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Breather and solitons waves in optical fibers via exponential time differencing method
Journal article   Peer reviewed

Breather and solitons waves in optical fibers via exponential time differencing method

Hala A. Ashi and Noufe H. Aljahdaly
Communications in nonlinear science & numerical simulation, Vol.85, p.105237
06/2020

Abstract

Akhmediev breather Exponential time differencing method Kuznetsov-Ma soliton Nonlinear Schrödinger equation Peregrine soliton
This work proposes the numerical solutions of the cubic nonlinear Schrödinger equation subjected to rational initial value for three cases, (i) Akhmediev breather (ii) Peregrine and (iii) Kuznetsov-Ma solitons by operating exponential time differencing method (ETDM). The work shows that ETDM is a reliable and accurate method to find the solutions comparing to Adomian decomposition method (ADM) and Laplace-Adomian decomposition method (LADM).

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