Exact solitary wave solution for higher order nonlinear Schrodinger equation using He’s variational iteration method

Monika Rani; Harbax S. Bhatti; Vikramjeet Singh

doi:10.1117/1.OE.56.11.116103

6 November 2017 Exact solitary wave solution for higher order nonlinear Schrodinger equation using He’s variational iteration method

Monika Rani, Harbax S. Bhatti, Vikramjeet Singh

Author Affiliations +

Optical Engineering, Vol. 56, Issue 11, 116103 (November 2017). https://doi.org/10.1117/1.OE.56.11.116103

Abstract

In optical communication, the behavior of the ultrashort pulses of optical solitons can be described through nonlinear Schrodinger equation. This partial differential equation is widely used to contemplate a number of physically important phenomena, including optical shock waves, laser and plasma physics, quantum mechanics, elastic media, etc. The exact analytical solution of ( 1+n)-dimensional higher order nonlinear Schrodinger equation by He’s variational iteration method has been presented. Our proposed solutions are very helpful in studying the solitary wave phenomena and ensure rapid convergent series and avoid round off errors. Different examples with graphical representations have been given to justify the capability of the method.

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Monika Rani, Harbax S. Bhatti, and Vikramjeet Singh "Exact solitary wave solution for higher order nonlinear Schrodinger equation using He’s variational iteration method," Optical Engineering 56(11), 116103 (6 November 2017). https://doi.org/10.1117/1.OE.56.11.116103

Received: 22 September 2017; Accepted: 10 October 2017; Published: 6 November 2017

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