Soliton Solutions of High-order Nonlinear Schrödinger Equations with Different Laws of Nonlinearities

Abstract

In the present paper, high-order nonlinear Schrödinger equations in non-Kerr law media with different laws of nonlinearities are studied. In this respect, after considering a complex envelope and distinguishing the real and imaginary portions of the models, describing the propagation of solitons through nonlinear optical fibers, their soliton solutions are obtained using the well-organized new Kudryashov method. It is believed that the new Kudryashov method provides an effective mathematical tool to look for soliton solutions of high-order nonlinear Schrödinger equations.

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Correspondence to Kamyar Hosseini or Mashaallah Matinfar or Mohammad Mirzazadeh.

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MSC2010

35G20, 35C08

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Hosseini, K., Matinfar, M. & Mirzazadeh, M. Soliton Solutions of High-order Nonlinear Schrödinger Equations with Different Laws of Nonlinearities. Regul. Chaot. Dyn. 26, 105–112 (2021). https://doi.org/10.1134/S1560354721010068

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Keywords

  • high-order nonlinear Schrödinger equations
  • non-Kerr law media
  • different laws of nonlinearities
  • new Kudryashov method
  • soliton solutions