The Korteweg-de Vries–Caudrey–Dodd–Gibbon dynamical model: Its conservation laws, solitons, and complexiton
Date
2022
Authors
Hosseini, K.
Akbulut, A.
Baleanu, D.
Salahshour, S.
Mirzazadeh, M.
Dehingia, K.
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Abstract
The main purpose of the present paper is to conduct a detailed and thorough study on the Korteweg-de Vries–Caudrey–Dodd–Gibbon (KdV-CDG) dynamical model. More precisely, after considering the integrable KdV-CDG dynamical model describing certain properties of ocean dynamics, its conservation laws, solitons, and complexiton are respectively derived using the Ibragimov, Kudryashov, and Hirota methods. Several numerical simulations in two and three-dimensional postures are formally given to analyze the effect of nonlinear parameters. It is shown that nonlinear parameters play a key role in the dynamical properties of soliton and complexiton solutions.
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Keywords
Complexiton, Conservation Laws, Kdv-CDG Dynamical Model, Numerical Simulations, Solitons
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Citation
Hosseini, K....et.al. (2022). "The Korteweg-de Vries–Caudrey–Dodd–Gibbon dynamical model: Its conservation laws, solitons, and complexiton", Journal of Ocean Engineering and Science, Vol.9, No.16, pp.1-9.
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Source
Journal of Ocean Engineering and Science
Volume
9
Issue
16
Start Page
1
End Page
9