Abstract
This research obtains some new optical soliton solutions with beta derivative for Chen-Lee-Liu equation (CLL) in optical fibers. Three integration schemes which are Ricatti-Bernoulli (RB) sub-ODE, generalized Bernoulli (GB) sub-ODE and generalized tanh (GT) methods are applied to reach such solutions. The constraints conditions for the existence of soliton solutions are reported. The solutions are obtained using newly introduced fractional derivative called beta derivative. Numerical simulations of some of the obtained solutions are illustrated.
Highlights
Nonlinearity has been very attractive area of study whose vitality have been thought of by considering a heavy-amplitude wave motions determined in several areas starting from fluids and plasmas to solid state, chemical biological systems among others
Several studies on soliton and other results for the multiple traveling wave solutions of nonlinear partial differential equations can be seen in Miller and Ross [2], Podlubny [3], Oldham and Spanier [4], and Kiryakova [5]
The generalized Bernoulli (GB) Sub-ODE scheme provided dark and singular optical solitons reported in Equations (35) and (36), respectively
Summary
Nonlinearity has been very attractive area of study whose vitality have been thought of by considering a heavy-amplitude wave motions determined in several areas starting from fluids and plasmas to solid state, chemical biological systems among others. Solitons have been one of the most mesmerizing viewpoint in nonlinear phisical aspect. A philosophical balance of nonlinearity and dispersion are the major essence for the presence of solitonic concept [1]. Several studies on soliton and other results for the multiple traveling wave solutions of nonlinear partial differential equations can be seen in Miller and Ross [2], Podlubny [3], Oldham and Spanier [4], and Kiryakova [5]. Optical solitons has brought about mathematical insight and innovation of the various mechanism for their analytical and numerical solutions [7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23]
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