Approximate double-periodic solutions in (1+1)-dimensionalϗ 4-theory

Autor:	S. Yu. Vernov, O.A. Khrustalev
Rok vydání:	1998
Předmět:	Principal (computer security) Mathematical analysis Elliptic function Statistical and Nonlinear Physics Resonance problem Jacobi elliptic functions Term (time) symbols.namesake Nonlinear system Zero mass Poincaré conjecture symbols Mathematical Physics Mathematics
Zdroj:	Theoretical and Mathematical Physics. 116:881-889
ISSN:	1573-9333 0040-5779
DOI:	10.1007/bf02557130
Popis:	Double-periodic solutions of the Euler-Lagrange equation for the (1+1)-dimensional scalarϗ4-theory are considered. The nonlinear term is assumed to be small, and the Poincare method is used to seek asymptotic solutions in the standing-wave form. The principal resonance problem, which arises for zero mass, is resolved if the leading-order term is taken in the form of a Jacobi elliptic function.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c8a107c4525b033b95e37ae09da881ad https://doi.org/10.1007/bf02557130 Zobrazit plný text záznamu Full text from SpringerLink