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Optical and Quantum Electronics

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01.07.2021

Optical soliton with Kudryashov’s equation via sine-Gordon expansion and Kudryashov methods

verfasst von: Khalid K. Ali, Ali Zabihi, Hadi Rezazadeh, Reza Ansari, Mustafa Inc

Erschienen in: Optical and Quantum Electronics | Ausgabe 7/2021

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Abstract

This article is concerned with analyzing exact optical soliton solutions to Kudryashov’s model. To this end, the sine-Gordon expansion and Kudryashov methods are exerted and a bunch of new optical soliton solutions is acquired. The implementation and algebraic methods are discussed in detail. Finally, singular and bright-dark soliton solutions emerge from the scheme and the existing criteria for such solutions are elucidated.

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Akinyemi, L., Senol, M., Huseen, S.N.: Modified homotopy methods for generalized fractional perturbed Zakharov–Kuznetsov equation in dusty plasma. Adv. Differ. Equ. 2021, 1–27 (2021)

Akinyemi, L., Senol, M., Iyiola, O.S.: Exact solutions of the generalized multidimensional mathematical physics models via sub-equation method. Math. Comput. Simul. 182, 211–233 (2021)

Akinyemi, L., Senol, M., Mirzazadeh, M., Eslami, M.: Optical solitons for weakly nonlocal Schrödinger equation with parabolic law nonlinearity and external potential. Optik 230, 166281 (2021)

Ali, S., Younis, M.: Rogue wave solutions and modulation instability with variable coefficient and harmonic potential. Front. Phys. 7, 255 (2020)CrossRef

Bai, C.: Exact solutions for nonlinear partial differential equation: a new approach. Phys. Lett. A 288, 191–195 (2001)ADSMathSciNetMATHCrossRef

Biswas, A., Sonmezoglu, A., Ekici, M., Alshomrani, A.S., Belic, M.R.: Optical solitons with Kudryashov’s equation by F-expansion. Optik 199, 163338 (2019)

Biswas, A., Ekici, M., Sonmezoglu, A., Alshomrani, A.S., Belic, M.R.: Optical solitons with Kudryashov’s equation by extended trial function. Optik 202, 163290 (2020a)

Biswas, A., Vega-Guzman, J., Ekici, M., Zhou, Q., Triki, H., Alshomrani, A.S., Belic, M.R.: Optical solitons and conservation laws of Kudryashov’s equation using undetermined coefficients. Optik 202, 163417 (2020b)

Dai, C.Q., Fan, Y., Zhang, N.: Re-observation on localized waves constructed by variable separation solutions of (1+1)-dimensional coupled integrable dispersionless equations via the projective Riccati equation method. Appl. Math. Lett. 96, 20–26 (2019)MathSciNetMATHCrossRef

Emplit, P., Hamaide, J.P., Reynaud, F., Froehly, C., Barthelemy, A.: Picosecond steps and dark pulses through nonlinear single mode fibers. Opt. Commun. 62, 374–379 (1987)ADSCrossRef

Ghanbari, B., Nisar,K.S., Aldhaifallah, M.: Abundant solitary wave solutions to an extended nonlinear Schrödinger’s equation with conformable derivative using an efficient integration method. Adv. Differ. Equ. 2020, 1–25 (2020)

Ghanbari, B., Yusuf, A., Baleanu, D.: The new exact solitary wave solutions and stability analysis for the (2+1)-dimensional Zakharov–Kuznetsov equation. Adv. Differ. Equ. 2019, 1–15 (2019)MathSciNetMATHCrossRef

Ghanbari, B., Inc, M., Rada, L.: Solitary wave solutions to the Tzitzeica type equations obtained by a new efficient approach. J. Appl. Anal. Comput. 9, 568–589 (2019)MathSciNetMATH

Hasegawa, A., Tappert, F.D.: Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion. Appl. Phys. Lett. 23, 142 (1973)

Hashemi, M.S., Inc, M., Bayram, M.: Symmetry properties and exact solutions of the time fractional Kolmogorov–Petrovskii–Piskunov equation. Rev. Mex. Física 65(5), 529–535 (2019)

