Dynamical simulation of wave solutions for the M-fractional Lonngren-wave equation using two distinct methods

Alexandria Engineering Journal - Tập 81 - Trang 460-468 - 2023
Md Mamunur Roshid1,2, M.M. Rahman1, Md. Habibul Bashar3, Mohammad Mobarak Hossain2, Md. Abde Mannaf3, Harun-Or-Roshid4
1Department of Mathematics, Bangladesh University of Engineering and Technology (BUET), Dhaka 1000, Bangladesh
2Department of Mathematics, Hamdard University Bangladesh, Munshigonj, Bangladesh
3Department of Mathematics, European University of Bangladesh (EUB), Dhaka 1216, Bangladesh
4Department of Mathematics, Pabna University of Science and Technology, Pabna, Bangladesh

Tài liệu tham khảo

Roshid, 2018, Exact and explicit traveling wave solutions to two nonlinear evolution equations which describe incompressible viscoelastic Kelvin-Voigt fluid, Heliyon, 4, 10.1016/j.heliyon.2018.e00756 Roshid, 2020, Breather wave and kinky periodic wave solutions of one-dimensional Oskolkov equation, Math. Model. Eng., 6, 460 Tchier, 2017, Soliton solutions and conservation laws for lossy nonlinear transmission line equation, Superlattice. Microst., 107, 320, 10.1016/j.spmi.2017.04.003 Younis, 2015, Analytical and soliton solutions: nonlinear model of nanobioelectronics transmission lines, Appl. Math Comput., 265, 994 Vivas-Cortez, 2023, Numerical simulations of the soliton dynamics for a nonlinear biological model: modulation instability analysis, PLoS One, 18, 10.1371/journal.pone.0281318 Xiao-feng, 2001, The lifetime of the soliton in the improved Davydov model at the biological temperature 300 K for protein molecules, Eur. Phys. J. B, 19, 297, 10.1007/s100510170339 Roshid, 2023, Dynamic optical soliton solutions for M-fractional Paraxial Wave equation using unified technique, Results Phys., 51 Osman, 2018, New optical solitary wave solutions of Fokas-Lenells equation in presence of perturbation terms by a novel approach, Optik (Stuttg.), 175, 328, 10.1016/j.ijleo.2018.08.007 Sun, 2023, Novel soliton molecules and interaction wave solutions in a (2+1)-dimensional Sawada-Kotera equation: a multi-linear variable separation method, Nonlinear Dyn., 2023 Mirzazadeh, 2023, Optical solitons with an extended (3+ 1)-dimensional nonlinear conformable Schrödinger equation including cubic-quintic nonlinearity, Results Phys., 49, 10.1016/j.rinp.2023.106521 Hashemi, 2023, Novel exact solutions to a coupled Schrödinger–KdV equations in the interactions of capillary–gravity waves, Opt. Quant. Electron., 55, 10.1007/s11082-023-04826-5 Hussain, 2023, Symmetry analysis, closed-form invariant solutions and dynamical wave structures of the Benney Luke equation using optimal system of Lie subalgebras, Chin. J. Phys. Roshid, 2022, Lump, interaction of lump and kink and solitonic solution of nonlinear evolution equation which describe incompressible viscoelastic Kelvin-Voigt fluid, Partial Differ. Equ. App. Math., 5 Hossain, 2022, Abundant bounded and unbounded solitary, periodic, rogue-type wave solutions and analysis of parametric effect on the solutions to nonlinear Klein-Gordon model, Complexity, 2022, 10.1155/2022/8771583 Roshid, 2021, New solitonic and rogue wave solutions of a Klein-Gordon equation with quadratic nonlinearity, Partial Differ. Equ. App. Math., 3 Roshid, 2022, Dynamical interaction of solitary, periodic, rogue type wave solutions and multi-soliton solutions of the nonlinear models, Heliyon, 8 Ullah, 2022, Application of the unified method to solve the Biswas-Arshed model, Results Phys., 42, 10.1016/j.rinp.2022.105946 Abdeljabbar, 2022, Interactions of rogue and solitary wave solutions to the (2 + 1)-D generalized Camassa–Holm–KP equation, Nonlinear Dyn., 110, 3671, 10.1007/s11071-022-07792-x Roshid, 2023, Dynamical structure of truncated M- fractional Klein-Gordon model via two integral schemes, Results Phys., 46 Tasnim, 2023, The extended direct algebraic method for extracting analytical solitons solutions to the cubic nonlinear Schrödinger equation involving Beta derivatives in space and time, Fractal Fract., 7, 10.3390/fractalfract7060426 Singh, 2022, On the analysis of an