论文标题
集成系统:从逆光谱变换到零曲率条件
Integrable systems: From the inverse spectral transform to zero curvature condition
论文作者
论文摘要
此\ texquoteleft研究 - 调查'''是针对可集成系统研究的初学者的。在这里,我们概述了一些分析方法,用于处理一类非线性偏微分方程。我们特别注意\ texquoteleft的反光谱变换',\ texquoteleft lax对表示'和\ textquoteleft零外展状态',应用于这些方程式。我们提供了许多有趣的例子,以获得一些介绍方法的物理数学感觉。
This \textquoteleft research-survey' is meant for beginners in the studies of integrable systems. Here we outline some analytical methods for dealing with a class of nonlinear partial differential equations. We pay special attention to \textquoteleft inverse spectral transform', \textquoteleft Lax pair representation', and \textquoteleft zero-curvature condition' as applied to these equations. We provide a number of interesting examples to gain some physico-mathematical feeling for the methods presented.