Hashemi, M.S., Akgül, A.: Solitary wave solutions of time–space nonlinear fractional Schrödinger’s equation: two analytical approaches. J. Comput. Appl. Math. 339, 147–160 (2018)

Hosseini, K., Ayati, Z., Ansari, R.: New exact solution of the Tzitzé ica type equations in nonlinear optics using the function method. J. Mod. Opt. 65, 847–851 (2017)ADSCrossRef

Hosseini, K., Zabihi, A., Samadani, F., Ansari, R.: New explicit exact solutions of the unstable nonlinear Schrödinger’s equation using the and hyperbolic function methods. Opt. Quant. Electron. 50, 82 (2018)

Hosseini, K., Ansari, R., Samadani, F., Zabihi, A., Shafarodi, A., Mirzazadeh, M.: High-order dispersive cubic–quintic Schrödinger equation and its soliton solutions. Acta Phys. Pol. A 136, 1 (2019)CrossRef

Hubert, M.B., Betchewe, G., Doka, S.Y., Crepin, K.T.: Soliton wave solutions for the nonlinear transmission line using the Kudryashov method and the \(G^{\prime }/G\)-expansion method. Appl. Math. Comput. 234, 229–309 (2019)MATH

Hussain, A., Jhangeer, A., Abbas, N., Khan, I., Sherif, E.S.M.: Optical solitons of fractional complex Ginzburg–Landau equation with conformable, beta, and M-truncated derivatives: a comparative study. Adv. Differ. Equ. 2020, 1–19 (2020)MathSciNetCrossRef

Inc, M., Kilic, B.: The first integral method for the perturbed Wadati–Segur–Ablowitz equation with time dependent coefficient. Kuwait J. Sci. 43, 81–88 (2016)MathSciNetMATH

Inc, M., Ates, E., Tchier, F.: Optical solitons of the coupled nonlinear Schrdingers equation with spatiotemporal dispersion. Nonlinear Dyn. 85, 1319–1329 (2016)MATHCrossRef

Inc, M., Kilic, B., Baleanu, D.: Optical soliton solutions of the pulse propagation generalized equation in parabolic-law media with space-modulated coeefficients. Optik 127, 1056–1058 (2016)ADSCrossRef

Jhangeer, A., Hussain, A., Junaid-U-Rehman, M., Baleanu, D., Riaz, M.B.: Quasi-periodic, chaotic and travelling wave structures of modified Gardner equation. Chaos Solitons Fract. 143, 110578 (2021)

Khater, M.M.A., Attia, R.A., Lu, D.: Explicit lump solitary wave of certain interesting (3+1)-dimensional waves in physics via some recent traveling wave methods. Entropy 21(4), 397 (2019a)ADSMathSciNetCrossRef

Khater, M.M.A., Attia, R.A., Lu, D.: Modified auxiliary equation method versus three nonlinear fractional biological models in present explicit wave solutions. Math. Comput. Appl. 24(1), 1 (2019b)MathSciNet

Khater, M.M., Inc, M., Attia, R.A., Lu, D.: Abundant new computational wave solutions of the GM-DP-CH equation via two modified recent computational schemes. J. Taibah Univ. Sci. 14(1), 1554–1562 (2020)CrossRef

Kilic, B., Inc, M.: On optical solitons of the resonant Schrodingers equation in optical fibers with dual-power law nonlinearity and time-dependent coeffcients. Waves Random Complex Media 25, 245–251 (2015)MATHCrossRef

Korkmaz, A., Hepson, O.E., Hosseini, K., Rezazadeh, H.: Sine-Gordon expansion method for exact solutions to conformable time fractional equations in RLW-Class. J. King Saud Univ. 32(1), 567–574 (2020)CrossRef

Korpinar, Z., Inc, M., Bayram, M., Hashemi, M.S.: New optical solitons for Biswas–Arshed equation with higher order dispersions and full nonlinearity. Optik 206, 163332 (2020)

