【摘要】 行波解是反应扩散方程的一种重要类型 ,其解的形式为u(x ,t) =u(x +ct) ,这里c为常数 ,表示波速 .讨论了α=3时一类广义Fisher方程行波解的存在性 ,通过待定系数法得到了它的多个显式行波解 .更多还原

【Abstract】 Traveling wave solutions make up an important class of solutions of reaction-diffusion equations. They are solutions of the form,where is a constant,the speed of the wave. In this paper,the existence of traveling wave solutions of a generalized Fisher equation is discussed when α is 3,and some explicit traveling wave solutions are obtained by determined coefficient method.更多还原