Bifurcation Analysis and Soliton Solutions to the Kuralay Equation Via Dynamic System Analysis Method and Complete Discrimination System Method

• Jing Liu ^[1] ; Zhao Li ^[2]
  1. [1] Officers College of PAP
  2. [2] Chengdu University
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 3, 2024
• Idioma: inglés
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• Resumen

  • In this paper, the dynamical system bifurcation theory approach are employed to investigate the phase diagrams of the magnet-optic wave guides in Kuralay. With the use of the complete discrimination system, we obtain some new traveling wave solutions, including kink solitary, convex-periodic, Jacobian elliptic function solutions, dark-soliton and implicit analytical solutions. More details about the physical dynamical representation of the presented solutions are illustrated with profile pictures. We use Mathematica and Maple to plot three-dimensional diagrams, contour plots and two-dimensional diagrams to obtain complete configurations. This paper show that the fully discriminative system approach is simple and efficient method to reach the various type of the soliton solutions, provide a more powerful mathematical tool to solve many other nonlinear partial differential equations with the help of symbolic computation and computers.