论文标题
riemann-hilbert的方法，用于具有阶梯状边界条件的改良的Camassa-Holm方程
A Riemann-Hilbert approach to the modified Camassa-Holm equation with step-like boundary conditions
论文作者
论文摘要
该论文旨在开发针对线条条件的线条上修饰的Camassa-Holm（MCH）方程的Riemann-Hilbert（RH）方法，当时假定溶液在线的不同侧面接近两个不同的常数。我们介绍了与MCH方程的Cauchy问题的初始数据相关的光谱函数的详细属性，并根据相关的RH问题的解决方案获得了该问题解决方案的表示。
The paper aims at developing the Riemann-Hilbert (RH) approach for the modified Camassa-Holm (mCH) equation on the line with non-zero boundary conditions, in the case when the solution is assumed to approach two different constants at different sides of the line. We present detailed properties of spectral functions associated with the initial data for the Cauchy problem for the mCH equation and obtain a representation for the solution of this problem in terms of the solution of an associated RH problem.
