Existence of standing waves for the complex Ginzburg–Landau equation
نویسندگان
چکیده
منابع مشابه
Concentrating Standing Waves for the Fractional Nonlinear Schrödinger Equation
We consider the semilinear equation ε(−∆)u+ V (x)u− u = 0, u > 0, u ∈ H(R ) where 0 < s < 1, 1 < p < N+2s N−2s , V (x) is a sufficiently smooth potential with infR V (x) > 0, and ε > 0 is a small number. Letting wλ be the radial ground state of (−∆)wλ +λwλ−w λ = 0 in H 2s(RN ), we build solutions of the form uε(x) ∼ k ∑ i=1 wλi ((x− ξ ε i )/ε), where λi = V (ξ ε i ) and the ξ ε i approach suita...
متن کاملExistence of traveling waves for the nonlocal Burgers equation
We study the equation ut + uux + u − K * u = 0 in the case of an arbitrary K ≥ 0, which is a generalization of a model for radiating gas, in which K(y) = 1 2 e −|y|. Using a monotone iteration scheme argument we establish the existence of traveling waves, which gives a solution to an open question raised by Denis Serre [1].
متن کاملNumerical results on existence and stability of standing and traveling waves for the fourth order beam equation
In this paper, we study numerically the existence and stability of some special solutions of the nonlinear beam equation: utt +uxxxx +u− |u|p−1u = 0 when p = 3 and p = 5. First we show the existence and the orbital stability of the standing wave solutions: u(x, t) = eφω(x). Next, we study the existence and linear stability of the traveling wave solutions: u(x, t) = φ(x + ct). For both types of ...
متن کاملOrbital Stability for Periodic Standing Waves of the Klein-gordon-zakharov System and the Beam Equation
The existence and stability of spatially periodic waves (eφω, ψω) in the KleinGordon-Zakharov (KGZ) system are studied. We show a local existence result for low regularity initial data. Then, we construct a one-parameter family of periodic dnoidal waves for (KGZ) system when the period is bigger than √ 2π. We show that these waves are stable whenever an appropriate function satisfies the standa...
متن کاملstudy of cohesive devices in the textbook of english for the students of apsychology by rastegarpour
this study investigates the cohesive devices used in the textbook of english for the students of psychology. the research questions and hypotheses in the present study are based on what frequency and distribution of grammatical and lexical cohesive devices are. then, to answer the questions all grammatical and lexical cohesive devices in reading comprehension passages from 6 units of 21units th...
ذخیره 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 Mathematical Analysis and Applications
سال: 2015
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2014.08.057