References
- Wazwaz AM. Abundant solitons solutions for several forms of the fifth-order KdV equation by using the tanh method. Applied Mathematics and Computation. 2006;182(1):283–300.
- Seadawy AR. Travelling-wave solutions of a weakly nonlinear two-dimensional higher-order Kadomtsev-Petviashvili dynamical equation for dispersive shallow-water waves. Eur. Phys. J. Plus. 2017;132:29.
https://doi.org/10.1140/epjp/i2017-11313-4 . - Akram U, Seadawy AR, Rizvi STR, Younis M, Althobaiti S, Sayed S. Traveling wave solutions for the fractional Wazwaz–Benjamin–Bona–Mahony model in arising shallow water waves. Results in Physics. 2021;20:103725.
https://doi.org/10.1016/j.rinp.2020.103725 - Rizvi STR, Kashif A, Marwa A. Optical solitons for Biswas–Milovic equation by new extended auxiliary equation method. Optik. 2020;204:164181.
https://doi.org/10.1016/j.ijleo.2020.164181 - Seadawy AR. New exact solutions for the KdV equation with higher order nonlinearity by using the variational method. Computers& Mathematics with Applications. 2011; 62(10):2011;3741–3755.
https://doi.org/10.1016/j.camwa.2011.09.023 - Asghar A, Seadawy AR, Dianchen L. Soliton solutions of the non-linear Schrödinger equation with the dual power law nonlinearity and resonant nonlinear Schrödinger equation and their modulation instability analysis. Optik. 2017; 145;79–88.
https://doi.org/10.1016/j.ijleo.2017.07.016 - Arshad M, Seadawy AR, Dianchen L. Exact bright–dark solitary wave solutions of the higher-order cubic–quintic nonlinear Schrö-dinger equation and its stability. Optik. 2017;138;40–49.
https://doi.org/10.1016/j.ijleo.2017.03.005 - Arnous AH, Seadawy AR, Alqahtani RT, Biswas A. Optical solitons with complex Ginzburg–Landau equation by modified simple equation method. Optik. 2017;144:475–480.
https://doi.org/10.1016/j.ijleo.2017.07.013 - Seadawy AR, El-Rashidy K. Traveling wave solutions for some coupled nonlinear evolution equations, Mathematical and Computer Modelling. 2013;57(5–6):1371–1379.
https://doi.org/10.1016/j.mcm.2012.11.026 - Younas U, Younis M, Seadawy AR, Rizvi STR, Althobaiti S, Sayed S. Diverse exact solutions for modified nonlinear Schrödinger equation with conformable fractional derivative. Results in Physics. 2021,20;103766.
https://doi.org/10.1016/j.rinp.2020.103766 - Bhrawy AH, Abdelkawy MA, Kumar S, Biswas A. Solitons and other solutions to Kadomtsev-Petviashvili equation of B-type. Rom. J. Phys. 2013; 58(7–8):729–748.
- Ebadi G, Fard NY, Bhrawy AH, Kumar S, Triki H, Yildirim A, Biswas A. Solitons and other solutions to the (3+1)-dimensional extended Kadomtsev-Petviashvili equation with power law nonlinearity. Rom. Rep. Phys. 2013; 65(1):27–62.
- Iqbal MA, Wang Y, Miah MM, Osman MS. Study on date–Jimbo–Kashiwara–Miwa equation with conformable derivative dependent on time parameter to find the exact dynamic wave solutions. Fractal and Fractional. 2021; 6(1):4.
- Ali KK, Wazwaz AM, Osman MS. Optical soliton solutions to the generalized nonautonomous nonlinear Schrödinger equations in optical fibers via the sine-Gordon expansion method. Optik. 2020; 208:164132.
- Akinyemi L, Houwe A, Abbagari S, Wazwaz AM, Alshehri HM, Osman MS. Effects of the higher-order dispersion on solitary waves and modulation instability in a monomode fiber. Optik. 2023; 288: 171202.
https://doi.org/10.1016/j.ijleo.2023.171202 - Mani Rajan MS, Saravana Veni S, Wazwaz AM. Self-steepening nature and nonlinearity management of optical solitons with the influence of generalized external potentials. Opt Quant Electron. 2023; 55:703.
https://doi.org/10.1007/s11082-023-04912-8 - Jafari H, Tajadodi H, Baleanu D. Application of a homogeneous balance method to exact solutions of nonlinear fractional evolution equations. Journal of Computational and Nonlinear Dynamics. 2014;9(2): 021019.
- Kumar S, Malik S, Rezazadeh H, Akinyemi L. The integrable Boussinesq equation and it’s breather, lump and soliton solutions. Nonlinear Dynamics; 2022;1–14.
- Kumar S, Kumar A., Samet B, Gómez-Aguilar JF, Osman MS. A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment. Chaos, Solitons & Fractals 2020; 141: 110321.
- Khan MI, Asghar S, Sabi’u J. Jacobi elliptic function expansion method for the improved modified kortwedge-de vries equation. Optical and Quantum Electronics. 2022; 54: 734.
- Osman MS. One-soliton shaping and inelastic collision between double solitons in the fifth-order variable-coefficient Sawada–Kotera equation. Nonlinear Dynamics. 2019; 96(2):1491–1496.
