Compact Shock Impulses in Models with V-shaped Potentials

TL;DR

This paper introduces a new class of solutions in the signum-Klein-Gordon model that combine shock wave and compacton features, expanding understanding of scalar field behaviors with V-shaped potentials.

Contribution

It presents a novel class of solutions merging shock wave and compacton properties in scalar field models with V-shaped potentials.

Findings

Solutions exhibit combined shock and compacton characteristics.

The solutions expand the known behaviors of scalar fields with V-shaped potentials.

Potential applications in nonlinear wave dynamics.

Abstract

A new class of solutions in the signum-Klein-Gordon model is presented. Our solutions merge properties of shock waves and compactons that appear in scalar field models with V-shaped potentials.