Long range scattering for the cubic Dirac equation on ${\mathbf{R}}^{1+1}$

Abstract

We show that the cubic Dirac equation, also known as the Thirring model, scatters at infinity to a linear solution modulo a phase correction.

References updated and minor changes to introduction

Cited by in corpus (5)

• Asymptotics for 1D Klein-Gordon equations with variable coefficient quadratic nonlinearities
• Integrable semi-discretization of the massive Thirring system in laboratory coordinates
• Decay and asymptotics for the 1D Klein-Gordon equation with variable coefficient cubic nonlinearities
• Long-time asymptotics for the Massive Thirring model
• Local smooth solutions of the nonlinear Klein-gordon equation