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Optical and Quantum Electronics

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01-01-2024

Formation of optical soliton wave profiles of Shynaray-IIA equation via two improved techniques: a comparative study

Authors: Waqas Ali Faridi, Ghulam Hussain Tipu, Zhaidary Myrzakulova, Ratbay Myrzakulov, Lanre Akinyemi

Published in: Optical and Quantum Electronics | Issue 1/2024

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Abstract

This study employs the new extended direct algebraic method and improved sardar sub-equation method to investigate solitary wave solutions in the Shynaray-IIA equation, which characterizes phenomena like tidal waves and tsunamis. These methods transform complex nonlinear coupled partial differential equations into manageable algebraic equations using a traveling wave transformation. Before this study, there is not exiting any research in which someone has obtained such kind of solutions. The main goal is to enhance understanding of the Shynaray-IIA equation behavior in various scenarios. By applying the new extended direct algebraic method and improved sardar sub-equation method, the study derives solitary wave solutions using trigonometric, hyperbolic, and Jacobi functions. By adjusting specific parameters, diverse solutions are obtained, including periodic, bell-shaped, anti-bell-shaped, M-shaped, and W-shaped solitons, each pair exhibiting mathematical symmetry. The analytical soliton solutions are further visualized in both 2D and 3D representations using Mathematica 12.3, aiding in the interpretation of these complex wave phenomena.

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Akbar, M.A., Abdullah, F.A., Islam, M.T., Al Sharif, M.A., Osman, M.S.: New solutions of the soliton type of shallow water waves and superconductivity models. Results Phys. 44, Article 106180 (2023)

Akbar, M.A., Wazwaz, A.M., Mahmud, F., Baleanu, D., Roy, R., Barman, H.K., Mahmoud, W., Al Sharif, M.A., Osman, M.S.: Dynamical behavior of solitons of the perturbed nonlinear Schrödinger equation and microtubules through the generalized Kudryashov scheme. Results Phys. 43, Article 106079 (2022)

Akinyemi, L., Şenol, M., Osman, M.S.: Analytical and approximate solutions of nonlinear Schrödinger equation with higher dimension in the anomalous dispersion regime. J. Ocean Eng. Sci. 7(2), Article 143–154 (2022)

Akinyemi, L.: Shallow ocean soliton and localized waves in extended \((2+1)\)-dimensional nonlinear evolution equations. Phys. Lett. A 463, Article 128668 (2023)

Alsharidi, A.K., Bekir, A.: Discovery of new exact wave solutions to the M-fractional complex three coupled Maccari’s system by Sardar Sub-equation scheme. Symmetry 15(8), Article 1567 (2023)

Arefin, M.A., Sadiya U., Inc, M., Uddin, MH.: Adequate soliton solutions to the space-time fractional telegraph equation and modified third-order KdV equation through a reliable technique. Opt. Quant. Electron. 54(5), Article 309 (2022)

Asjad, M.I., Faridi, W.A., Alhazmi, S.E., Hussanan, A.: The modulation instability analysis and generalized fractional propagating patterns of the Peyrard–Bishop DNA dynamical equation. Opt. Quant. Electron. 55(3), Article 232 (2023)

Asjad, M.I., Faridi, W.A., Jhangeer, A., Ahmad, H., Abdel-Khalek, S., Alshehri, N.: Propagation of some new traveling wave patterns of the double dispersive equation. Open Phys. 20(1), 130–141 (2022)CrossRef

Biswas, A., Vega-Guzman, J., Yıldırım, Y., Moraru, L., Iticescu, C., Alghamdi, A.A.: Optical solitons for the concatenation model with differential group delay: undetermined coefficients. Mathematics 11(9), Article 2012 (2023)

Debnath, L., Debnath, L.: Nonlinear Partial Differential Equations for Scientists and Engineers, pp. 528–529. Birkhäuser, Boston (2005)CrossRef

Dong, S., Lan, Z.Z., Gao, B., Shen, Y.: Bäcklund transformation and multi-soliton solutions for the discrete Korteweg–de Vries equation. Appl. Math. Lett. 125, Article 107747 (2022)

Faridi, W.A., Asjad, M. I., Jarad, F.: Non-linear soliton solutions of perturbed Chen–Lee–Liu model by \(\Phi ^{6}\)-model expansion approach. Opt. Quant. Electron. 54(10), Article 664 (2022)

