Klaus M, Shaw J K
Department of Mathematics, Virginia Tech, Blacksburg, Virginia 24061-0123, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Mar;65(3 Pt 2B):036607. doi: 10.1103/PhysRevE.65.036607. Epub 2002 Feb 11.
Zakharov-Shabat systems with single-hump and real, but not necessarily symmetric, potentials are shown to have purely imaginary eigenvalues only. Coupled with examples of double-hump potentials with nonimaginary eigenvalues, this establishes that confinement of Zakharov-Shabat eigenvalues to the imaginary axis is a characteristic of potentials whose energy is concentrated in a single region of the time axis.
具有单峰且实（但不一定对称）势的扎哈罗夫 - 沙巴特系统被证明仅具有纯虚特征值。结合具有非虚特征值的双峰势的例子，这表明扎哈罗夫 - 沙巴特特征值限制在虚轴上是能量集中在时间轴单个区域的势的一个特征。
