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.
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页码：58 / 64
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