Traveling wave solutions of space-time fractional generalized fifth-order KdV equation
type: Item
instance of: scholarly article
title: Traveling wave solutions of space-time fractional generalized fifth-order KdV equation
zbMATH Open document ID: 1400.35061
DOI: 10.1155/2017/6743276
author: Dianchen Lu
author: Chen Yue
author: Muhammad Arshad
published in: Advances in Mathematical Physics
publication date: 2018-10-23T00:00:00Z
review text: Summary: The Korteweg-de Vries (KdV) equation, especially the fractional higher order one, provides a relatively accurate description of motions of long waves in shallow water under gravity and wave propagation in one-dimensional nonlinear lattice. In this article, the generalized \(\exp(- \Phi(\xi))\)-expansion method is proposed to construct exact solutions of space-time fractional generalized fifth-order KdV equation with Jumarie's modified Riemann-Liouville derivatives. At the end, three types of exact traveling wave solutions are obtained which indicate that the method is very practical and suitable for solving nonlinear fractional partial differential equations.
Mathematics Subject Classification ID: 35C07
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 6962652
zbMATH Keywords: long waves in shallow water
zbMATH Keywords: modified Riemann-Liouville derivatives
Wikidata QID: Q59142456
describes a project that uses: sysdfod
describes a project that uses: DFOC
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/6743276
OpenAlex ID: W2599715417
cites work: Q5699297
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description: scientific article; zbMATH DE number 6962652