Krishnan, E.V., Kumar, S., Biswas, A.: Solitons and other nonlinear waves of the Boussinesq equation. Nonlinear Dyn. 70, 1213–1221 (2012)MathSciNetMATHCrossRef

Kudryashov, N.A.: A generalized model for description of propagation pulses in optical fiber. Int. J. Light Electron Opt. 189, 42–52 (2019)CrossRef

Kumar, S., Malik, S., Belic, M.R.: Optical solitons with Kudryashov’s equation by Lie symmetry analysis. Phys. Wave Phen. 28, 299–304 (2020)

Kumar, S., Malik, S., Biswas, A.: A re-visitation to reported results on optical solitons. Chaos Soliton Fractals 137, 109855 (2020)

Kumar, D., Hosseini, K., Samadani, F.: The sine-Gordon expansion method to look for the traveling wave solutions of the Tzitzé ica type equations in nonlinear optics. Optik 149, 439–446 (2017)ADSCrossRef

Mallenauer, L.F., Stolen, R.H., Gordon, J.P.: Experimental investigation of picosecond pulse narrowing and solitons in optical fibers. Phys. Rev. Lett. 43, 13 (1980)

Martinez, H.Y., Gomez-Aguilar, J.F., Baleanu, D.: Beta-derivative and sub-equation method applied to the optical solitons in medium with parabolic law nonlinearity and higher order dispersion. Optik 155, 357–365 (2018)ADSCrossRef

Martinez, H.Y., Rezazadeh, H., Souleymanou, A., Mukam, S.P.T., Eslami, M., Kuetche, V.K., Bekir, A.: The extended modified method applied to optical solitons solutions in birefringent fibers with weak nonlocal nonlinearity and four wave mixing. Chin. J. Phys. 58, 137–150 (2019)CrossRef

Munawar, M., Jhangeer, A., Pervaiz, A., Ibraheem, F.: New general extended direct algebraic approach for optical solitons of Biswas–Arshed equation through birefringent fibers. Optik 228, 165790 (2021)

Munusamy, K., Ravichandran, C., Nisar, K.S., Ghanbari, B.: Existence of solutions for some functional integrodifferential equations with nonlocal conditions. Math. Methods Appl. Sci. 43(17), 10319–10331 (2020)ADSMathSciNetMATHCrossRef

Musammil,N.M., Porsezian,K., Nithyanandan, K., Subha,P.A., Tchofo Dinda, P.: Ultrashort dark solitons interactions and nonlinear tunneling in the modified nonlinear Schrödinger equation with variable coefficient. Opt. Fiber Technol. 37, 11–20 (2017)

Osman, M.S., Lu, D., Khater, M.M.A., Attia, R.A.: Complex wave structures for abundant solutions related to the complex Ginzburg–Landau model. Optik 192, 162927 (2019)

Park, C., Nuruddeen, R.I., Khalid, K.A., Lawal, M., Osman, M.S., Baleanu, D.: Novel hyperbolic and exponential ansatz methods to the fractional fifth-order Korteweg–de Vries equations. Adv. Differ. Equ. 2020, 627 (2020)MathSciNetCrossRef

Qian, L., Attia, R.A., Qiu, Y., Lu, D., Khater, M.M.A.: The shock peakon wave solutions of the general Degasperis–Procesi equation. Int. J. Modern Phys. B (2019). https://doi.org/10.1142/S0217979219503508MathSciNetCrossRef

Raslan, K.R., Khalid, K.A.: A new structure formulations for cubic B-spline collocation method in three and four-dimensions. Nonlinear Eng. 9, 432–448 (2020)ADSCrossRef

Raslan, K.R., El-Danaf, T.S., Ali, K.K.: Exact solution of space-time fractional coupled EW and coupled MEW equations using modified Kudryashov method. Commun. Theor. Phys. 68, 49–56 (2017)ADSMathSciNetMATHCrossRef

