DOI: 10.36347/sjpms

Pages: 172-175

We study the exact solutions to the generalized Ginzburg-Landau equation with high-order nonlinear term in this paper, After the travelling wave transformation, the equation is reduced to an integrable ordinary differential equation under the simple transform. And then using a complete discrimination system for polynomial, we obtain the classifications of all single travelling wave solutions to the generalized Ginzburg-Landau equation with high-order nonlinear term. Keywords: Ginzburg-Landau equation, the travelling wave transformation, complete discrimination system for polynomial, exact solutions