Small Fluctuations in $\lambda \phi^{n+1}$ Theory in a Finite Domain: An Hirota's Method Approach

Autor:	Gama, M. C., Carrillo, J. A. Espichán, Maia Jr, A.
Rok vydání:	2008
Předmět:	High Energy Physics - Theory
Druh dokumentu:	Working Paper
Popis:	We present a method to calculate small stationary fluctuations around static solutions describing bound states in a $(1+1)$-dimensional $\lambda \phi^{n+1}$ theory in a finite domain. We also calculate explicitly fluctuations for the $\lambda \phi^4$. These solutions are written in terms of Jacobi Elliptic functions and are obtained from both linear and nonlinear equations. For the linear case we get eingenvalues of a Lam\'e type Equation and the nonlinear one relies on Hirota's Method. Comment: 10 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0807.0269 Zobrazit plný text záznamu View this record from Arxiv