New exact solutions to the high dispersive cubic-quintic nonlinear Schrödinger equation

DOI10.1016/j.physleta.2018.06.023zbMath1404.81101OpenAlexW2807781785MaRDI QIDQ1632576

Yingying Xie, Zhaoyu Yang, Lingfei Li

Publication date: 14 December 2018

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2018.06.023

zbMATH Keywords

generalized nonlinear Schrödinger equationsolitonoptical fiberscomplete discrimination systemnon-Kerr terms

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08)

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Cites Work

• Unnamed Item
• Optical solitons with Biswas-Milovic equation for power law and dual-power law nonlinearities
• Optical solitons with complex Ginzburg-Landau equation
• Analytical study of solitons in non-Kerr nonlinear negative-index materials
• Darboux transformation and soliton solutions for the coupled cubic-quintic nonlinear Schrödinger equations in nonlinear optics
• Exact solutions of the nonlinear Schrödinger equation by the first integral method
• New types of exact solutions for nonlinear Schrödinger equation with cubic nonlinearity
• Optical solitons with power law nonlinearity using Lie group analysis
• Exact solutions for the nonlinear Schrödinger equation with variable coefficients using the generalized extended tanh-function, the sine-cosine and the exp-function methods
• A complete discrimination system for polynomials
• Solitary wave solutions for high dispersive cubic-quintic nonlinear Schrödinger equation
• Direct search for exact solutions to the nonlinear Schrödinger equation
• Interactions and stability of solitary waves in shallow water.
• On a reduction of the generalized Darboux-Halphen system
• New exact solutions for a generalized KdV equation
• A complex tanh-function method applied to nonlinear equations of Schrödinger type
• Bäcklund transformation of matrix equations and a discrete matrix first Painlevé equation
• Lotka-Volterra systems satisfying a strong Painlevé property
• Inverse scattering with non-overdetermined data
• Amplitude-induced critical behavior of quantized vortices in the nonlinear Schrödinger equation
• Soliton-like solutions of higher order wave equations of the Korteweg–de Vries type
• Model for Interaction Between Photon and Cold Atom in QED Cavity
• Existence of Dark Soliton Solutions of the Cubic Nonlinear Schrödinger Equation with Periodic Inhomogeneous Nonlinearity
• An explicit symmetry constraint for the Lax pairs and the adjoint Lax pairs of AKNS systems

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