Iterative method for solving nonlinear integral equations describing rolling solutions in String Theory

Abstract

We consider a nonlinear integral equation with infinitely many derivatives that appears when a system of interacting open and closed strings is investigated if the nonlocality in the closed string sector is neglected. We investigate the properties of this equation, construct an iterative method for solving it, and prove that the method converges.

11 pages, 2 figures

References in corpus (5)

• On the Nonlinear Dynamical Equation in the p-adic String Theory
• Time Evolution in Superstring Field Theory on non-BPS brane.I. Rolling Tachyon and Energy-Momentum Conservation
• Tachyon condensation in open-closed p-adic string theory
• Toward Open-Closed String Theoretical Description of Rolling Tachyon
• Energy Flow from Open to Closed Strings in a Toy Model of Rolling Tachyon

Cited by in corpus (4)

• Dynamics in Nonlocal Cosmological Models Derived from String Field Theory
• Dynamics with Infinitely Many Time Derivatives in Friedmann-Robertson-Walker Background and Rolling Tachyon
• Stringy Model of Cosmological Dark Energy
• Pure Gauge Configurations and Tachyon Solutions to String Field Theories Equations of Motion