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

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.

14 pages, 3 figures

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Cited by in corpus (14)

• Tensor perturbations of $f(T)$-branes
• BPS soliton-impurity models and supersymmetry
• Kinklike structures in models of the Dirac-Born-Infeld type
• Explicit kinks in higher-order field theories
• The BPS property and its breaking in 1+1 dimensions
• Collision of two kinks with inner structure
• Gravitational resonances on $f(T)$-branes
• Kink-antikink collision in a Lorentz-violating ${\varphi }^4$ model
• Linear Stability of $f(R,\varphi ,X)$ Thick Branes: Tensor Perturbations
• Singular Pöschl-Teller II potentials and gravitating kinks
• Cosmological twinlike models with multi scalar fields
• Matching the linear spectra of twinlike defects
• Kink Collision in the Noncanonical ${\phi }^6$ Model: A Model with Localized Inner Structures
• Generalized scalar field models in the presence of impurities