Energy-dependent potentials revisited: A universal hierarchy of hydrodynamic type

被引：34

作者：

Martínez Alonso, L. ^{[1
]}

Shabat, A.B. ^{[2
]}

机构：

[1] Departamento de Física Teórica II, Universidad Complutense, E28040 Madrid, Spain

[2] Landau Institute for Theoretical Physics, RAS, Moscow 117 334, Russia

来源：

Physics Letters, Section A: General, Atomic and Solid State Physics | 2002年 / 300卷 / 01期

关键词：

Different class - Energy dependent - Infinite-dimensional system - Integrable systems - Spectral problem - Type reduction;

D O I：

10.1016/S0375-9601(02)00703-X

中图分类号：

学科分类号：

摘要：

A hierarchy of infinite-dimensional systems of hydrodynamic type is considered and a general scheme for classifying its reductions is provided. Wide families of integrable systems including, in particular, those associated with energy-dependent spectral problems of Schrödinger type, are characterized as reductions of this hierarchy. N-phase type reductions and their corresponding Dubrovin equations are analyzed. A symmetry transformation connecting different classes of reductions is formulated. © 2002 Elsevier Science B.V. All rights reserved.

引用

页码：58 / 64