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<p>Two impressive, effective techniques namely the Ricatti–Bernoulli Sub-Ordinary Differential Equation Method and the Extended Simple Equation Method have been used to extract the solitary wave solutions of the Laser Radiation Propagation in a Dual-Waveguide Lattice with linear gain and nonlinear losses. The dissipative solitons optical properties for one-dimensional laser radiation in a dual-waveguide lattice via the suggested model have been investigated before for the first time by using Newton iterative method. Through our study we innovate new forms of solitary solutions to this model that show the optical properties of dissipative solitons. Under suitable choice parameters, we can realize the balance between nonlinear losses and linear localized gain. The 2D and 3D behavior simulations for all achieved solutions have been documented via the Mathematica program.</p>

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New Dissipative Solitons Arising in a Dual-Waveguide Lattice Laser Radiation Propagation Model with Linear Gain and Nonlinear Losses

  • 期刊论文

  • 发表日期：

    2025年7月10日

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  • Emad H. M. Zahran,
  • Ahmet Bekir,
  • Maha S. M. Shehata

摘要

Two impressive, effective techniques namely the Ricatti–Bernoulli Sub-Ordinary Differential Equation Method and the Extended Simple Equation Method have been used to extract the solitary wave solutions of the Laser Radiation Propagation in a Dual-Waveguide Lattice with linear gain and nonlinear losses. The dissipative solitons optical properties for one-dimensional laser radiation in a dual-waveguide lattice via the suggested model have been investigated before for the first time by using Newton iterative method. Through our study we innovate new forms of solitary solutions to this model that show the optical properties of dissipative solitons. Under suitable choice parameters, we can realize the balance between nonlinear losses and linear localized gain. The 2D and 3D behavior simulations for all achieved solutions have been documented via the Mathematica program.