一个非线性波动方程的精确解

The Exact Solutions of a Nonlinear Wave Equation

用齐次平衡方法求出了一个１＋１维非线性波动方程的精确解，几个有重要应用的非线性数学物理方程可作为该方程的特别情形，所得结果被推广到ｎ＋１维空间情形．

The exact solutions of a nonlinear wave equaion in 1+1 dimensional case are givenby using a homogeneous balance method. Several important nonlinear equations of mathematical physics can be taken as the special cases of the nonlinear wave equation considered here. The results obtained are generalized to n+1 dimensional case.