Faridi, W.A., Asjad, M.I., Toseef, M., Amjad, T.: Analysis of propagating wave structures of the cold bosonic atoms in a zig-zag optical lattice via comparison with two different analytical techniques. Opt. Quant. Electron. 54(12), Article 773 (2022)

Gencyigit, M., Şenol, M., Koksal, M.E.: Analytical solutions of the fractional \((3+1)\)-dimensional Boiti–Leon–Manna–Pempinelli equation. Comput. Methods Differ. Equ. 11(3), 564–575 (2023)MathSciNet

Ghayad, M.S., Badra, N.M., Ahmed, H.M., Rabie, W.B.: Derivation of optical solitons and other solutions for nonlinear Schrödinger equation using modified extended direct algebraic method. Alex. Eng. J. 64, 801–811 (2023)CrossRef

Iqbal, M.S., Seadawy, A.R., Baber, M.Z.: Demonstration of unique problems from Soliton solutions to nonlinear Selkov–Schnakenberg system. Chaos Solitons Fractals 162, Article 112485 (2022)

Isah, M.A., Külahcı, M.A.: A study on null Cartan curve in Minkowski 3-space. Appl. Math. Nonlinear Sci. 5(1), 413–424 (2020)MathSciNetCrossRef

Isah, M.A., Külahçı, M.A.: Special curves according to bishop frame in minkowski 3-space. Appl. Math. Nonlinear Sci. 5(1), 237–248 (2020)MathSciNetCrossRef

Islam, M.T., Akbar, M.A., Ahmad, H., Ilhan, O.A., Gepreel, K.A.: Diverse and novel soliton structures of coupled nonlinear Schrödinger type equations through two competent techniques. Mod. Phys. Lett. B 36(11), Article 2250004 (2022)

Islam, M.T., Akter, M.A., Gomez-Aguilar, J.F., Akbar, M.A., Pérez-Careta, E.: Innovative and diverse soliton solutions of the dual core optical fiber nonlinear models via two competent techniques. J. Nonlinear Opt. Phys. Mater. 25, Article 2350037 (2023)

Islam, M.T., Akter, M.A., Gómez-Aguilar, J.F., Akbar, M.A., Perez-Careta, E.: Novel optical solitons and other wave structures of solutions to the fractional order nonlinear Schrodinger equations. Opt. Quantum Electron. 54(8), Article 520 (2022)

Islam, M.T., Akter, M.A., Ryehan, S., Gómez-Aguilar, J.F., Akbar, M.A.: A variety of solitons on the oceans exposed by the Kadomtsev Petviashvili-modified equal width equation adopting different techniques. J. Ocean Eng. Sci. (2022)

Islam, M.T., Ryehan, S., Abdullah, F.A., Gómez-Aguilar, J.F.: The effect of Brownian motion and noise strength on solutions of stochastic Bogoyavlenskii model alongside conformable fractional derivative. Optik Article 171140 (2023)

Islam, M.T., Akbar, M.A., Gómez-Aguilar, J.F., Bonyah, E., Fernandez-Anaya, G.: Assorted soliton structures of solutions for fractional nonlinear Schrodinger types evolution equations. J. Ocean Eng. Sci. 7(6), 528–535 (2022)CrossRef

Khater, M.M.: Multi-vector with nonlocal and non-singular kernel ultrashort optical solitons pulses waves in birefringent fibers. Chaos Solitons Fractals 167, Article 113098 (2023)

Khater, M.M.: Nonlinear biological population model; computational and numerical investigations. Chaos Solitons Fractals 162, Article 112388 (2022)

Kumar, C., Prakash, A.: Nonlinear interaction among second mode resonance waves in high-speed boundary layers using the method of multiple scales. Phys. Fluids 34(1), Article 014107 (2022)

Kumar, S., Kumar, A.: Abundant closed-form wave solutions and dynamical structures of soliton solutions to the \((3+1)\)-dimensional BLMP equation in mathematical physics. J. Ocean Eng. Sci. 7(2), 178–187 (2022)MathSciNetCrossRef

Kumar, S., Mohan, B., Kumar, R.: Lump, soliton, and interaction solutions to a generalized two-mode higher-order nonlinear evolution equation in plasma physics. Nonlinear Dyn. 110(1), 693–704 (2022)CrossRef

Liu, J.G., Yang, X.J., Geng, L.L., Yu, X.J.: On fractional symmetry group scheme to the higher-dimensional space and time fractional dissipative Burgers equation. Int. J. Geom. Methods Mod. Phys. 19(11), Article 2250173 (2022)

