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arXiv · 0807.0269

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

M. C. Gama·J. A. Espichán Carrillo·A. Maia Jr
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Abstract

We present a method to calculate small stationary fluctuations around static solutions describing bound states in a $(1+1)$-dimensional $λϕ^{n+1}$ theory in a finite domain. We also calculate explicitly fluctuations for the $λϕ^4$. 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 Lamé type Equation and the nonlinear one relies on Hirota's Method.

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M. C. Gama, J. A. Espichán Carrillo, A. Maia Jr. 2008-07-02. Small Fluctuations in $λϕ^{n+1}$ Theory in a Finite Domain: An Hirota's Method Approach. https://arxiv.org/abs/0807.0269

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