Integrability of a generalized short pulse equation revisited

TL;DR

This paper extends the generalized short pulse equation, discovering two new integrable nonlinear wave equations that can be transformed into linear Klein-Gordon equations, thus broadening the understanding of integrable systems.

Contribution

It introduces two novel integrable nonlinear wave equations derived from a generalized short pulse equation, expanding the class of solvable models.

Findings

Two new integrable nonlinear wave equations identified.

Both equations are transformable to linear Klein-Gordon equations.

The work broadens the scope of integrable systems related to short pulse equations.

Abstract

We further generalize the generalized short pulse equation studied recently in [Commun. Nonlinear Sci. Numer. Simulat. 39 (2016) 21-28; arXiv:1510.08822], and find in this way two new integrable nonlinear wave equations which are transformable to linear Klein-Gordon equations.