一类非线性晶体界面表面波的渐近解

Asymptotic Solution on a Class of Nonlinear Surface Waves along the Boundary of Crystal

研究了一类晶体界面非线性表面波。首先考虑了对应的晶体界面表面波方程,引入一个新的具有限制变量的泛函,并求出其变分。再利用变分原理,构造了一个经过改进后的广义变分迭代式。然后选取相应问题解的初始函数,并由新的迭代关系式依次求出各次渐近解析解。举例说明了用本方法求得的渐近解具有较好的近似度。最后叙述了得到的渐近解的物理意义。

A class of nonlinear surface waves along the boundary of crystal is studied. Firstly,the surface wave equation along the boundary of crystal is built. Leading into a functional with the new restricted variation and its variational is calculated. Secondly,a new improved generalized variational iteration is structured. Then the initial function of solution for corresponding problem is structured. From the new variational iteration,the each time asymptotic analytic solution is found successively. And from example,the accuracy of solution is very good by using this method. Finally,the physical meaning of obtained asymptotic solution is related.