Unexpected configurations for the optical solitons propagation in lossy fiber system with dispersion terms effect

Abstract

In this work, we will design unexpected configurations for the optical soliton propagation in lossy fiber system in the presence of the dispersion term solitons via two distinct and impressive techniques. The first one is the (G 0 /G)expansion method, while the second is solitary wave ansatze method. The two methods are implemented in the same vein and parallel. The obtained perceptions are new and were not achieved before. The comparison between our achieved visions and that achieved by other authors who used different schemas has been documented.the (G 0 /G)-expansion method, the lossy fiber system under dispersion terms influence, the optical soliton solutions, the solitary wave ansatze method

Exploration of interactional phenomena and multi‐wave solutions of the fractional‐order dual‐mode nonlinear Schrödinger equation

“…Over the past few years, several efficient analytical techniques for NLEEs have been suggested as the residual power series method [13], Kudryashov's method [14], stability analysis [15], extended $$$ \left({G}^{\prime }/G\right) $$$‐expansion method [16], generalized $$$ \left({G}^{\prime }/G\right) $$$‐expansion method [17], Sardar sub‐equation method [18], advanced exp $$$ \left(-\varphi \left(\xi \right)\right) $$$‐expansion method [19], modified extended tanh‐function method [20], modified Khater method [21], Lie symmetry analysis [22, 23], conservation laws [24], improved Hirota bilinear method [25], generalized exponential rational function method [26, 27], rational sine‐Gordon expansion method [28], extended sinh‐Gordon equation expansion method [29], Adomian decomposition method [30], solitary wave anzatze method [31], $$$ {\exp}_{\alpha } $$$ function method [32], new extended direct algebraic method (NEDAM) [33], extended simple equation method (ESEM) [34], direct algebraic method [35], two‐variable $$$ \left({G}^{\prime }/G;1/G\right) $$$‐expansion approach [36], solitary wave solutions [37], exponential rational function method [38], auxiliary equation mapping method [39], …”