Analytic study of a coupled Kerr-SBS system

DOI10.1016/J.CNSNS.2016.05.008zbMath1473.35499arXiv1605.04327OpenAlexW2407382701MaRDI QIDQ2004796

Robert Conte, Maria Luz Gandarias

Publication date: 7 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.04327

zbMATH Keywords

exact solutionsreductionsPainlevé testLie symmetriesstimulated Brillouin scattering

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Cites Work

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• Complete group classification of systems of two linear second-order ordinary differential equations
• Integrability of a system of two nonlinear Schrödinger equations
• Nonlinear Schrödinger equations and simple Lie algebras
• The Painlevé property for partial differential equations
• Analytic expressions of hydrothermal waves

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