- Osman MS, Rezazadeh H., Eslami M. Traveling wave solutions for (3+1) dimensional conformable fractional Zakharov-Kuznetsov equation with power law nonlinearity. Nonlinear Engineering. 2016; 8(1):559–567.
- Alquran M, Jarrah A. Jacobi elliptic function solutions for a two-mode KdV equation. J King Saud Univ Sci. 2019;31:485–9.
https://doi.org/10.1016/j.jksus.2017.06.010 - Jaradat HM, Syam M, Alquran M. A two-mode coupled Korteweg-de Vries: multiple-soliton solutions and other exact solutions. Non-linear Dyn. 2017;90:371–7.
https://doi.org/10.1007/s11071-017-3668-x - Alquran M, Jaradat HM, Syam MI. A modified approach for a reliable study of new nonlinear equation: two-mode Korteweg-de Vries-Burgers equation. Nonlinear Dyn. 2018;91:1619–26.
https://doi.org/10.1007/s11071-017-3968-1 - Jaradat HM, Awawdeh F, Al-Shara S, Alquran M, Momani S. Controllable dynamical behaviors and the analysis of fractal burgers hierarchy with the full effects of inhomogeneities of media. Rom. J. Phys. 2015; 60:324–43.
- Syam M, Jaradat HM, Alquran M. A study on the two-mode coupled modified Korteweg-de Vries using the simplified bilinear and the trigonometric-function methods. Nonlinear Dyn. 2017; 90:1363–71.
https://doi.org/10.1007/s11071-017-3732-6 - Alquran M, Jaradat HM, Al-Shara S, Awawdeh F. A new simplified bilinear method for the N-soliton solutions for a generalized F mKdV equation with time-dependent variable coefficients. Int J Nonlinear Sci Numer Simul. 2015;16:259–69.
https://doi.org/10.1515/ijnsns-2014-0023 - Rezazadeh H, Vahidi J, Zafar A, Bekir A. The functional variable method to find new exact solutions of the nonlinear evolution equations with dual-power-law nonlinearity. Int J Nonlinear Sci Numer Simul. 2020; 21:249–57.
https://doi.org/10.1515/ijnsns-2019-0064 - Yépez-Martínez H, Gómez-Aguilar JF. Fractional sub-equation method for Hirota-Satsuma-coupled KdV equation and coupled mKdV equation using the Atangana’s conformable derivative. Waves Ran Comp Med. 2019;29:678–93.
https://doi.org/10.1080/17455030.2018.1464233 - Yépez-Martínez H, Gómez-Aguilar JF, Baleanu D. Beta-derivative and sub equation method applied to the optical solitons in medium with parabolic law nonlinearity and high order dispersion. Optik. 2018;155:357–65.
https://doi.org/10.1016/j.ijleo.2017.10.104 - Yépez-Martínez H, Gómez-Aguilar JF. M-derivative applied to the soliton solutions for the Lakshmanan-Porsezian-Daniel equation with dual-dispersion for optical fibers. Optical Quant Electron. 2019; 51:31.
https://doi.org/10.1007/s11082-018-1740-5 - Akinyemi L. Two improved techniques for the perturbed nonlinear Biswas-Milovic equation and its optical solutions. Optik-International Journal for Light and Electron Optics. 2021;243;167477.
- Kumar S, Mann N, Kharbanda H, Inc M. Dynamical behavior of analytical soliton solutions, bifurcation analysis, and quasi-periodic solution to the (2+1)-dimensional Konopelchenko–Dubrovsky (KD) system. Analysis and Mathematical Physics. 2023;13(3):40.
- Kumar S, Mann N. A variety of newly formed soliton solutions and patterns of dynamic waveforms for the generalized complex coupled Schrödinger–Boussinesq equations. Optical and Quantum Electronics. 2023;55(8):723.
- Kumar S, Rani S, Mann N. Diverse analytical wave solutions and dynamical behaviors of the new (2+1)-dimensional Sakovich equation emerging in fluid dynamics. The European Physical Journal Plus. 2022;137(11):1226.
- Kumar S, Niwas M, Mann N. Abundant analytical closed-form solutions and various solitonic wave forms to the ZK-BBM and GZK-BBM equations in fluids and plasma physics. Partial Differential Equations in Applied Mathematics. 2021;4:100200.
- Kumar S, Mann N. Abundant closed-form solutions of the (3+1)-dimensional Vakhnenko-Parkes equation describing the dynamics of various solitary waves in ocean engineering. Journal of Ocean Engineering and Science; 2022.
- Rani S, Kumar S, Mann N. On the dynamics of optical soliton solutions, modulation stability, and various wave structures of a (2+1)-dimensional complex modified Korteweg-de-Vries equation using two integration mathematical methods. Optical and Quantum Electronics. 2023;55(8):731.
- Nonlaopon K, Mann N, Kumar S, Rezaei S, Abdou MA. A variety of closed-form solutions, Painlevé analysis, and solitary wave profiles for modified KdV–Zakharov–Kuznetsov equation in (3+1)-dimensions. Results in Physics. 2022;36:105394.