The Painlevé test for a system of coupled equations from nonlinear birefringence

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Abstract

The Painlevé analysis has been performed for integrability of an example of two coupled equations taken from the field of nonlinear fiber optics. This is a generic system of highly nonlinear differential equations which describes the phenomena in nonlinear birefringence. In particular, the Painlevé test uncovers the generic non-integrable nature of the partial differential system such as the computed Fuchs indices. Last but not the least, the analysis performed so far will lay a solid foundation for further investigation of the closed form solutions. Copyright © 2018 Tat Leung Yee.
Original languageEnglish
Pages (from-to)27-36
JournalApplied Mathematical Sciences
Volume12
Issue number1
DOIs
Publication statusPublished - 2018

Citation

Yee, T. L. (2018). The Painlevé test for a system of coupled equations from nonlinear birefringence. Applied Mathematical Sciences, 12(1), 27-36. doi: 10.12988/ams.2018.712357

Keywords

  • Painlevé analysis
  • Differential equations
  • Birefringence

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