Construction of breather solutions and N-soliton for the higher order dimensional Caudrey–Dodd–Gibbon–Sawada–Kotera equation arising from wave patterns-Reference-Cited by-同舟云学术

Construction of breather solutions and N-soliton for the higher order dimensional Caudrey–Dodd–Gibbon–Sawada–Kotera equation arising from wave patterns

Published:2021-03-11 Issue:0 Volume:0 Page:
ISSN:2191-0294
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:en
Short-container-title:

Author:

Ismael Hajar F.¹²,Seadawy Aly³,Bulut Hasan²

Affiliation:

1. Department of Mathematics, Faculty of Science, University of Zakho , Zakho , Iraq

2. Department of Mathematics, Faculty of Science, Firat University , Elazig , Turkey

3. Faculty of Science , Taibah University , Al-Madinah Al-Munawarah , Saudi Arabia

Abstract

Abstract In this research, we explore the dynamics of Caudrey–Dodd–Gibbon–Sawada–Kotera equations in (1 + 1)-dimension, such as N-soliton, and breather solutions. First, a logarithmic variable transform based on the Hirota bilinear method is defined, and then one, two, three and N-soliton solutions are constructed. A breather solution to the equation is also retrieved via N-soliton solutions. All the solutions that have been obtained are novel and plugged into the equation to guarantee their existence. 2-D, 3-D, contour plot and density plot are also presented.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2020-0169/pdf

Reference49 articles.

1. K. Hosseini, P. Mayeli, and R. Ansari, “Modified Kudryashov method for solving the conformable time-fractional Klein-Gordon equations with quadratic and cubic nonlinearities,” Optik – Int. J. Light Electron Optic., vol. 130, pp. 737–742, 2017. https://doi.org/10.1016/j.ijleo.2016.10.136.

2. K. Hosseini, P. Mayeli, and R. Ansari, “Bright and singular soliton solutions of the conformable time-fractional Klein-Gordon equations with different nonlinearities,” Waves Random Complex Media, vol. 28, pp. 426–434, 2018. https://doi.org/10.1080/17455030.2017.1362133.

3. M. Eslami and M. Mirzazadeh, “Optical solitons with Biswas–Milovic equation for power law and dual-power law nonlinearities,” Nonlinear Dynam., vol. 83, nos 1–2, pp. 731–738, 2016. https://doi.org/10.1007/s11071-015-2361-1.

4. M. Mirzazadeh, M. Eslami, and A. Biswas, “Soliton solutions of the generalized Klein–Gordon equation by using (G′/G)-expansion method,” Comput. Appl. Math., vol. 33, no. 3, pp. 831–839, 2014. https://doi.org/10.1007/s40314-013-0098-3.

5. H. F. Ismael, H. Bulut, and H. M. Baskonus, “Optical soliton solutions to the Fokas–Lenells equation via sine-Gordon expansion method and (m + (G′/G))-expansion method,” Pramana - J. Phys., vol. 94, no. 1, 2020. https://doi.org/10.1007/s12043-019-1897-x.

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