SEPARABILITY AND LAX PAIRS FOR THE 2-DIMENSIONAL HAMILTONIAN SYSTEM WITH A QUARTIC POTENTIAL

被引：7
|
作者：
ROMEIRAS, FJ [1 ]
机构：
[1] Univ Tecn Lisboa, CTR ELECTRODINAM, INST SUPER TECN, P-1096 LISBON, PORTUGAL
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 1995年 / 36卷 / 07期
关键词：
D O I：
10.1063/1.530981
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The two-dimensional Hamiltonian system with a quartic potential is known to be integrable in four cases, that is, for four sets of parameter values. In three of these cases the system is also known to be separable. In this paper, separating variables for the fourth integrable case are obtained, allowing its solution in terms of elliptic functions. Lax pairs with a spectral parameter for the four integrable cases are also obtained. (C) 1995 American institute of Physics
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页码：3559 / 3565
页数：7
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