CAJ | 학술논문

介绍了一种求解非线性偏微分方程行波解的方法——双函数法。利用该方法求得一类反应扩散方程在不同情况下的新的行波解，Chaffee-Infane方程和Huxley方程作为这一类反应扩散方程的特例也得到了相应的行波解。该方法还可推广到高维非线性反应扩散方程（组）进行求解。
개소료일충구해비선성편미분방정행파해적방법——쌍함수법。이용해방법구득일류반응확산방정재불동정황하적신적행파해，Chaffee-Infane방정화Huxley방정작위저일류반응확산방정적특례야득도료상응적행파해。해방법환가추엄도고유비선성반응확산방정（조）진행구해。
A method to solve nonlinear partial differential equations is introduced. By using the double- function method, new travelling wave solutions to a kind of reaction diffusion equations are obtained under different circumstances. The corresponding travelling wave solutions for the particular case of the reaction diffusion equations, as Chaffee-Infane equation and be used to solve high-dimensional nonlinear reaction Huxley equation, are obtained. This method can also diffusion equations.