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Topological Compactons

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arxiv nlin/0201001 v1 pith:SZ2T23R3 submitted 2002-01-02 nlin.PS cond-mat.softhep-th

Topological Compactons

classification nlin.PS cond-mat.softhep-th
keywords topologicalakincompactonsdemonstratedimensionalexponentialfinitekink
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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One dimensional topological kink which has strictly finite size without any exponential or power-like tail is presented. It can be observed in a simple mechanical system akin to the one used in order to demonstrate sinus-Gordon solitons.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Scattering of kinks in Frankensteinian potentials: Kinks as bubbles of exotic mass and phase transitions in oscillon production

    hep-th 2026-03 unverdicted novelty 6.0

    In two Frankensteinian potentials, kink scattering shows a phase-transition-like change from massive wave disintegration to oscillon production when field thresholds are low enough.

  2. Signum-Gordon spectral mass from nonlinear Fourier mode mixing

    hep-th 2026-02 unverdicted novelty 6.0

    A specific initial amplitude in the signum-Gordon model generates a spectral mass of unity whose dispersion matches the massive Klein-Gordon equation.

  3. Compact structures in impurity-doped vacuumless systems

    hep-th 2026-05 unverdicted novelty 5.0

    Impurities preserving half the BPS sectors induce compact or half-compact stable vacuumless kinks in scalar models, which cannot form in impurity-free canonical cases.