Exact solutions for the higher-order nonlinear Schrödinger equation in nonlinear optical fibres

DOI10.1016/j.chaos.2004.06.006zbMath1069.35085OpenAlexW2008728490MaRDI QIDQ1771685

Chunping Liu

Publication date: 18 April 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.06.006

zbMATH Keywords

projective Riccati equation method

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Solutions to PDEs in closed form (35C05)

Related Items (10)

A Riccati-Bernoulli sub-ODE method for some nonlinear evolution equations ⋮ The first integral method to the nonlinear Schrödinger equations in higher dimensions ⋮ The extended mapping method and its applications for nonlinear evolution equations ⋮ The subsidiary elliptic-like equation and the exact solutions of the higher-order nonlinear Schrödinger equation ⋮ The extended homogeneous balance method and its applications for a class of nonlinear evolution equations ⋮ The extended \(F\)-expansion method and its application for a class of nonlinear evolution equations ⋮ New exact travelling wave solutions using modified extended tanh-function method ⋮ Fundamental solutions for the generalised third-order nonlinear Schrödinger equation ⋮ The \((G'/G)\)-expansion method and travelling wave solutions for a higher-order nonlinear Schrödinger equation ⋮ Travelling wave solutions for nonlinear Schrödinger equation with a higher-order dispersive term

Cites Work

• Unnamed Item
• Generalized method and its application in the higher-order nonlinear Schrödinger equation in nonlinear optical fibres.
• Exact analytical solutions for nonlinear reaction-diffusion equations
• Exact solutions of the classical Drinfel'd-Sokolov-Wilson equations and the relations among the solutions
• Link between solitary waves and projective Riccati equations

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