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

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.

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