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

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Abstract

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.

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Funding

This work was supported by Scientific Research Funds of Chengdu University (Grant No. 2081923024).

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  1. Officers College of PAP, Chengdu, 610213, China

    Jing Liu

  2. College of Computer Science, Chengdu University, Chengdu, 610106, People’s Republic of China

    Zhao Li

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  1. Jing Liu
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Jing Liu: the main manuscript text. Zhao Li: software.

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Correspondence to Zhao Li.

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Liu, J., Li, Z. Bifurcation Analysis and Soliton Solutions to the Kuralay Equation Via Dynamic System Analysis Method and Complete Discrimination System Method. Qual. Theory Dyn. Syst. 23, 126 (2024). https://doi.org/10.1007/s12346-024-00990-5

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