This work is licensed under the Creative Commons Attribution 4.0 International License.
Sulaiman T.A., Three-component coupled nonlinear Schrödinger equation: Optical soliton and modulation instability analysis, Physica Scripta, 95(6), 065201, 2020.Search in Google Scholar
Guo D., Tian S.F., Zhang T.T., Li J., Modulation instability analysis and soliton solutions of an integrable coupled nonlinear Schrödinger system, Nonlinear Dynamics, 94(4), 2749-2761, 2018.Search in Google Scholar
Bilal M., Seadawy A.R., Younis M., Rizvi S.T.R., Highly dispersive optical solitons and other soluions for the Radhakrishnan-Kundu-Lakshmanan equation in birefringent fibers by an efficient computational technique, Optical and Quantum Electronics, 53, 435, 2021.Search in Google Scholar
Younis M., Younas U., Rehman S.U., Bilal M., Waheed A., Optical bright-dark and Gaussian soliton with third order dispersion, Optik, 134, 233-238, 2017.Search in Google Scholar
Muhamad K.A., Tanriverdi T., Mahmud A.A., Baskonus H.M., Interaction characteristics of the Riemann wave propagation in the (2+ 1)-dimensional generalized breaking soliton system, International Journal of Computer Mathematics, 100(6), 1340-1355, 2023.Search in Google Scholar
Mahmud A.A., Tanriverdi T., Muhamad K.A., Baskonus H.M., Structure of the analytic solutions for the complex non-linear (2+1)-dimensional conformable time-fractional Schrödinger equation, Thermal Science, 27(SI:1), 211-225, 2023.Search in Google Scholar
Mahmud A.A., Tanriverdi T., Muhamad K.A., Exact traveling wave solutions for (2+ 1)-dimensional Konopelchenko-Dubrovsky equation by using the hyperbolic trigonometric functions methods, International Journal of Mathematics and Computer in Engineering, 1(1), 11-24, 2023.Search in Google Scholar
Baskonus H.M., Mahmud A.A., Muhamad K.A., Tanriverdi T., Gao W., Studying on Kudryashov-Sinelshchikov dynamical equation arising in mixtures liquid and gas bubbles, Thermal Science, 26(2), 1229-1244, 2022.Search in Google Scholar
Tanriverdi T., Baskonus H.M., Mahmud A.A., Muhamad K.A., Explicit solution of fractional order atmosphere-soil-land plant carbon cycle system, Ecological Complexity, 48, 100966, 2021.Search in Google Scholar
Baskonus H.M., Mahmud A.A., Muhamad K.A., Tanriverdi T., A study on Caudrey-Dodd-Gibbon-Sawada-Kotera partial differential equation, Mathematical Methods in the Applied Sciences, 45(14), 8737-8753, 2022.Search in Google Scholar
Bilal M., Hu W., Ren J., Different wave structures to the Chen-Lee-Liu equation of monomode fibers and its modulation instability analysis, European Physical Journal Plus, 136(385) 2021.Search in Google Scholar
Bilal M., Ren J., Inc M., Alqahtani R.T., Dynamics of solitons and weakly ion-acoustic wave structures to the nonlinear dynamical model via analytical techniques, Optical and Quantum Electronics, 55, 656, 2023.Search in Google Scholar
Baskonus H.M., Younis M., Bilal M., Younas U., Rehman S.U., Gao W., Modulation instability analysis and perturbed optical soliton and other solutions to the Gerdjikov-Ivanov equation in nonlinear optics, Modern Physics Letter B, 34(35), 2050404, 2020.Search in Google Scholar
Bilal M., Younas U., Yusuf A., Sulaiman T.A., Bayram M., Optical solitons for Lakshmanan-Porsezian-Daniel equation in birefringent fibers without four-wave mixing, Optik, 243, 167489, 2021.Search in Google Scholar
Bilal M., Ren J., Inc M., Almohsen B., Akinyemi L., Dynamics of diverse wave propagation to integrable Kraenkel-Manna-Merle system under zero damping effect in ferrites materials, Optical and Quantum Electronics, 55, 646, 2023.Search in Google Scholar
Rehman S.U., Seadawy A.R., Younis M., Rizvi S.T.R., Sulaiman T.A., Yusuf A., Modulation instability analysis and optical solitons of the generalized model for description of propagation pulses in optical fiber with four non-linear terms, Modern Physics Letter B, 35(06), 2150112, 2021.Search in Google Scholar
Younis M., Younas U., Bilal M., Rehman S.U., Rizvi S.T.R., Investigation of optical solitons with Chen-Lee-Liu equation of monomode fibers by five free parameters, Indian Journal of Physics, 96(5), 1539-1546, 2022.Search in Google Scholar
