标题： 好布修斯方程的除数渐进行为 显示英文标题

标题： Asymptotics of the divisor for the good Boussinesq equation

摘要： 我们考虑在三点狄利克雷条件下的一种三阶算子。 其谱是所谓的辅助谱，用于良好的博辛内斯方程，同时，单位区间上薛定谔算子的狄利克雷谱是周期性KdV方程的辅助谱。 辅助谱由除子点在谱平面上的投影形成。 我们根据小算子系数估计谱和相应的归一化常数。 这项工作是系列论文中的第一篇，致力于解决博辛内斯方程的逆问题。 显示英文摘要

摘要： We consider a third order operator under the three-point Dirichlet condition. Its spectrum is the so-called auxiliary spectrum for the good Boussinesq equation, as well as the Dirichlet spectrum for the Schr\"odinger operator on the unit interval is the auxiliary spectrum for the periodic KdV equation. The auxiliary spectrum is formed by projections of the points of the divisor onto the spectral plane. We estimate the spectrum and the corresponding norming constants in terms of small operator coefficients. This work is the first in a series of papers devoted to solving the inverse problem for the Boussinesq equation.