Computational extracting solutions for the perturbed Gerdjikov-Ivanov equation by using improved modified extended analytical approach

Journal of Geometry and Physics - Tập 176 - Trang 104514 - 2022
Islam Samir1, Niveen Badra1, Aly R. Seadawy2, Hamdy M. Ahmed3, Ahmed H. Arnous3
1Department of Physics and Engineering Mathematics, Faculty of Engineering, Ain Shams University, Abbassia, Cairo, Egypt
2Department of Mathematics, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia
3Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El Shorouk, Cairo, Egypt

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Ahmed, 2020, Solitons and other solutions to (n+1)-dimensional modified Zakharov-Kuznetsov equation by exp-function method, SeMA J., 1

Ahmed, 2021, Optical solitons and other solutions to Kaup-Newell equation with Jacobi elliptic function expansion method, Anal. Math. Phys., 11, 1, 10.1007/s13324-020-00464-2

Arshad, 2017, Exact bright-dark solitary wave solutions of the higher-order cubic-quintic nonlinear Schrödinger equation and its stability, Optik, 138, 40, 10.1016/j.ijleo.2017.03.005

Arshad, 2019, Novel solitons and elliptic function solutions of (1+1)-dimensional higher order nonlinear Schrödinger equation with derivative non-Kerr nonlinear terms and its applications, Mod. Phys. Lett. B, 33, 10.1142/S0217984919502531

Hosseini, 2020, Dynamics of optical solitons in the perturbed Gerdjikov-Ivanov equation, Optik, 206, 10.1016/j.ijleo.2020.164350

Javid, 2021, Dual-wave of resonant nonlinear Schrödinger's dynamical equation with different nonlinearities, Phys. Lett. A, 407, 10.1016/j.physleta.2021.127446

Kaur, 2018, Optical solitons for perturbed Gerdjikov-Ivanov equation, Optik, 174, 447, 10.1016/j.ijleo.2018.08.072

Lu, 2018, Mathematical physics via construction of traveling and solitary wave solutions of three coupled system of nonlinear partial differential equations and their applications, Results Phys., 11, 1161, 10.1016/j.rinp.2018.11.014

Ozkan, 2020, A third-order nonlinear Schrödinger equation: the exact solutions, group-invariant solutions and conservation laws, J. Taibah Univ. Sci., 14, 585, 10.1080/16583655.2020.1760513

Raza, 2021, Computational soliton solutions for the variable coefficient nonlinear Schrödinger equation by collective variable method, Opt. Quantum Electron., 53, 400, 10.1007/s11082-021-03052-1

Rizvi, 2021, Optical dromions for perturbed fractional nonlinear Schrödinger equation with conformable derivatives, Opt. Quantum Electron., 53, 477, 10.1007/s11082-021-03126-0

Rizvi, 2020, Chirp-free optical dromions for the presence of higher order spatio-temporal dispersions and absence of self-phase modulation in birefringent fibers, Mod. Phys. Lett. B, 34, 10.1142/S0217984920503996

Seadawy, 2021, Chirp-free optical solitons in fiber Bragg gratings with dispersive reflectivity having polynomial law of nonlinearity, Optik, 225, 10.1016/j.ijleo.2020.165681

Seadawy, 2019, Applications of extended modified auxiliary equation mapping method for high order dispersive extended nonlinear Schrodinger equation in nonlinear optics, Mod. Phys. Lett. B, 33, 10.1142/S0217984919502038

Seadawy, 2019, Propagation of nonlinear complex waves for the coupled nonlinear Schrödinger equations in two core optical fibers, Phys. A, Stat. Mech. Appl., 529, 10.1016/j.physa.2019.121330

Seadawy, 2020, Improved perturbed nonlinear Schrödinger dynamical equation with type of Kerr law nonlinearity with optical soliton solutions, Phys. Scr., 95, 10.1088/1402-4896/ab8098

Seadawy, 2019, Application of mathematical methods on the ion sound and Langmuir waves dynamical systems, Pramana J. Phys., 93, 10.1007/s12043-019-1771-x

Seadawy, 2022, Chirped periodic waves for an cubic-quintic nonlinear Schrödinger equation with self steepening and higher order nonlinearities, Chaos Solitons Fractals, 156, 10.1016/j.chaos.2022.111804

Tariq, 2021, On some novel optical wave solutions to the paraxial M fractional nonlinear Schrödinger dynamical equation, Opt. Quantum Electron., 53, 219, 10.1007/s11082-021-02855-6

Xu, 2012, The rogue wave and breather solution of the Gerdjikov-Ivanov equation, J. Math. Phys., 53, 10.1063/1.4726510

Yang, 2006, An improved modified extended tanh-function method, Z. Naturforsch. A, 61, 103, 10.1515/zna-2006-3-401

Younas, 2020, Dispersive of propagation wave structures to the Dullin-Gottwald-Holm dynamical equation in a shallow water waves, Chin. J. Phys., 68, 348, 10.1016/j.cjph.2020.09.021

Younas, 2021, Diverse exact solutions for modified nonlinear Schrödinger equation with conformable fractional derivative, Results Phys., 20, 10.1016/j.rinp.2020.103766

Younis, 2021, Perturbed optical solitons with conformable time-space fractional Gerdjikov–Ivanov equation, Math. Sci.

Zhang, 2016, Improved homogeneous balance method for multi-soliton solutions of Gardner equation with time-dependent coefficients, IAENG Int. J. Appl. Math., 46, 592

Zuo, 2018, Painlevé analysis, Lax pairs and new analytic solutions for a high-order Boussinesq-Burgers equation, IAENG Int. J. Appl. Math., 48, 337