Liu, J.G., Yang, X.J.: Symmetry group analysis of several coupled fractional partial differential equations. Chaos Solitons Fractals 173, Article 113603 (2023)

Liu, J.G., Zhang, Y.F., Wang, J.J.: Investigation of the time fractional generalized (2+1)-dimensional Zakharov–Kuznetsov equation with single-power law non-linearity. Fractals 31(5), Article 2350033 (2023)

Liu, X., Zhang, H., Liu, W.: The dynamic characteristics of pure-quartic solitons and soliton molecules. Appl. Math. Model. 102, 305–312 (2022)MathSciNetCrossRef

Majid, S.Z., Faridi, W. A., Asjad, M.I., Abd El-Rahman, M., Eldin, S.M.: Explicit soliton structure formation for the riemann wave equation and a sensitive demonstration. Fract. Fract. 7(2), Article 102 (2023)

Malik, S., Hashemi, M. S., Kumar, S., Rezazadeh, H., Mahmoud, W., Osman, M.S.: Application of new Kudryashov method to various nonlinear partial differential equations. Opt. Quant. Electron. 55(1), Article 8 (2023)

Myrzakulova, Z., Nugmanova, G., Yesmakhanova, K., Myrzakulov, R.: Integrable motion of anisotropic space curves and surfaces induced by the Landau–Lifshitz equation (2022). arXiv preprint arXiv:2202.00748

Myrzakulova, Z., Nugmanova, G., Yesmakhanova, K., Serikbayev, N., Myrzakulov, R.: Integrable generalized Heisenberg ferromagnet equations with self-consistent potentials and related Yajima–Oikawa type equations (2022). arXiv preprint arXiv:2207.13520

Nayyer, S.S., Wagh, S.R., Singh, N.M.: Towards a constructive framework for stabilization and control of nonlinear systems: Passivity and immersion \((p\) &\(i)\) approach. arXiv preprint arXiv:2208.10539 (2022)

Nisar, K.S., Akinyemi, L., Inc, M., Şenol, M., Mirzazadeh, M., Houwe, A., Abbagari, S. Rezazadeh, H.: New perturbed conformable Boussinesq-like equation: Soliton and other solutions. Results Phys. 33, Article 105200 (2022)

Rizvi, S.T., Seadawy, A.R., Ali, K., Younis, M., Ashraf, M.A.: Multiple lump and rogue wave for time fractional resonant nonlinear Schrödinger equation under parabolic law with weak nonlocal nonlinearity. Opt. Quant. Electron. 54(4), Article 212 (2022)

Sagidullayeva, Z., Nugmanova, G., Myrzakulov, R., Serikbayev, N.: Integrable Kuralay equations: geometry, solutions and generalizations. Symmetry 14(7), Article 1374 (2022)

Sagidullayeva, Z., Yesmakhanova, K., Serikbayev, N., Nugmanova, G., Yerzhanov, K., Myrzakulov, R.: Integrable generalized Heisenberg ferromagnet equations in \(1+1\) dimensions: reductions and gauge equivalence (2022). arXiv preprint arXiv:2205.02073

Shaikh, T.S., Baber, M.Z., Ahmed, N., Iqbal, M.S., Akgül, A., El Din, S.M.: Acoustic wave structures for the confirmable time-fractional Westervelt equation in ultrasound imaging. Results Phys. 49, Article 106494 (2023)

Singh, S., Ray, S.S.: New analytical solutions and integrability for the \((2+1)\)-dimensional variable coefficients generalized Nizhnik–Novikov–Veselov system arising in the study of fluid dynamics via auto-Backlund transformation approach. Phys. Scr. 98(8), Article 085243 (2023)

Tao, G., Sabi’u, J., Nestor, S., El-Shiekh, R. M., Akinyemi, L., Az-Zo’bi, E., Betchewe, G.: Dynamics of a new class of solitary wave structures in telecommunications systems via a \((2+1)\)-dimensional nonlinear transmission line. Mod. Phys. Lett. B 36(19), Article 2150596 (2022)

Tarla, S., Ali, K.K., Sun, T.C., Yilmazer, R., Osman, M.S.: Nonlinear pulse propagation for novel optical solitons modeled by Fokas system in monomode optical fibers. Results Phys. 36, Article 105381 (2022)

