Exact Traveling Wave Solutions and Their Properties for the(1+1)Dimensional KdV-mKdV Equation
Using the plane Dynamical systems theory method,the traveling wave solutions of the(1+1)dimensional KdV-mKdV equation are qualitatively analyzed,and the existence,number and behavior of the traveling wave solutions of the equation under different parameter conditions are obtained.By using an improved hyperbolic function expansion method,the exact expressions of rational function so-lution,hyperbolic function solutions,and trigonometric function solutions for the(1+1)dimensional KdV-mKdV equation were obtained,and the behavior analysis of the exact solutions was given.
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