Solitonic traveling waves in Galileon theory

TL;DR

This paper demonstrates that Galileon theory admits solitonic traveling wave solutions, using Hirota's method, providing evidence for the theory's integrability and expanding understanding of its nonlinear wave phenomena.

Contribution

The paper introduces explicit multi-Galileon and breather solutions, showing the integrability of Galileon theory through the Hirota method.

Findings

Galileon traveling waves are solitons

Galileon theory is integrable

Explicit multi-soliton solutions obtained

Abstract

This work deals with traveling waves in the two-dimensional Galileon theory. We use the Hirota procedure to calculate one-Galileon, two-Galileon, three-Galileon and breather-like Galileon solutions in the theory under consideration. The results offer strong evidence that the Galileon traveling waves are solitons, and that the Galileon theory is integrable.