Different physical structures of solutions for a generalized resonant dispersive nonlinear Schrödinger equation with power law nonlinearity
type: Item
instance of: scholarly article
title: Different physical structures of solutions for a generalized resonant dispersive nonlinear Schrödinger equation with power law nonlinearity
zbMATH Open document ID: 1442.35412
DOI: 10.1155/2019/6143102
author: K. S. Al-Ghafri
published in: Journal of Applied Mathematics
publication date: 2019-05-07T00:00:00Z
review text: Summary: In this work, we investigate various types of solutions for the generalised resonant dispersive nonlinear Schrödinger equation (GRD-NLSE) with power law nonlinearity. Based on simple mathematical techniques, the complicated form of the GRD-NLSE is reduced to an ordinary differential equation (ODE) which has a variety of solutions. The analytic solution of the resulting ODE gives rise to bright soliton, singular soliton, peaked soliton, compacton solutions, solitary pattern solutions, rational solution, Weierstrass elliptic periodic type solutions, and some other types of solutions. Constraint conditions for the existence of solitons and other solutions are given.
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 78A60
zbMATH DE Number: 7051374
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2019/6143102
OpenAlex ID: W2911782429
cites work: Optical Solitary Wave Solutions to Nonlinear Schrödinger Equation with Cubic–Quintic Nonlinearity in Non-Kerr Media
cites work: Introduction to non-Kerr Law Optical Solitons
cites work: Optical solitons with log-law nonlinearity
cites work: Bright and dark optical solitons with time-dependent coefficients in a non-Kerr law media
cites work: Dark solitons for a generalized nonlinear Schrödinger equation with parabolic law and dual-power law nonlinearities
cites work: Solitons in alpha-helix proteins by He's variational principle
cites work: Soliton solutions to resonant nonlinear Schrödinger's equation with time-dependent coefficients by trial solution approach
cites work: On optical solitons of the resonant Schrödinger’s equation in optical fibers with dual-power law nonlinearity and time-dependent coefficients
cites work: Soliton solutions of the generalized Klein-Gordon equation by using \(\left(\frac{G'}{G}\right)\)-expansion method
cites work: Exact traveling wave solutions to the fractional coupled nonlinear Schrödinger equations
cites work: Exp-function method for nonlinear wave equations
cites work: The traveling wave solutions of the perturbed nonlinear Schrödinger equation and the cubic-quintic Ginzburg Landau equation using the modified (\(G^{\prime}/G\))-expansion method
description: scientific article; zbMATH DE number 7051374