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Abdoud, M.A., Owyed, S., Abdel-Aty, A., Raffan, B.M. and Abdel-Khalek, S. (2020) Optical Soliton Solutions for a Space-Time Fractional Perturbed Nonlinear Schrödinger Equation Arising in Quantum Physics. Results in Physics, 16, Article ID: 102895.
https://doi.org/10.1016/j.rinp.2019.102895

has been cited by the following article:

• TITLE: An Extended Riccati Equation Method to Find New Solitary Wave Solutions of the Burgers-Fisher Equation

  AUTHORS: Yixinni Liu, Hongyan Pan

  KEYWORDS: Solitary Wave, Soliton, Burger-Fisher Equation, Riccati Equation, Nonlinear Evolution Equation

  JOURNAL NAME: Open Journal of Applied Sciences, Vol.13 No.8, August 31, 2023

  ABSTRACT: In this paper, our objective is to explore novel solitary wave solutions of the Burgers-Fisher equation, which characterizes the interplay between diffusion and reaction phenomena. Understanding this equation is crucial for addressing challenges in fluid, chemical kinetics and population dynamics. We tackle this task by employing the Riccati equation and employing various function transformations to solve the Burgers-Fisher equation. By adopting different coefficients in the Riccati equation, we obtain a wide range of exact solutions, many of which have not been previously documented. These abundant solitary wave solutions serve as valuable tools for comprehending the Burgers-Fisher equation and contribute to expanding our knowledge in this field.