【摘要】 利用非线性几何光学的方法,讨论一维情形下3×3半线性偏微分方程具有两个初始脉冲波的干扰问题.证明方程组近似解的存在性,得到脉冲波的干扰出现在一阶项中.通过对近似解进行误差分析,得到精确解的一个好的近似.更多还原

【Abstract】 In one dimension case,this paper discusses the behavior of the pulses like solutions to a 3×3 semilinear hyperbolic system with two initial waves.With the aid of nonlinear geometric optics,It derives the approximate solution to reflect the interaction of two pulse waves,which shows that the interaction appears in one order term.By analysing the error between the exact solution and the approximate solution,it comes to the conclusion that the approximate solution is a good approximation of the exact solution.更多还原