A numerical method for finding soliton solutions in nonlinear differential equations
type: Item
instance of: scholarly article
title: A numerical method for finding soliton solutions in nonlinear differential equations
zbMATH Open document ID: 1272.65080
DOI: 10.3103/S0278641913020076
author: N. P. Savenkova
author: V. S. Laponin
published in: Moscow University Computational Mathematics and Cybernetics
publication date: 2013-08-15T00:00:00Z
Mathematics Subject Classification ID: 65M99
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35Q55
zbMATH DE Number: 6198415
zbMATH Keywords: soliton solution
zbMATH Keywords: iterative method
zbMATH Keywords: nonlinearity
zbMATH Keywords: convergence
zbMATH Keywords: Korteweg-de Vries equation
zbMATH Keywords: numerical examples
zbMATH Keywords: sine-Gordon equations
zbMATH Keywords: nonlinear Schrödinger equations
zbMATH Keywords: femtosecond pulse propagation problems
MaRDI profile type: Publication
cites work: Stationary, oscillatory and solitary wave type solution of singular nonlinear schrödinger equations
cites work: Q3679549
cites work: Q3732103
cites work: Simulation of soliton solutions for the propagation of a femtosecond pulse in a medium with a cubic nonlinearity
cites work: Q4939475
full work available at URL: s0278641913020076
OpenAlex ID: W2060998766
description: scientific article; zbMATH DE number 6198415