Swaying oscillons in the signum-Gordon model

Abstract

We present a new class of oscillons in the (1+1)-dimensional signum-Gordon model. The oscillons periodically move to and fro in the space. They have finite total energy, finite size, and are strictly periodic in time. The corresponding solutions of the scalar field equation are explicitly constructed from the second order polynomials in the time and position coordinates.

12 pages, 3 figures

References in corpus (7)

• Oscillons and Quasi-breathers in the ϕ^4 Klein-Gordon model
• Analytical Characterization of Oscillon Energy and Lifetime
• Numerical Investigations of Oscillons in 2 Dimensions
• A Phase Transition in U(1) Configuration Space: Oscillons as Remnants of Vortex-Antivortex Annihilation
• Compact Q-balls in the complex signum-Gordon model
• Compact oscillons in the signum-Gordon model
• Wobbling kinks in ${\varphi }^4$ theory

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• On peakons and Q-balls in the baby Skyrme model
• Strictly finite range forces from the signum-Gordon field: exact results in two spatial dimensions