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article · Mathematical and Computational Applications

New Results on Gevrey Well Posedness for the Schrödinger–Korteweg–De Vries System

20251 citationOpen accessUniversity of Batna 1

Abstract

In this work, we prove that the initial value problem for the Schrödinger–Korteweg–de Vries (SKdV) system is locally well posed in Gevrey spaces for s>−34 and k≥0. This advancement extends recent findings regarding the well posedness of this model within Sobolev spaces and investigates the regularity properties of its solutions.

Research topics

  • Advanced Mathematical Physics Problems
  • Quantum chaos and dynamical systems
  • Numerical methods for differential equations

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DOI: 10.3390/mca30030052

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