2024 : 12 : 19
Alireza AbdiKian

Alireza AbdiKian

Academic rank: Associate Professor
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Education: PhD.
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Faculty: science
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Research

Title
Dynamical Behaviour of Ocean Waves Described by the Geophysical-Burgers’ Equation
Type
Book
Keywords
Phase Plane, Burgers’ Equation, travelling wave, The Korteweg–de Vries equation.
Year
2024
Researchers Bikram Mondal ، Yogesh Chettri ، Alireza AbdiKian ، Asit Saha

Abstract

Phase Plane analysis is applied to study nonlinear waves described by the Geophysical-Burgers’ equation. A travelling wave transformation is considered to convert the geophysical-Burgers’ equation to a dynamical system. All equilibrium points of the corresponding dynamical system are obtained and analysed based on the corresponding eigenvalues. Phase portrait for the dynamical system is plotted. Solutions of kink and anti-kink waves corresponding to heteroclinic orbits and periodic waves corresponding to periodic orbits are obtained. Effect of various parameters on these wave solutions is shown.