New travelling wave solutions of the (1 + 1)-dimensional cubic nonlinear Schrodinger equation using novel (G′/G)-expansion method

M.G. Hafez
2016 Beni-Suef University Journal of Basic and Applied Sciences  
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
more » ... n physics or any varied instances. Furthermore, three-dimensional modules plot of the solutions are also given to visualize the dynamics of the equation. © 2016 Beni-Suef University. Production and hosting by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/bync-nd/4.0/). Keywords: The novel (G′/G)-expansion method Cubic nonlinear Schrodinger equation Travelling wave solutions Solitary wave solutions Soliton solutions
doi:10.1016/j.bjbas.2016.03.003 fatcat:kd7l26dsdraadprbmvqd6o4bba