Open AccessNew travelling wave solutions of the (1 + 1)-dimensional cubic nonlinear Schrodinger equation using novel (G′/G)-expansion method
Author(s) -
M. G. Hafez
Publication year - 2016
Publication title -
beni-seuf university journal of basic and applied sciences /beni-suef university journal of basic and applied sciences
Language(s) - English
Resource type - Journals
eISSN - 2314-8543
pISSN - 2314-8535
DOI - 10.1016/j.bjbas.2016.03.003
Subject(s) - soliton , nonlinear schrödinger equation , physics , nonlinear system , schrödinger equation , traveling wave , mathematical analysis , classical mechanics , mathematics , quantum mechanics
In this paper, the novel (G′/G)-expansion method is applied to construct exact travelling wave solutions of the cubic nonlinear Schrodinger equation. This technique is straightforward and simple to use, and gives more new general solutions than the other existing methods. Various types of solitary and periodic wave solutions of this equation are derived. The obtained results may be helpful to describe the wave propagation in soliton physics, such as soliton propagation in optical fibers, modulus instability in plasma physics, etc. and provided us the firm mathematical foundation in soliton physics or any varied instances. Furthermore, three-dimensional modules plot of the solutions are also given to visualize the dynamics of the equation