Comment on “New types of exact solutions for nonlinear Schrodinger equation with cubic nonlinearity”
نویسندگان
چکیده
منابع مشابه
Exact Solutions of a Non-Polynomially Nonlinear Schrodinger Equation
A nonlinear generalisation of Schrodinger’s equation had previously been obtained using information-theoretic arguments. The nonlinearities in that equation were of a nonpolynomial form, equivalent to the occurence of higher-derivative nonlinear terms at all orders. Here we construct some exact solutions to that equation in 1 + 1 dimensions. On the half-line, the solutions resemble exponentiall...
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A method is proposed for finding exact solutions of the nonlinear Schr~dinger equation. It uses an ansatz in which the real and imaginary parts of the unknown function are connected by a linear relation with coefficients that depend only on the time. The method consists of constructing a system of ordinary differential equations whose solutions determine solutions of the nonlinear Schr~dinger e...
متن کاملNew Exact Analytic Solutions for Stable and Unstable Nonlinear Schrödinger Equations with a Cubic Nonlinearity
The Exp-Function method is used for constructing new exact analytic solutions of stable and unstable nonlinear Schrödinger (SNLS and UNLS) equations with a cubic nonlinearity. The obtained solutions has not appeared in literature as far as we know. It is shown that many previous known results can be recovered as special cases of our results. Mathematics Subject Classification: 35C07, 35G20, 35Q55
متن کاملSome New Exact Travelling Wave Solutions of the Cubic Nonlinear Schrodinger Equation using the ( ) ) ( ( Exp ) - Expansion Method
The nonlinear physical model such as the cubic nonlinear Schrodinger equation has been applied in many branches of physics. In this paper, the )) ( exp( expansion method is applied to evaluate new exact travelling wave solutions of the complex Schrodinger equation with cubic nonlinearity. Various solutions of the cubic nonlinear Schrodinger equation using this method provide us the firm m...
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We study the flow map associated to the cubic Schrödinger equation in space dimension at least three. We consider initial data of arbitrary size in Hs, where 0 < s < sc, sc the critical index, and perturbations in Hσ , where σ < sc is independent of s. We show an instability mechanism in some Sobolev spaces of order smaller than s. The analysis relies on two features of super-critical geometric...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2011
ISSN: 0377-0427
DOI: 10.1016/j.cam.2011.02.028