Stability analysis for travelling wave solutions of the Olver and fifth-order KdV equations
type: Item
instance of: scholarly article
title: Stability analysis for travelling wave solutions of the Olver and fifth-order KdV equations
zbMATH Open document ID: 1406.35336
DOI: 10.1155/2014/839485
author: Erdal Karapınar
published in: Journal of Applied Mathematics
publication date: 2019-02-01T00:00:00Z
review text: Summary: The Olver equation is governing a unidirectional model for describing long and small amplitude waves in shallow water waves. The solitary wave solutions of the Olver and fifth-order KdV equations can be obtained by using extended tanh and sech-tanh methods. The present results are describing the generation and evolution of such waves, their interactions, and their stability. Moreover, the methods can be applied to a wide class of nonlinear evolution equations. All solutions are exact and stable and have applications in physics.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35C07
Mathematics Subject Classification ID: 35B35
zbMATH DE Number: 7010770
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/839485
OpenAlex ID: W2151339892
Wikidata QID: Q59052699
description: scientific article; zbMATH DE number 7010770