Tarla, S., Ali, K.K., Yilmazer, R., Osman, M.S.: New optical solitons based on the perturbed Chen–Lee–Liu model through Jacobi elliptic function method. Opt. Quant. Electron. 54(2), Article 131 (2022)

Uddin, M.H., Zaman, U.H., Arefin, M.A., Akbar, M.A.: Nonlinear dispersive wave propagation pattern in optical fiber system. Chaos Solitons Fractals 64, Article 112596 (2022)

Umurzakhova, Z., Myrzakulova, Z., Myrzakulov, R., Nugmanova, G., Sergazina, A., Yesmakhanova, K.: Integrable Shynaray Equations: gauge and geometrical equivalences (2022)

Ur Rahman, R., Faridi, W.A., El-Rahman, M.A., Taishiyeva, A., Myrzakulov, R., Az-Zo’bi, E.A.: The sensitive visualization and generalized fractional solitons’ construction for regularized long-wave governing model. Fract. Fract. 7(2), Article 136 (2023)

Wazwaz, A.M., El-Tantawy, S.A.: Bright and dark optical solitons for (3+ 1)-dimensional hyperbolic nonlinear Schrödinger equation using a variety of distinct schemes. Optik 270, Article 170043 (2022)

Yokuş, A., Durur, H., Duran, S., Islam, M.T.: Ample felicitous wave structures for fractional foam drainage equation modeling for fluid-flow mechanism. Comput. Appl. Math. 41(4), Article 174 (2022)

Younas, U., Sulaiman, T.A., Ren, J.: Diversity of optical soliton structures in the spinor Bose-Einstein condensate modeled by three-component Gross–Pitaevskii system. Int. J. Mod. Phys. B 37(01), Article 2350004 (2023)

Younas, U., Sulaiman, T. A., Ren, J.: On the study of optical soliton solutions to the three-component coupled nonlinear Schrödinger equation: applications in fiber optics. Opt. Quant. Electron. 55(1), Article 72 (2023)

Zafar, A., Shakeel, M., Ali, A., Akinyemi, L., Rezazadeh, H.: Optical solitons of nonlinear complex Ginzburg–Landau equation via two modified expansion schemes. Opt. Quant. Electron. 54, 1–15 (2022)CrossRef

Zaman, U.H., Arefin, M.A., Akbar, M.A., Uddin, M.H.: Analyzing numerous travelling wave behavior to the fractional-order nonlinear Phi-4 and Allen-Cahn equations throughout a novel technique. Res. Phys. 37, Article 105486 (2022)

Zaman, U.H., Arefin, M.A., Akbar, M.A., Uddin, M.H.: Stable and effective traveling wave solutions to the non-linear fractional Gardner and Zakharov–Kuznetsov–Benjamin–Bona–Mahony equations. Partial Differ. Equ. Appl. Math. Article 100509 (2023)

Zaman, U.H., Arefin, M.A., Akbar, M.A., Uddin, M.H.: Study of the soliton propagation of the fractional nonlinear type evolution equation through a novel technique. PLoS ONE 18(5), Article e0285178 (2023)

Zaman, U.H., Arefin, M.A., Akbar, M.A., Uddin, M.H.: Analytical behavior of soliton solutions to the couple type fractional order nonlinear evolution equations utilizing a novel technique. Alex. Eng. J. 61(12), 11947–11958 (2022)CrossRef

Zayed, E.M., Al-Nowehy, A.G., Elshater, M.E.: New-model expansion method and its applications to the resonant nonlinear Schrödinger equation with parabolic law nonlinearity. Eur. Phys. J. Plus 133(10), Article 417 (2018)

Zhang, R.F., Li, M.C., Gan, J.Y., Li, Q., Lan, Z.Z.: Novel trial functions and rogue waves of generalized breaking soliton equation via bilinear neural network method. Chaos Solitons Fractals 154, Article 111692 (2022)

Zhang, C., Shi, Z.: Nonlinear wave interactions in a transitional hypersonic boundary layer. Phys. Fluids 34(11), Article 114106 (2022)

Title: Formation of optical soliton wave profiles of Shynaray-IIA equation via two improved techniques: a comparative study
Authors: Waqas Ali Faridi
Ghulam Hussain Tipu
Zhaidary Myrzakulova
Ratbay Myrzakulov
Lanre Akinyemi
Publication date: 01-01-2024
Publisher: Springer US
Published in: Optical and Quantum Electronics / Issue 1/2024
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-023-05699-4

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