Method of finding analytical solutions to some nonlinear differential equations of dissipative critical dynamics

Autor:	Tuszynski Ja, Vos K
Rok vydání:	1992
Předmět:	Physics Class (set theory) Differential equation Anharmonicity Dynamics (mechanics) Kinetic theory of gases Dissipative system Applied mathematics Nonlinear differential equations Atomic and Molecular Physics and Optics Mathematical physics
Zdroj:	Physical review. A, Atomic, molecular, and optical physics. 46(8)
ISSN:	1050-2947
Popis:	In this paper we develop a method of finding analytical solutions to the class of nonlinear ordinary differential equations given by f«+A (f)f'+B(f)f' 2 +C(f)=0. These types of equations appear frequently in mathematical physics and its applications to the kinetics of dissipative critical systems. Except for very special cases, little is known about their analytical solutions. Following a presentation of the method and its results, several particular examples are investigated in some detail
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3fe45c3f527d20673e9858a4028cd5ad https://pubmed.ncbi.nlm.nih.gov/9908674 Zobrazit plný text záznamu