispersive part...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Hyperbolic Differential Equations
سال: 2014
ISSN: 0219-8916,1793-6993
DOI: 10.1142/s0219891614500106