SYMMETRIES AND 1ST INTEGRALS FOR NONLINEAR DYNAMIC-SYSTEMS - HILBERT-SPACE APPROACH .2. PARTIAL-DIFFERENTIAL EQUATIONS

被引:7
作者
KOWALSKI, K
STEEB, WH
机构
来源
PROGRESS OF THEORETICAL PHYSICS | 1991年 / 85卷 / 05期
关键词
D O I
10.1143/PTP.85.975
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this second part we extend the Hilbert space approach to the case of the infinite number of degrees of freedom. The linear problems in a Hilbert space connected with investigation of symmetries and first integrals for nonlinear partial differential equations are described. The boson realizations of Lie algebras of flows and invariants for nonlinear evolution equations are introduced.
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页码:975 / 983
页数:9
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