一类广义Boussinesq型方程的初边值问题

Initial Boundary Value Problem of a Class of Generalized Boussinesq Type Equation

研究一类广义Boussinesq型方程vtt-vxx=(cvpx+dvqx-bvxxx) x+fvxt+gvxxt的初边值问题 ,得到了整体广义解的存在性及唯一性 ,这里p ,q∈Z+,c ,d ,b ,f,g是常数 ,b >0 ,g >0。

This paper studied the existence and uniqueness of the solution for the initial boundary value problem of a class of Boussinesq type v tt-v xx=(cv p x+dv q x-bv xxx) x+fv xt+gv xxt,where b>0,g>0,c,d,b,f and g are constants.p,q∈Z +.