Stability of solitary waves in nonlinear Klein–Gordon equations

DOI10.1088/1751-8121/aca0d1OpenAlexW4308403699MaRDI QIDQ5878322

Renato Álvarez-Nodarse, Niurka Rodriguez Quintero, Pablo Rabán

Publication date: 20 February 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.06910

zbMATH Keywords

stabilitySturm-Liouville problemkink solutionnonlinear Klein-Gordon equations

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Soliton solutions (35C08) Second-order semilinear hyperbolic equations (35L71)

Related Items

The complete solution of the Schrödinger equation with the Rosen-Morse type potential via the Nikiforov-Uvarov method

Uses Software

• DLMF

Cites Work

• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Arbitrarily large numbers of kink internal modes in inhomogeneous sine-Gordon equations
• Kink dynamics in a parametric \({\phi}^6\) system: a model with controllably many internal modes
• Internal modes of solitons and near-integrable highly-dispersive nonlinear systems
• Complete eigenfunctions of linearized integrable equations expanded around a soliton solution
• Parent potentials for an infinite class of reflectionless kinks
• Topological Solitons
• Representations of the central and non-central t distributions
• Integrability revisited: a necessary condition
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