Rogue wave solutions for the coupled cubic-quintic nonlinear Schrödinger equations with variable coefficients

DOI10.1016/J.AML.2015.11.001zbMath1335.78004OpenAlexW2119632976MaRDI QIDQ899488

Pan Wang, Feng-Hua Qi, Xiao-Ge Xu

Publication date: 28 December 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2015.11.001

zbMATH Keywords

Darboux transformationrogue wavecoupled cubic-quintic nonlinear Schrödinger equations with variable coefficients

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) NLS equations (nonlinear Schrödinger equations) (35Q55) Antennas, waveguides in optics and electromagnetic theory (78A50) Lasers, masers, optical bistability, nonlinear optics (78A60) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

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Cites Work

• Breather interactions and higher-order nonautonomous rogue waves for the inhomogeneous nonlinear Schrödinger Maxwell-Bloch equations
• Breathers and localized solitons for the Hirota-Maxwell-Bloch system on constant backgrounds in erbium doped fibers
• Darboux transformation and soliton solutions for the coupled cubic-quintic nonlinear Schrödinger equations in nonlinear optics
• Transitions between symmetric and asymmetric solitons in dual-core systems with cubic--quintic nonlinearity
• Rogue wave solutions for the coupled cubic-quintic nonlinear Schrödinger equations in nonlinear optics
• Multi-rogue waves and rational solutions of the coupled nonlinear Schrödinger equations
• Conservation laws and Darboux transformation for the coupled cubic-quintic nonlinear Schrödinger equations with variable coefficients in nonlinear optics
• Soliton behavior for a generalized mixed nonlinear Schrödinger model with N-fold Darboux transformation
• On the modulation of water waves in the neighbourhood of kh ≈ 1.363
• Solitary Wave Solutions of a Generalized Derivative Nonlinear Schrödinger Equation
• Optical Solitary Wave Solutions to Nonlinear Schrödinger Equation with Cubic–Quintic Nonlinearity in Non-Kerr Media

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