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

Tianyong Han, Jiajin Wen, Zhao Li and Rigoberto Medina

Discrete Dynamics in Nature and Society, 2022, vol. 2022, 1-6

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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:9230723

DOI: 10.1155/2022/9230723

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