References
- 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.
- 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.
- Agrawal G.P., Physics and Engineering of Graded-Index Media, Cambridge University Press, UK, 2023.
- Sharma S., Singh G., Sharma M., A comprehensive review and analysis of supervised-learning and soft computing techniques for stress diagnosis in humans, Computers in Biology and Medicine, 134, 104450, 2021.
- Chowdhury M.A., Miah M.M., Iqbal M.A., Alshehri H.M., Baleanu D., Osman M.S., Advanced exact solutions to the nano-ionic currents equation through MTs and the soliton equation containing the RLC transmission line, European Physical Journal Plus, 138(6), 1–11, 2023.
- 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.
- Li Y., Lu D., Arshad M., Xu X., New exact traveling wave solutions of the unstable nonlinear Schrödinger equations and their applications, Optik, 226, 165386, 2021.
- Shehzad K., Seadawy A.R., Wang J., Arshad M., Multi peak solitons and breather types wave solutions of unstable NLSEs with stability and applications in optics, Optical and Quantum Electronics, 55(1), 1–7, 2023.
- 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(2B), 1229–1244, 2022.
- Arshad M., Seadawy A.R., Lu D., Jun W., Optical soliton solutions of unstable nonlinear Schrödinger dynamical equation and stability analysis with applications, Optik, 157, 597–605, 2018.
- Arbabi S., Najafi M., Exact solitary wave solutions of the complex nonlinear Schrödinger equations, Optik, 127(11), 4682–4688, 2016.
- Seadawy A.R., Rizvi S.T., Akram U., Naqvi S.K., Optical and analytical soliton solutions to higher order non-Kerr nonlinear Schrödinger dynamical model, Journal of Geometry and Physics, 179, 104616, 2022.
- Seadawy A.R., Lu D., Bright and dark solitary wave soliton solutions for the generalized higher order nonlinear Schrödinger equation and its stability, Results in Physics, 7, 43–48, 2017.
- 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.
- 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(1), 211–225, 2023.
- Mahmud A.A., Baskonus H.M., Tanriverdi T., Muhamad K.A., Optical solitary waves and soliton solutions of the (3+1)-dimensional generalized Kadomtsev-Petviashvili-Benjamin-Bona-Mahony equation, Computational Mathematics and Mathematical Physics, 63(6), 1085–1102, 2023.
- Mahmud A.A., Tanriverdi T., Muhamad K.A., Baskonus H.M., Characteristic of ion-acoustic waves described in the solutions of the (3+1)-dimensional generalized Korteweg-de Vries-Zakharov-Kuznetsov equation, Journal of Applied Mathematics and Computational Mechanics, 22(2), 36–48, 2023.
- Hussain A., Ali H., Zaman F., Abbas N., New closed form solutions of some nonlinear pseudo-parabolic models via a new extended direct algebraic method, International Journal of Mathematics and Computer in Engineering, 2(1), 35–58, 2024.
- Sivasundaram S., Kumar A., Singh R.K., On the complex properties to the first equation of the Kadomtsev-Petviashvili hierarchy, International Journal of Mathematics and Computer in Engineering, 2(1), 71–84, 2024.
- Mulimani M., Srinivasa K.A., Novel approach for Benjamin-Bona-Mahony equation via ultra spherical wavelets collocation method, International Journal of Mathematics and Computer in Engineering, 2(2), 39–52, 2024.
- Usman M., Hussain A., Zaman F., Abbas N., Symmetry analysis and invariant solutions of generalized coupled Zakharov-Kuznetsov equations using optimal system of Lie subalgebra, International Journal of Mathematics and Computer in Engineering, 2(2), 53–70, 2024.
- Zhao Z., He L., Space-curved resonant solitons and inelastic interaction solutions of a (2+1)-dimensional generalized KdV equation, Nonlinear Dynamics, 112(5), 3823–3833, 2024.
- Iqbal M., Lu D., Seadawy A.R., Ashraf M., Albaqawi H.S., Khan K.A., Chou D., Investigation of solitons structures for nonlinear ionic currents microtubule and Mikhaillov-Novikov-Wang dynamical equations, Optical and Quantum Electronics, 56(3), 361, 2024.
- Feng Y., Bilige S., Multiple rogue wave solutions of a generalised Hietarinta-type equation, Pramana, 95(3), 151, 2021.
