It is shown that at the high-frequency limit, the evolution of the wave is governed by a nonlinear evolution equation, which is an extension of the well-known Benjamin-Ono equation.

• 在高频率假设下,分析得到控制波的演化的非线性方程,且该方程是著名的Benjamin-Ono方程的推广,并对新的方程进行了数值计算,得到简单孤立波解。