非线性波动方程新的精确解

The new exact solutions of nonlinear wave equation

用形式变量分离方法并结合齐次平衡思想得到一类广泛的非线性波动方程utt -a1uxx +a2 ut+a3 u +a4 u3 =0的若干孤波解 ,给出了一些新的精确解析解 .

Some solitary wave solutions for a class of nonlinear wave equationu tt -a 1u xx +a 2u t+a 3u+a 4u 3=0are obtained by the usual formally variable separation approach and homogeneous balance method,where some new exact analytical solutions of the equation are also given.