Gain in regularity for a coupled nonlinear Schrödinger system - doi: 10.5269/bspm.v24i1-2.7439

Authors

  • Octavio V. Villagrán Universidad del Bío-Bío
  • Juan C. Ceballos Universidad del Bío-Bío
  • Mauricio Sepúlveda Universidad del Bío-Bío

DOI:

https://doi.org/10.5269/bspm.v24i1-2.7439

Keywords:

Schrödinger equations, gain of regularity.

Abstract

We study the gain of regularity for the initial value problem for a
coupled nonlinear Schrödinger system that describes some physical phenomena such as the propagation in birefringent optical fibers, Kerr-like photo refractive media in optics and Bose-Einstein condensates. This study is motivated by the results obtained by N. Hayashi et al.

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