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An exploration of novel soliton solutions for propagation of pulses in an optical fiber

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Abstract

In this article, the propagation of pulses in optical fiber has been studied by considering the nonlinear partial differential equation (NPDE). The proposed model is investigated using two analytical techniques namely the Sine-Gordon expansion (SGE) procedure and the modified auxiliary equation (MAE) method. The trigonometric function, hyperbolic function, and rational function solutions have been extracted from the proposed methods. The employed procedures are compatible in obtaining traveling wave solutions. Moreover, the obtained results are assisted with 3D graphs to demonstrate the physical significance and dynamical behaviors by using different parameter values.

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References

  • Akbulut, A., Tascan, F.: Trivial conservation laws and solitary wave solution of the fifth order Lax equation. Chaos Solitons Fractals 100, 1–6 (2017a)

    Article  ADS  MathSciNet  Google Scholar 

  • Akbulut, A., Tascan, F.: Application of conservation theorem and modified extended tanh-function method to (1+1)-dimensional nonlinear coupled Klein-Gordon-Zakharov equation. Chaos Solitons Fractals 104, 33–40 (2017b)

    Article  ADS  MathSciNet  Google Scholar 

  • Akbulut, A., Kaplan, M., Kaabar, M.K.A.: New conservation laws and exact solutions of the special case of the fifth-order KdV equation. J. Ocean Eng. Sci. (2021a). https://doi.org/10.1016/j.joes.2021.09.010

    Article  Google Scholar 

  • Akbulut, A., Tascan, F., Ozel, E.: Trivial conservation laws and solitary wave solution of the fifth order Lax equation. Partial Differ. Equ. Appl. Math. 4, 100101 (2021b)

    Article  Google Scholar 

  • Akbulut, A., Islam, S.R., Rezazadeh, H., Tascan, F.: Obtaining exact solutions of nonlinear partial differential equations via two different methods. Int. J. Mod. Phys. B 36(05), 2250041 (2022)

    Article  ADS  Google Scholar 

  • Akinyemi, L., Rezazadeh, H., Shi, Q.H., Inc, M., Khater, M.M.A., Ahmad, H., Jhangeer, A., Akbar, M.A.: New optical solitons of perturbed nonlinear Schrodinger-Hirota equation with spatio-temporal dispersion. Res. Phys. 29(7), 104656 (2021)

    Google Scholar 

  • Aksoy, E., Kaplan, M., Bekir, A.: Exponential rational function method for space-time fractional differential equations. Waves Random Complex Media 262, 142–151 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  • Alquran, M., Krishnan, E.V.: Applications of sine-Gordon expansion method for a reliable treatment of some nonlinear wave equations. Nonlinear Stud. 23(4), 639–649 (2016)

    MathSciNet  MATH  Google Scholar 

  • Durur, H., Kurt, A., Tasbozan, O.: New travelling wave solutions for KdV6 equation using sub equation method. Appl. Math. Nonlinear Sci. 5(1), 455–460 (2020)

    Article  MathSciNet  Google Scholar 

  • Hosseini, K., Pouyanmehr, R., Ansari, R.: Multiple complex and real soliton solutions to the new integrable (2+1) dimensional Hirota-Satsuma-Ito equation. Comput. Sci. Eng. 1(2), 91–97 (2021)

    Google Scholar 

  • Hosseini, K., Akbulut, A., Baleanu, D., Salahshour, S.: The Sharma-Tasso-Olver-Burgers equation: its conservation laws and kink solitons. Commun. Theor. Phys. 74, 025001 (2022)

    Article  ADS  MathSciNet  Google Scholar 

  • Inc, M., Aliyu, A.I., Yusuf, A., Baleanu, D.: Optical solitons for Biswas-Milovic model in nonlinear optics by sine-Gordon equation method. Optik 157, 267–274 (2018)

    Article  ADS  Google Scholar 

  • Inc, M., Az-Zo’bi, E.A., Jhangeer, A., Rezazadeh, H., Ali, M.N., Kaabar, M.K.A.: New soliton solutions for the higher-dimensional non-local Ito Eequation. Nonlinear Eng. 10, 374–384 (2021)

    Article  ADS  Google Scholar 

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

    MathSciNet  Google Scholar 

  • Kumar, S.: Some new families of exact solitary wave solutions of the Klein-Gordon-Zakharov equations in plasma physics. Pramana 95, 1–15 (2021)

    Article  ADS  Google Scholar 

  • Ma, W.X., Osman, M.S., Arshed, S., Raza, N., Srivastava, H.M.: Practical analytical approaches for finding novel optical solitons in the single-mode fibers. Chin. J. Phys. 72, 475–486 (2021)

    Article  MathSciNet  Google Scholar 

  • Mirzazadeh, M., Akbulut, A., Tascan, F., Akinyemi, L.: A novel integration approach to study the perturbed Biswas-Milovic equation with Kudryashov’s law of refractive index. Optik 252, 168529 (2022)

  • Osman, M.S., Baleanu, D., Tariq, K. Ul-Haq., Kaplan, M., Younis, M., Rizvi, S.T.R.: Different types of progressive wave solutions via the 2D-chiral nonlinear Schrödinger equation. Front. Phys. 8, 215 (2020)

    Article  Google Scholar 

  • Raza, N., Seadawy, A.R., Kaplan, M., Butt, A.R.: Symbolic computation and sensitivity analysis of nonlinear Kudryashovs dynamical equation with applications. Phys. Scr. 96, 105216 (2021)

    Article  ADS  Google Scholar 

  • Sun, Y.L., Chen, J., Ma, W.X., Yu, J.P., Khalique, C.M.: Further study of the localized solutions of the (2+1)-dimensional B-Kadomtsev-Petviashvili equation. Commun. Nonlinear Sci. Numer. Simul. 107, 106131 (2022)

    Article  MathSciNet  Google Scholar 

  • Wazwaz, A.M.: The tanh method: solitons and periodic solutions for the Dodd-Bullough-Mikhailov and the Tzitzeica-Dodd-Bullough equations. Chaos Solitons Fractals 25(1), 55–63 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  • Yasar, E., Yildirim, Y., Yasar, E.: New optical solitons of space time conformable fractional perturbed Gerdjikov-Ivanov equation by sine-Gordon equation method. Res. Phys. 9, 1666–1672 (2018)

    Google Scholar 

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Correspondence to Melike Kaplan.

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Raza, N., Arshed, S., Kaplan, M. et al. An exploration of novel soliton solutions for propagation of pulses in an optical fiber. Opt Quant Electron 54, 462 (2022). https://doi.org/10.1007/s11082-022-03861-y

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