Raza, N., Javid, A.: Generalization of optical solitons with dual dispersion in the presence of Kerr and quadratic–cubic law nonlinearities. Mod. Phys. Lett. B 33(01), 1850427 (2019)ADSMathSciNetCrossRef

Raza, N., Javid, A.: Optical dark and dark-singular soliton solutions of (1+2)-dimensional Chiral Nonlinear Schrödinger equation. Waves Random Complex Media 29, 496–508 (2019)ADSMathSciNetCrossRef

Raza, N., Abdullah, M., Butt, A.R., Murtaza, I.G., Sial, S.: New exact periodic elliptic wave solutions for extended quantum Zakharov–Kuznetsov equation. Opt. Quant. Electron. 50(4), 177 (2018)CrossRef

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. Mod. Phys. Lett. B 35, 2150112 (2021)ADSMathSciNetCrossRef

Rezazadeh, H., Korkmaz, A., Eslami, M., Vahidi, J., Asghari, R.: Traveling wave solution of conformable fractional generalized reaction doffing model by generalized projective Riccati equation method. Opt. Quantum Electron. 50, 150 (2018)CrossRef

Ryabov, P.N., Sinelshchikov, D.I., Kochanov, M.B.: Application of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations. Appl. Math. Comput. 218, 3965–3972 (2011)MathSciNetMATH

Saha, A., Ali, K.K., Rezazadeh, H., Ghatani, Y.: Analytical optical pulses and bifurcation analysis for the traveling optical pulses of the hyperbolic nonlinear Schrödinger equation. Opt. Quantum Electron. 53, 150 (2021)CrossRef

Seadawy, A.R., Ali, K.A.: Jian-Guo Liu, New optical soliton solutions for Fokas-Lenells dynamical equation via two various methods. Modern Phys. Lett. B (2021). https://doi.org/10.1142/S0217984921501967CrossRef

Seadawy, A.R., Bilal, M., Younis, M., Rizvi, S.T.R.: Resonant optical solitons with conformable time-fractional nonlinear Schrödinger equation. Int. J. Mod. Phys. B 35, 2150044 (2021)ADSMATHCrossRef

Senol, M., Akinyemi, L., Ata, A., Iyiola, O.S.: Approximate and generalized solutions of conformable type Coudrey–Dodd–Gibbon–Sawada–Kotera equation. Int. J. Mod. Phys. B 35, 2150021 (2021)ADSMathSciNetMATHCrossRef

Tchier, F., Aslan, E.C., Inc, M.: Optical solitons in parabolic law medium: Jacobi elliptic function solution. Nonlinear Dyn. 85, 2577–2582 (2016)MathSciNetCrossRef

Usman, A., Raza, N., Murtaza, I.G.: On soliton solutions of time fractional form of Sawada–Kotera equation. Nonlinear Dyn. 95(1), 391–405 (2019)MATHCrossRef

Yan, C.T.: A simple transformation for nonlinear waves. Phys. Lett. A 224, 77–84 (1996)

Younas, U., Younis, M., Seadawy, A.R., Rizvi, S.T.R., Althobaiti, S.: Samy Sayed, Diverse exact solutions for modified nonlinear Schrödinger equation with conformable fractional derivative are constructed. Res. Phys. 20, 103766 (2021)

Younas, B., Younis, M.: Chirped solitons in optical monomode fibres modelled with Chen-Lee-Liu equation. Pramana-J. Phys. 3, 94 (2020)

Yu, W., Ekici, M., Mirzazadeh, M., Zhou, Q., Liu, W.: Periodic oscillation of dark solitons in nonlinear optics. Optik 165, 341–344 (2018)ADSCrossRef

Titel: Optical soliton with Kudryashov’s equation via sine-Gordon expansion and Kudryashov methods
verfasst von: Khalid K. Ali
Ali Zabihi
Hadi Rezazadeh
Reza Ansari
Mustafa Inc
Publikationsdatum: 01.07.2021
Verlag: Springer US
Erschienen in: Optical and Quantum Electronics / Ausgabe 7/2021
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-021-02998-6

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