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BLOW-UP FOR A FULL VARIATIONAL SINE-GORDON SYSTEM

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Abstract

We consider the singularity formation of the full variational sine-Gordon system which describes the movement of long waves on a neutral dipole chain in the continuum limit on a unit sphere. The blow-up in a finite time of a smooth solution is observed by the method of characteristics.

Original languageEnglish
Pages (from-to)1687-1694
Number of pages8
JournalBulletin of the Korean Mathematical Society
Volume62
Issue number6
DOIs
Publication statusPublished - Nov 2025

Bibliographical note

Publisher Copyright:
© 2025 Korean Mathematical Society.

Keywords

  • blow up
  • characteristics
  • Variational sine-Gordon system

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