Exact solutions and optical soliton solutions for the nonlinear Schrödinger equation with fourth-order dispersion and cubic-quintic nonlinearity
type: Item
instance of: scholarly article
title: Exact solutions and optical soliton solutions for the nonlinear Schrödinger equation with fourth-order dispersion and cubic-quintic nonlinearity
zbMATH Open document ID: 1386.78017
author: Peng Zhang
published in: Ricerche di Matematica
publication date: 2017-12-01T00:00:00Z
Mathematics Subject Classification ID: 78A60
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 35Q55
zbMATH DE Number: 6815074
zbMATH Keywords: soliton ansatz method combined with the Jacobi elliptic equation method
zbMATH Keywords: F-expansion method
zbMATH Keywords: exact solutions
zbMATH Keywords: Jacobi elliptic function solutions
zbMATH Keywords: optical soliton solutions
zbMATH Keywords: nonlinear Schrödinger equation with fourth-order dispersion and cubic-quintic nonlinearity
MaRDI profile type: Publication
full work available at URL: s11587-017-0319-y
OpenAlex ID: W2589504206
cites work: Solitary wave solutions of the generalized shallow water wave (GSWW) equation by Hirota's method, tanh-coth method and exp-function method
cites work: Exp-function method for nonlinear wave equations
cites work: A sine-cosine method for handling nonlinear wave equations
cites work: Periodic and solitary wave solutions of Kawahara and modified Kawahara equations by using Sine-Cosine method
cites work: Solitons and Other Solutions for the Generalized KdV–mKdV Equation with Higher-order Nonlinear Terms
cites work: A note on the homogeneous balance method
cites work: The tanh method: II. Perturbation technique for conservative systems
cites work: The tanh method: exact solutions of the sine-Gordon and the sinh-Gordon equations
cites work: The extended tanh method and its applications for solving nonlinear physical models
cites work: The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
cites work: A note on the \(G'/G\)-expansion method
cites work: New traveling wave solutions for higher dimensional nonlinear evolution equations using a generalized \big(\frac{G^{\prime}}{G}\big) -expansion method
cites work: Modified simple equation method for nonlinear evolution equations
cites work: A note on the modified simple equation method applied to Sharma-Tasso-Olver equation
cites work: A multiple exp-function method for nonlinear differential equations and its application
cites work: One method for finding exact solutions of nonlinear differential equations
cites work: Exact solutions for Calogero-Bogoyavlenskii-Schiff equation using symmetry method
cites work: 1-soliton solution of Benjamin-Bona-Mahoney equation with dual-power law nonlinearity
cites work: Q4585380
DOI: 10.1007/S11587-017-0319-Y
description: scientific article; zbMATH DE number 6815074