analytical approach for fractional Caudrey-Dodd-Gibbon equations, Alex. Eng. J., 61, 5073, 10.1016/j.aej.2021.09.053 Bulut, 2018, Optical solitons and other solutions to the conformable space–time fractional Fokas-Lenells equation, Optik, 172, 20, 10.1016/j.ijleo.2018.06.108 Ali, 2023, New approximation solution for time-fractional Kudryashov-Sinelshchikov equation using novel technique, Alex. Eng. J., 72, 559, 10.1016/j.aej.2023.04.027 Zulfiqar, 2020, Exact solitary wave solutions of fractional modified Camassa-Holm equation using an efficient method, Alex. Eng. J., 59, 3565, 10.1016/j.aej.2020.06.002 Korpinar, 2020, Applicability of time conformable derivative to Wick-fractional-stochastic PDE, Alex. Eng. J., 59, 1485, 10.1016/j.aej.2020.05.001 Haque, 2022, Optical soliton solutions to the fractional nonlinear Fokas-Lenells and paraxial Schrödinger equations, Opt. Quant. Electron., 54, 10.1007/s11082-022-04145-1 Iqbal, 2023, An analysis to extract the soliton solutions for the Lonngren wave equation and the (2+1)-dimensional stochastic Nizhnik-Novikov-Veselov system, Res Sq., 2023 Durur, 2021, Energy-carrying wave simulation of the Lonngren-wave equation in semiconductor materials, Int. J. Mod. Phys. B, 35, 10.1142/S0217979221502131 Duran, 2021, travelling wave solutions and simulation of the Lonngren wave equation for tunnel diode, Opt. Quant. Electron., 53, 10.1007/s11082-021-03091-8 Yokuş, 2021, Simulation of bright–dark soliton solutions of the Lonngren wave equation arising the model of transmission lines, Mod. Phys. Lett. B, 35, 10.1142/S0217984921504844 Kayum, 2020, Soliton solutions to voltage analysis in nonlinear electrical transmission lines and electric signals in telegraph lines, Result Phys., 18, 10.1016/j.rinp.2020.103269 Baskonus, 2019, New complex hyperbolic structures to the Lonngren-Wave equation by using Sine-Gordon expansion method, Appl. Math. Nonlinear Sci., 4, 141 Aydemir, 2018, A new application of the unified method, New Trend Math. Sci., 1, 185, 10.20852/ntmsci.2018.261 Akcagil, 2016, Comparison between the (G′/G) - expansion method and the modified extended tanh method, Open Phys., 14, 88, 10.1515/phys-2016-0006 Ali, 2022, New soliton solutions of Dual mode Sawada Kotera equation using a new form of modified Kudryashov method and the finite difference method, J. Ocean Eng. Sci., 10.1016/j.joes.2022.04.033 Rezazadeh, 2020, New exact solution of the conformable Gilson-Pickering equation using the new modified Kudryashov’s method, Int. J. Mod. Phys. B, 34, 10.1142/S0217979220501611 Kudryashov, 2005, Simplest equation method to look for exact solutions of nonlinear differential equations, Chaos Solit. Fract., 24, 1217, 10.1016/j.chaos.2004.09.109 Taher, 2016, Nofal, Simple equation method for nonlinear partial differential equations and its applications, J. Egypt. Math. Soc., 24, 204, 10.1016/j.joems.2015.05.006 Zhao, 2013, The simplest equation method and its application for solving the nonlinear NLSE, KGZ, GDS, DS, and GZ equations, J. Appl. Math., 2013, 10.1155/2013/960798 Hossain, 2022, Novel exact soliton solutions of Cahn-Allen models with truncated M-fractional derivative, Int. J. Appl. Math., 8, 112 Yao, 2022, Exact soliton solutions to the Cahn-Allen equation and Predator-Prey model with truncated M-fractional derivative, Results Phys., 37, 10.1016/j.rinp.2022.105455 Vanterler, 2018, A new truncated M-fractional derivative type unifying some fractional derivative types with classical properties, Int. J. Anal. Appl., 16, 83 Younis, 2020, Modulation instability analysis, optical and other solutions to the modified nonlinear Schrödinger equation, Commun. Theor. Phys., 72, 10.1088/1572-9494/ab7ec8 Seadawy, 2021, Modulation instability analysis and longitudinal wave propagation in an elastic cylindrical rod modelled with Pochhammer-Chree equation, Phys. Scr., 96, 10.1088/1402-4896/abdcf7 Hosseini, 2023, Periodic and solitary waves of the nonlinear Konno-Oono model: generalized methods, Opt. Quant. Electron., 55 Hosseini, 2023, Solitary waves of coupled nonlinear Schrödinger equations: a generalized method, Opt. Quant. Electron., 55