Solitons for perturbed Gerdjikov–Ivanov equation in optical fibers and PCF by extended Kudryashov’s method

Optical Soliton Solutions to Gerdjikov-Ivanov Equation Without Four-Wave Mixing Terms in Birefringent Fibers by Extended Trial Function Scheme

“…The (GI) equation (Arshed, 2018;Arshed et al, 2018;Biswas, Ekici, Sonmezoglu, Majid, et al, 2018;Biswas, Yildirim, Yasar, Triki, et al, 2018b, 2018aBiswas, Yıldırım, et al, 2018;Jawad et al, 2018;Yildirim, 2019dYildirim, , 2019bYildirim, , 2019c…”

“…The Gerdjikov-Ivanov (GI) model without four-wave mixing terms (FWM) is one of the varieties of models that study the dynamics of optical soliton propagation for transmission technology, the transcontinental and transoceanic distances, optical fibers, data transmission, and the telecommunications industry. This model has been studied for polarization-preserving fibers along with strategic algorithms such as modified simple equation scheme, the csch method, the extended tanh − coth method, 𝐺 ′ 𝐺 2 -expansion method, sine-cosine method, trial, and the extended trial equation method, trial equation integration architecture, extended Kudryashov's method, and the exp(−(𝜙))expansion method (Arshed, 2018;Arshed et al, 2018;Biswas, Ekici, Sonmezoglu, Majid, et al, 2018;Biswas, Yildirim, Yasar, Triki, et al, 2018a, 2018bBiswas, Yıldırım, et al, 2018;Ekici et al,2017;Jawad et al,2018;Kadkhoda, N.;Jafari, 2016;Yildirim, 2019dYildirim, , 2019aYildirim, , 2019bYildirim, , 2019c and the extended simplest equation method (Hassan & Altwaty, 2020). Although there are many advancements, the solitons were taken into account only along one model component.…”

Investigation of optical soliton solutions for the perturbed Gerdjikov-Ivanov equation with full-nonlinearity

“…There are some recent studies in the literature on obtaining optical solitons of the pGI equation. The analytical methods used in these papers are; modified simple equation method [44] , projective Riccati equation method, solitons and modulation instability [45] , trial equation method [46] , exp-function and Kudryashov method [47] , [48] , modified extended direct algebraic method [49] and extended rational sin-cos and sinh-cosh method [50] . Besides all, there are some actual papers in view of fractional calculus about pGI equation such as M-fractional pGI equation [51] , fractional pGI in conformable sense [52] and Riemann-Liouville fractional pGI model [53] .…”

Classification of All Single Traveling Wave Solutions of Fractional Perturbed Gerdjikov–Ivanov Equation

“…Among them, NLSE with cubic nonlinearity, namely, the perturbed Gerdjikov-Ivanov (pGI) equation, is the most studied [6][7][8][9][10][11], which is given by…”