Bilal M., Ren J., Dynamics of exact solitary wave solutions to the conformable time space fractional model with reliable analytical approaches, Optical and Quantum Electronics, 54, 40, 2022.Search in Google Scholar
Ali K., Rizvi S.T.R., Nawaz B., Younis M., Optical solitons for paraxial wave equation in Kerr media, Modern Physics Letter B, 33(03), 1950020, 2019.Search in Google Scholar
Younas U., Bilal M., Sulaiman T.A., Ren J., Yusuf A., On the exact soliton solutions and different wave structures to the double dispersive equation, Optical and Quantum Electronics, 54, 71, 2022.Search in Google Scholar
Gao W., Yel G., Baskonus H.M., Cattani C., Complex solitons in the conformable (2+1)-dimensional Ablowitz-KaupNewell-Segur Equation, AIMS Mathematics, 5(1), 507-521, 2020.Search in Google Scholar
Lu D., Tariq K.U., Osman M.S., Baleanu D., Younis M., Khater M.M.A., New analytical wave structures for the (3+1)-dimensional Kadomtsev-Petviashvili and the generalized Boussinesq models and their applications, Results in Physics, 14, 102491, 2019.Search in Google Scholar
Bilal M., Younas U., Ren J., Dynamics of exact soliton solutions to the coupled nonlinear system with reliable analytical mathematical approaches, Communication in Theoretical Physics, 73, 085005, 2021.Search in Google Scholar
Durur H., Yokus A., Duran S., Investigation of exact soliton solutions of nematicons in liquid crystals according to nonlinearity conditions, International Journal of Modern Physics B, DOI: 10.1142/S0217979224500541, 2023.Search in Google Scholar
Yokus A., Baskonus H.M., Dynamics of traveling wave solutions arising in fiber optic communication of some nonlinear models, Soft Computing, 26, 13605-13614, 2022.Search in Google Scholar
Yokus A., Duran S., Durur H., Analysis of wave structures for the coupled Higgs equation modelling in the nuclear structure of an atom, European Physical Journal Plus, 137, 992, 2022.Search in Google Scholar
Yokus A., Construction of different types of traveling wave solutions of the relativistic wave equation associated with the Schrödinger equation, Mathematical Modelling and Numerical Simulation with Applications, 1(1), 24-31, 2021.Search in Google Scholar
Yokus A., Iskenderoglu A., Kaya D., Application of some nonclassical methods for p-defocusing complex Klein-Gordon equation, Optical and Quantum Electronics, 55, 403, 2023.Search in Google Scholar
Bilal M., Seadawy A.R.,Younis, M., Rizvi S.T.R., El-Rashidy K., Mahmoud S.F., Analytical wave structures in plasma physics modelled by Gilson-Pickering equation by two integration norms, Results in Physics, 23, 103959, 2021.Search in Google Scholar
Bilal M., Younis M., Rehman S.U., Ahmad J., Younas U., Investigation of new solitons and other solutions to the modified nonlinear Schrödinger equation in ocean engineering, Journal of Ocean Engineering and Science, DOI:10.1016/j.joes.2022.04.031, 2022.Search in Google Scholar
Yan L., Baskonus H.M., Cattani C., Gao W., Extractions of the gravitational potential and high-frequency wave Perturbation properties of nonlinear (3+1)-dimensional Vakhnenko-Parkes equation via novel approach, Mathematical Methods in the Applied Sciences, DOI: 10.1002/mma.8726, 2022.Search in Google Scholar
Seadawy A.R., Bilal M., Younis M., Rizvi S.T.R., Althobaiti S., Makhlouf M.M., Analytical mathematical approaches for the double-chain model of DNA by a novel computational technique, Chaos Solitons and Fractal, 144, 110669, 2021.Search in Google Scholar
Seadawy A.R., Rehman S.U., Younis M., Rizvi S.T.R., Althobaiti S., Makhlouf M.M., Modulation instability analysis and longitudinal wave propagation in an elastic cylindrical rod modelled with Pochhammer-Chree equation, Physica scripta, 96(4), 045202, 2021.Search in Google Scholar
Inan I.E., Inc M., Yepez-Martinez H., Mahmoud K.H., Extended exp (−j (x ))-expansion method for some exact solutions of (2+1) and (3+1)-dimensional constant coefficients KdV equations, Journal of Ocean Engineering and Science, DOI:10.1016/j.joes.2022.04.003, 2022.Search in Google Scholar
