Open AccessFinding conserved quantities of three-dimensional second-order nonlinear coupled dynamics systems by the extended Prelle-Singer method
Author(s) -
Lou Zhi-Mei
Publication year - 2010
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.59.3633
Subject(s) - conserved quantity , nonlinear system , constraint (computer aided design) , physics , order (exchange) , lattice (music) , expression (computer science) , mathematical analysis , classical mechanics , mathematics , computer science , quantum mechanics , geometry , finance , acoustics , economics , programming language
In this paper, the extended Prelle-Singer (P-S) method is employed to finding the conserved quantities of three-dimensional second-order nonlinear coupled dynamic systems, the determining equations, the constraint equations of integral factors and the general expression of conserved quantities are obtained. The calculation method of integral factors is disscussed. Finally, two conserved quantities of three-particles Tada crystal lattice problem are found by extended P-S method.