A new solitary wave solution of the perturbed nonlinear Schrodinger equation using a Riccati-Bernoulli Sub-ODE method | Zendy

S M Shehata Maha | Zendy

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A new solitary wave solution of the perturbed nonlinear Schrodinger equation using a Riccati-Bernoulli Sub-ODE method

Author(s) -

S M Shehata Maha

Publication year - 2016

Publication title -

international journal of the physical sciences

Language(s) - English

Resource type - Journals

ISSN - 1992-1950

DOI - 10.5897/ijps2015.4442

Subject(s) - ode , riccati equation , bernoulli's principle , nonlinear system , nonlinear schrödinger equation , transformation (genetics) , mathematics , mathematical analysis , schrödinger equation , physics , quantum mechanics , partial differential equation , biochemistry , chemistry , gene , thermodynamics

The Riccati-Bernoulli Sub-ODE method is used for the first time to investigate exact wave solution of the perturbed nonlinear Schrodinger equation with Kerr law non linearity which describes the propagation of optical solitons in nonlinear optical fibers that exhibits a Kerr law non linearity. An infinite sequence of exact solutions can be obtained according to Backlund transformation. The proposed method also can be used for many other nonlinear evolution equations.

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