Generalization of exp-function and other standard function methods
type: Item
instance of: scholarly article
title: Generalization of exp-function and other standard function methods
zbMATH Open document ID: 1195.65094
author: Zenonas Navickas
author: Liepa Bikulciene
author: Minvydas Ragulskis
published in: Applied Mathematics and Computation
publication date: 2010-07-13T00:00:00Z
review text: The authors generalize exp-function and other standard function methods for solving nonlinear differential equations. A new computational algorithm for the automatic identification of the structure of the solution is proposed. Numerical examples are also discussed.
reviewed by: Răzvan Răducanu
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 5736358
zbMATH Keywords: exp-function method
zbMATH Keywords: multiplicative operator
zbMATH Keywords: H-rank
zbMATH Keywords: standard functions
zbMATH Keywords: nonlinear differential equations
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
full work available at URL: j.amc.2010.03.083
OpenAlex ID: W1982081948
cites work: Exp-function method for nonlinear wave equations
cites work: Exp-function method for solving the generalized-Zakharov equations
cites work: Solving the fifth order Caudrey-Dodd-Gibbon (CDG) equation using the exp-function method
cites work: Application of exp-function method to Dullin-Gottwald-Holm equation
cites work: Application of Exp-function method for 2D cubic-quintic Ginzburg-Landau equation
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: Exact travelling wave solutions for the generalized nonlinear Schrödinger (GNLS) equation with a source by extended tanh-coth, sine-cosine and exp-function methods
cites work: The Cole-Hopf transformation and improved tanh-coth method applied to new integrable system (KdV6)
cites work: Multi soliton solution for the system of coupled Korteweg-de Vries equations
cites work: Exact travelling solutions for the Lax's seventh-order KdV equation by sech method and rational exp-function method
cites work: Extended simplest equation method for nonlinear differential equations
cites work: How far one can go with the exp-function method?
cites work: Operator method of solving nonlinear differential equations
cites work: Q5295019
cites work: Q4314746
cites work: Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method
cites work: AN ELEMENTARY INTRODUCTION TO RECENTLY DEVELOPED ASYMPTOTIC METHODS AND NANOMECHANICS IN TEXTILE ENGINEERING
cites work: Exact solutions of \((2+1)\)-dimensional stochastic Broer-Kaup equation
DOI: 10.1016/J.AMC.2010.03.083
Recommended article: APPROXIMATE GENERALIZED EXPONENTIAL FUNCTIONS
Recommended article: Some remarks on Exp-function method and its applications
Recommended article: The generalization of special functions
Recommended article: On a Generalized Extended F -Expansion Method
Recommended article: Q3758233
Recommended article: Exp-function method and its application to nonlinear equations
Recommended article: Generalized Padé approximations to the exponential function
Recommended article: The Generalized Integro-Exponential Function
Recommended article: Q3785108
Recommended article: REPRESENTATION OF FUNCTIONS BY GENERALIZED EXPONENTIAL SERIES
description: scientific article; zbMATH DE number 5736358