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Bifurcation Analysis and Single Traveling Wave Solutions of the Variable-Coefficient Davey–Stewartson System

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  • Tianyong Han
  • Jiajin Wen
  • Zhao Li
  • Rigoberto Medina

Abstract

This paper mainly studies the bifurcation and single traveling wave solutions of the variable-coefficient Davey–Stewartson system. By employing the traveling wave transformation, the variable-coefficient Davey–Stewartson system is reduced to two-dimensional nonlinear ordinary differential equations. On the one hand, we use the bifurcation theory of planar dynamical systems to draw the phase diagram of the variable-coefficient Davey–Stewartson system. On the other hand, we use the polynomial complete discriminant method to obtain the exact traveling wave solution of the variable-coefficient Davey–Stewartson system.

Suggested Citation

  • Tianyong Han & Jiajin Wen & Zhao Li & Rigoberto Medina, 2022. "Bifurcation Analysis and Single Traveling Wave Solutions of the Variable-Coefficient Davey–Stewartson System," Discrete Dynamics in Nature and Society, Hindawi, vol. 2022, pages 1-6, January.
    • Handle: RePEc:hin:jnddns:9230723
    DOI: 10.1155/2022/9230723
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    Cited by:

    1. Han, Tianyong & Li, Zhao & Li, Chenyu, 2023. "Bifurcation analysis, stationary optical solitons and exact solutions for generalized nonlinear Schrödinger equation with nonlinear chromatic dispersion and quintuple power-law of refractive index in ," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).

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