- Gao D., Lü X., Peng M.S., Study on the (2+1)-dimensional extension of Hietarinta equation: soliton solutions and Bäcklund transformation, Physica Scripta, 98(9), 095225, 2023.
- Younas U., Sulaiman T.A., Ren J., Yusuf A., On the interaction phenomena to the nonlinear generalized Hietarinta-type equation, Journal of Ocean Engineering and Science, 9(1), 89–97, 2024.
- Chen S.J., Ma W.X., Lü X., Bäcklund transformation, exact solutions and interaction behaviour of the (3+1)-dimensional Hirota-Satsuma-Ito-like equation, Communications in Nonlinear Science and Numerical Simulation, 83, 105135, 2020.
- Younas U., Ren J., Sulaiman T.A., Bilal M., Yusuf A., On the lump solutions, breather waves, two-wave solutions of (2+1)-dimensional Pavlov equation and stability analysis, Modern Physics Letters B, 36(14), 2250084, 2022.
- Kaur L., Wazwaz A.M., Dynamical analysis of lump solutions for (3+1) dimensional generalized KP-Boussinesq equation and its dimensionally reduced equations, Physica Scripta, 93(7), 075203, 2018.
- He C., Tang Y., Ma W.X., Ma J., Interaction phenomena between a lump and other multi-solitons for the (2+1)-dimensional BLMP and Ito equations, Nonlinear Dynamics, 95, 29–42, 2019.
- Alam L.M.B., Jiang X., Exact and explicit traveling wave solution to the time-fractional phi-four and (2+1)-dimensional CBS equations using the modified extended tanh – function method in mathematical physics, Partial Differential Equations in Applied Mathematics, 4, 100039, 2021.
- Eldidamony H.A., Ahmed H.M., Zaghrout A.S., Ali Y.S., Arnous A.H., Highly dispersive optical solitons and other solutions in birefringent fibers by using improved modified extended tanh-function method, Optik, 256, 168722, 2022.
- Elsherbeny A.M., El-Barkouky R., Ahmed H.M., El-Hassani R.M., Arnous A.H., Optical solitons and another solutions for Radhakrishnan-Kundu-Laksmannan equation by using improved modified extended tanh-function method, Optical and Quantum Electronics, 53, 1–15, 2021.
- Rabie W.B., Khalil T.A., Badra N., Ahmed H.M., Mirzazadeh M., Hashemi M.S., Soliton solutions and other solutions to the (4+1)-Dimensional Davey-Stewartson-Kadomtsev-Petviashvili equation using modified extended mapping method, Qualitative Theory of Dynamical Systems, 23(2), 87, 2024.
- Almatrafi M.B., Solitary wave solutions to a fractional model using the improved modified extended tanh-function method, Fractal and Fractional, 7(3), 252, 2023.
- Mahmud A.A., Muhamad K.A., Tanriverdi T., Baskonus H.M., An investigation of Fokas system using two new modifications for the trigonometric and hyperbolic trigonometric function methods, Optical and Quantum Electronics, 56(5), 717–736, 2024.
- Mahmud A.A., Application of three different methods to several nonlinear partial differential equations modeling certain scientific phenomena, (PhD Thesis), Harran University, Türkiye, 2023.
- Muhamad K.A., A study on some nonstandard partial differential equations, (PhD Thesis), Harran University, Türkiye, 2023.
- Rezazadeh H., Ullah N., Akinyemi L., Shah A., Mirhosseini-Alizamin S.M., Chu Y.M., Ahmad H., Optical soliton solutions of the generalized non-autonomous nonlinear Schrödinger equations by the new Kudryashov's method, Results in Physics, 24, 104179, 2021.
- Akinyemi L., Rezazadeh H., Yao S.W., Akbar M.A., Khater M.M., Jhangeer A., Inc M., Ahmad H., Nonlinear dispersion in parabolic law medium and its optical solitons, Results in Physics, 26, 104411, 2021.
- Yao S.W., Akinyemi L., Mirzazadeh M., Inc M., Hosseini K., Şenol M., Dynamics of optical solitons in higher-order Sasa-Satsuma equation, Results in Physics, 30, 104825, 2021.
- Akinyemi L., Houwe A., Abbagari S., Wazwaz A.M., Alshehri H.M., Osman M.S., Effects of the higher-order dispersion on solitary waves and modulation instability in a monomode fiber, Optik, 288, 171202, 2023.