Dynamic behaviors for a perturbed nonlinear Schrödinger equation with the power-law nonlinearity in a non-Kerr medium
type: Item
instance of: scholarly article
title: Dynamic behaviors for a perturbed nonlinear Schrödinger equation with the power-law nonlinearity in a non-Kerr medium
zbMATH Open document ID: 1485.35343
author: Jun Chai
author: Bo Tian
author: Hui-Ling Zhen
author: Wen-Rong Sun
author: De-Yin Liu
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2020-10-07T00:00:00Z
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 35B10
zbMATH DE Number: 7257361
zbMATH Keywords: perturbed nonlinear Schrödinger equation with the power-law nonlinearity
zbMATH Keywords: planar dynamic system
zbMATH Keywords: phase portraits
zbMATH Keywords: analytic solutions
MaRDI profile type: Publication
full work available at URL: j.cnsns.2016.10.004
OpenAlex ID: W2531484388
cites work: The nonlinear Schrödinger equation and the propagation of weakly nonlinear waves in optical fibers and on the water surface
cites work: Coupled KdV equations derived from two-layer fluids
cites work: New exact travelling wave solutions using modified extended tanh-function method
cites work: A new method for finding exact traveling wave solutions to nonlinear partial differential equations
cites work: Exact envelope-soliton solutions of a nonlinear wave equation
cites work: Hierarchies of Coupled Soliton Equations. I
cites work: Q4828547
cites work: Soliton solutions of the generalized Klein-Gordon equation by using \(\left(\frac{G'}{G}\right)\)-expansion method
cites work: Thirring combo-solitons with cubic nonlinearity and spatio-temporal dispersion
cites work: New exact solutions to the perturbed nonlinear Schrödinger's equation with Kerr law nonlinearity
cites work: New exact solutions and Bäcklund transformation for Boiti-Leon-Manna-Pempinelli equation
cites work: Q4002235
cites work: Peakons of the Camassa-Holm equation
cites work: Q2716089
cites work: New exact solutions for the classical Drinfel'd-Sokolov-Wilson equation
cites work: Singular solitons and bifurcation analysis of quadratic nonlinear Klein-Gordon equation
cites work: Qualitative analysis to traveling wave solutions of Zakharov-Kuznetsov-Burgers equation and its damped oscillatory solutions
cites work: Q3948194
cites work: New structure to construct new solitary wave solutions for perturbed NLSE with power law nonlinearity
cites work: Bifurcation Theory and Methods of Dynamical Systems
cites work: Q3998351
DOI: 10.1016/J.CNSNS.2016.10.004
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description: scientific article; zbMATH DE number 7257361