Haar wavelets multi-resolution collocation procedures for two-dimensional nonlinear Schrödinger equation
نویسندگان
چکیده
منابع مشابه
Instabilities in the two-dimensional cubic nonlinear Schrödinger equation.
The two-dimensional cubic nonlinear Schrödinger equation (NLS) can be used as a model of phenomena in physical systems ranging from waves on deep water to pulses in optical fibers. In this paper, we establish that every one-dimensional traveling wave solution of NLS with linear phase is unstable with respect to some infinitesimal perturbation with two-dimensional structure. If the coefficients ...
متن کاملNumerical solution for one-dimensional independent of time Schrödinger Equation
In this paper, one of the numerical solution method of one- particle, one dimensional timeindependentSchrodinger equation are presented that allows one to obtain accurate bound state eigenvalues and functions for an arbitrary potential energy function V(x).For each case, we draw eigen functions versus the related reduced variable for the correspondingenergies. The paper ended with a comparison ...
متن کاملSolving PDEs with the aid of two-dimensional Haar wavelets
In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: a b s t r a c t Two-dimensional Haar wavelets are applied for solution of the partial differential equations (PDEs). The pro...
متن کاملRogue waves in the two dimensional nonlocal nonlinear Schrödinger equation and nonlocal Klein-Gordon equation
In this paper, we investigate two types of nonlocal soliton equations with the parity-time (PT) symmetry, namely, a two dimensional nonlocal nonlinear Schrödinger (NLS) equation and a coupled nonlocal Klein-Gordon equation. Solitons and periodic line waves as exact solutions of these two nonlocal equations are derived by employing the Hirota's bilinear method. Like the nonlocal NLS equation, th...
متن کاملMulti - barrier resonant tunneling for the one – dimensional nonlinear Schrödinger Equation
For the stationary one-dimensional nonlinear Schrödinger equation (or Gross-Pitaevskii equation) nonlinear resonant transmission through a finite number of equidistant identical barriers is studied using a (semi–) analytical approach. In addition to the occurrence of bistable transmission peaks known from nonlinear resonant transmission through a single quantum well (respectively a double barri...
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: Alexandria Engineering Journal
سال: 2021
ISSN: 1110-0168
DOI: 10.1016/j.aej.2021.01.033