Bifurcation analysis and single traveling wave solutions of the variable-coefficient Davey-Stewartson system
Summary: 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.
scientific article; zbMATH DE number 7468576