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4 Results Found

  • Article
  • Open Access
5 Citations
1,467 Views
16 Pages

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

  • Waseem Razzaq,
  • Asim Zafar,
  • Abdulaziz Khalid Alsharidi and
  • Mohammed Ahmed Alomair

12 August 2023

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 ar...

  • Article
  • Open Access
30 Citations
2,582 Views
17 Pages

26 August 2022

In this paper, the Hirota bilinear method, which is an important scheme, is used. The equation of the shallow water wave in oceanography and atmospheric science is extended to (3+1) dimensions, which is a well-known equation. A lot of classes of rati...

  • Article
  • Open Access
3 Citations
2,034 Views
13 Pages

15 June 2023

The Jimbo-Miwa equation (JME) that describes certain interesting (3+1)-dimensional waves in plasma physics is studied in this work. The Hirota bilinear equation is developed via the Cole-Hopf transform. Then, the symbolic computation, together with t...

  • Article
  • Open Access
18 Citations
3,353 Views
13 Pages

16 January 2023

This paper provides an investigation on nonlinear dynamic behaviors of the (3+1)-dimensional B-type Kadomtsev—Petviashvili equation, which is used to model the propagation of weakly dispersive waves in a fluid. With the help of the Cole—H...