几个非线性演化方程的解析解

Analytic Solution of Seccral Nonlinear Evolution Equations

中文摘要:

      本文我们求出了K—P方程u_xt+6(uu_x)_x+u_xxxx+3k²u_yy=0和Boussinesq方程u_tt-u_xt-6(u²)_xx+u_xxxx=0的孤立波解族.求出了广义Schr?dinger方程iu_t+u_xx-u

英文摘要:

      In this paper, we obtain a family of solitary solutions for the K-P equation u_xt+6(uu_x)_x+u_xxxx+3k²u_yy=0, and the Boussinesq equation u_tt-u_xt-6(u²)_xx+u_xxxx=0, Moreover, we obtain a class of analytic solutions for the Schrodinger equation iu_t+u_xx-u_yy+β|u|²u=0, and the Klein-Gordon equation u_tt-(u_xx+u_yy)+μ²u+β|u|²u=0.