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Title of Journal: Nonlinear Dyn

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Abbravation: Nonlinear Dynamics

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Springer Netherlands

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DOI

10.1007/s002030050599

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1573-269X

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Exact solutions for a perturbed nonlinear Schrödin

Authors: Hassan A Zedan E Aladrous S Shapll
Publish Date: 2013/09/12
Volume: 74, Issue: 4, Pages: 1145-1151
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Abstract

The Bäcklund transformation from the Riccati form of inverse method is presented for the Perturbed Nonlinear Schrödinger Equation Consequently the exact solutions for Perturbed Nonlinear Schrödinger equation can be obtained by the AKNS class The technique developed relies on the construction of the wave functions which are solutions of the associated AKNS that is a linear eigenvalues problem in the form of a system of PDE Moreover we construct a new soliton solution from the old one and its wave function

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