Dark solitons in \(N\)-coupled higher order nonlinear Schrödinger equations

DOI10.1016/j.cnsns.2006.07.014zbMath1221.35401OpenAlexW1995631433MaRDI QIDQ718714

K. Porsezian, P. Seenuvasakumaran, A. Mahalingam

Publication date: 24 September 2011

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

Full work available at URL: https://doi.org/10.1016/j.cnsns.2006.07.014

zbMATH Keywords

Lax pairPainlevé analysisthird order dispersioncomplete integrable systemstimulated Raman scattering

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60) Lattice dynamics; integrable lattice equations (37K60)

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Cites Work

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• Integrable coupling of optical waves in higher-order nonlinear Schrödinger equations
• The Painlevé property for partial differential equations
• Bright and dark optical solitons in coupled higher-order nonlinear Schrodinger equations through singularity structure analysis
• Symmetrically coupled higher-order nonlinear Schrödinger equations: singularity analysis and integrability

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