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Mostafa Eslami

Mostafa Eslami

Academic rank: Associate Professor
ORCID:
Education: PhD.
ScopusId:
HIndex:
Faculty: Faculty of Mathematical Sciences
Address: University of Mazandaran
Phone: 01135302425

Research

Title
1-Soliton solution of KdV6 equation
Type
JournalPaper
Keywords
Solitary waves Shock waves Integrability
Year
2015
Journal NONLINEAR DYNAMICS
DOI
Researchers mohammad Mirzazadeh ، Anjan Biswas ، Mostafa Eslami

Abstract

This paper applies three forms of integration tools to integrate KdV6 equation that represents a nonholonomic deformation of the well-known KdV equation, which models shallow-water dynamics. The three integration algorithms applied are Kudryashov’s method, extended tanh scheme as well as G′/G-expansion mechanism. These tools lead to solitary waves, shock waves as well as singular periodic solutions to the equation. The corresponding integrability criteria, also known as constraint conditions, naturally emerge from the analysis of the problem.