Cattani C., Sulaiman T.A., Baskonus H.M., Bulut H., Solitons in an inhomogeneous Murnaghan’s rod, European Physical Journal Plus, 133(6), 228, 2018.Search in Google Scholar
Bilal M., Rehman S.U., Ahmad J., The study of new optical soliton solutions to the time-space fractional nonlinear dynamical model with novel mechanisms, Journal of Ocean Engineering and Science, DOI:10.1016/j.joes.2022.05.027, 2022.Search in Google Scholar
Khan A., Khan A., Sinan M., Ion temperature gradient modes driven soliton and shock by reduction perturbation method for electron-ion magneto-plasma, Mathematical Modelling and Numerical Simulation with Applications, 2(1), 1-12, 2022.Search in Google Scholar
Yokus A., Baskonus H.M., Sulaiman T.A., Bulut H., Numerical simulations and solutions of the two component second order KdV evolutionary system, Numerical Methods of Partial Differential Equations, 34(1), 211-227, 2018.Search in Google Scholar
Mirzazadeh M., Arnous A.H., Mahmood M.F., Zerrad E., Biswas A., Soliton solutions to resonant nonlinear Schrödinger’s equation with time-dependent coefficients by trial solution approach, Nonlinear Dynamics, 81, 277-282, 2015.Search in Google Scholar
Bilal M., Ahmad J., A variety of exact optical soliton solutions to the generalized (2+1)-dimensional dynamical conformable fractional Schrödinger model, Results in Physics, 33, 105198, 2022.Search in Google Scholar
Rehman S.U., Bilal M., Ahmad J., The study of solitary wave solutions to the time conformable Schrödinger system by a powerful computational technique, Optical and Quantum Electronics, 54, 228, 2022.Search in Google Scholar
Akinyemi L., Senol M., Rezazadeh H., Ahmad H., Wang H., Abundant optical soliton solutions for an integrable (2+1)-dimensional nonlinear conformable Schrödinger system, Results in Physics, 25, 104177, 2021.Search in Google Scholar
Akcagil S., Aydemir T., A new application of the unified method, New Trends in Mathematical Sciences, 6(1), 185-199, 2018.Search in Google Scholar
Lin X.X., Shi T.J., Travelling wave solutions for Konopelchenko-Dubrovsky equation using an extended sinh- Gordon equation expansion method, Communications in Theoretical Physics, 50, 1047, 2008.Search in Google Scholar
Rehman S.U., Ahmad J., Modulation instability analysis and optical solitons in birefringent fibers to RKL equation without four wave mixing, Alexandria Engineering Journal, 60, 1339-1354, 2020.Search in Google Scholar
Zulfiqar A., Ahmad J., Soliton solutions of fractional modified unstable Schrödinger equation using exp-function method, Results in Physics, 19, 103476, 2020.Search in Google Scholar
Bilal M., Ren J., Younas U., Stability analysis and optical soliton solutions to the nonlinear Schrödinger model with efficient computational techniques, Optical and Quantum Electronics, 53, 406, 2021.Search in Google Scholar
Zulfiqar A., Ahmad J., Exact solitary wave solutions of fractional modified Camassa-Holm equation using an efficient method, Alexandria Engineering Journal, 59, 3565-3574, 2020.Search in Google Scholar
Yokus A., Construction of different types of traveling wave solutions of the relativistic wave equation associated with the Schrödinger equation, Mathematical Modelling and Numerical Simulation with Applications, 1(1), 24-31, 2021.Search in Google Scholar
Causanilles F.S.V., Baskonus H.M., Guirao J.L.G., Bermudez G.R., Some important points of the Josephson effect via two superconductors in complex bases, Mathematics, 10(2591) 1-13, 2022.Search in Google Scholar
Baskonus H.M., Gao W., Investigation of optical solitons to the nonlinear complex Kundu-Eckhaus and Zakharov-Kuznetsov-Benjamin-Bona-Mahony equations in conformable, Optical and Quantum Electronics, 54, 388, 2022.Search in Google Scholar
Yokus A., Baskonus, H.M., Dynamics of traveling wave solutions arising in fiber optic communication of some nonlinear models, Soft Computing, 26, 1360513614, 2022.Search in Google Scholar
Weisstein E.W., Concise Encyclopedia of Mathematics, 2nd edition, CRC Press, New York, 2002.Search in Google Scholar