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Article

New Three Wave and Periodic Solutions for the Nonlinear (2+1)-Dimensional Burgers Equations

by
Waseem Razzaq
1,2,*,
Asim Zafar
1,
Abdulaziz Khalid Alsharidi
3 and
Mohammed Ahmed Alomair
4
1
Department of Mathematics, COMSATS University Islamabad, Vehari Campus, Vehari 61100, Pakistan
2
Math Center, Rahmanyia Colony, Vehari 61120, Pakistan
3
Department of Mathematics and Statistics, College of Science, King Faisal University, Al-Hasa 31982, Saudi Arabia
4
Department of Quantitative Methods, School of Business, King Faisal University, Al-Hasa 31982, Saudi Arabia
*
Author to whom correspondence should be addressed.
Symmetry 2023, 15(8), 1573; https://doi.org/10.3390/sym15081573
Submission received: 15 June 2023 / Revised: 2 August 2023 / Accepted: 4 August 2023 / Published: 12 August 2023

Abstract

This research paper is about the new three wave, periodic wave and other analytical wave solutions of (2+1)-Dimensional Burgers equations by utilizing Hirota bilinear and extended sinh-Gordon equation expansion (EShGEE) schemes. Achieved solutions are verified and demonstrated by different plots with the use of Mathematica 11.01 software. Some of the achieved solutions are also described graphically by two-dimensional, three-dimensional and contour plots. The gained solutions are helpful for the future study of concerned models. Finally, these two schemes are simple, fruitful and reliable to handle the nonlinear PDEs.
Keywords: (2+1)-dimensional Burgers equations; Hirota bilinear scheme; extended sinh-Gordon equation expansion scheme; new three wave; new periodic wave; analytical wave solutions (2+1)-dimensional Burgers equations; Hirota bilinear scheme; extended sinh-Gordon equation expansion scheme; new three wave; new periodic wave; analytical wave solutions

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MDPI and ACS Style

Razzaq, W.; Zafar, A.; Alsharidi, A.K.; Alomair, M.A. New Three Wave and Periodic Solutions for the Nonlinear (2+1)-Dimensional Burgers Equations. Symmetry 2023, 15, 1573. https://doi.org/10.3390/sym15081573

AMA Style

Razzaq W, Zafar A, Alsharidi AK, Alomair MA. New Three Wave and Periodic Solutions for the Nonlinear (2+1)-Dimensional Burgers Equations. Symmetry. 2023; 15(8):1573. https://doi.org/10.3390/sym15081573

Chicago/Turabian Style

Razzaq, Waseem, Asim Zafar, Abdulaziz Khalid Alsharidi, and Mohammed Ahmed Alomair. 2023. "New Three Wave and Periodic Solutions for the Nonlinear (2+1)-Dimensional Burgers Equations" Symmetry 15, no. 8: 1573. https://doi.org/10.3390/sym15081573

APA Style

Razzaq, W., Zafar, A., Alsharidi, A. K., & Alomair, M. A. (2023). New Three Wave and Periodic Solutions for the Nonlinear (2+1)-Dimensional Burgers Equations. Symmetry, 15(8), 1573. https://doi.org/10.3390/sym15081573

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