$K$-field kinks: stability, exact solutions and new features

TL;DR

This paper investigates noncanonical scalar field models in 1+1 dimensions, deriving stability criteria, constructing kink solutions, and comparing their properties with canonical models to reveal new features.

Contribution

It introduces a general stability criterion and first-order formalism for noncanonical scalar field kinks, expanding understanding of their stability and structure.

Findings

Derived a general stability criterion for noncanonical kinks.

Constructed explicit kink solutions for specific models.

Compared linear stability structures with canonical kinks.

Abstract

We study a class of noncanonical real scalar field models in $(1+1)$-dimensional flat space-time. We first derive the general criterion for the classical linear stability of an arbitrary static soliton solution of these models. Then we construct first-order formalisms for some typical models and derive the corresponding kink solutions. The linear structures of these solutions are also qualitatively analyzed and compared with the canonical kink solutions.