Open Access

On the complex properties of the first equation of the Kadomtsev-Petviashvili hierarchy

Seenith Sivasundaram

Seenith Sivasundaram

Bethune-Cookman UniversityDaytona Beach, USA
Search for this author on
Sciendo|Google Scholar
Sivasundaram, Seenith
, 
Ajay Kumar

Ajay Kumar

Department of Mathematics, Patna Women’s College (Autonomous) Patna UniversityPatna, India
Search for this author on
Sciendo|Google Scholar
Kumar, Ajay
 and 
Ratnesh Kumar Singh

Ratnesh Kumar Singh

Department of Science and Technology, Government Engineering CollegeBuxar, India
Search for this author on
Sciendo|Google Scholar
Singh, Ratnesh Kumar
  
Oct 31, 2023
On the complex properties of the first equation of the Kadomtsev-Petviashvili hierarchy's Cover Image
About this article
Previous Article
Next Article
Cite
Download Cover
Article Category: Original Study
Published Online: Oct 31, 2023
Page range: 71 - 84
Received: Jul 02, 2023
Accepted: Oct 15, 2023
DOI: https://doi.org/10.2478/ijmce-2024-0006
Keywords
© 2024 Seenith Sivasundaram et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

This work studies the first equation of the Kadomtsev-Petviashvili (KP) hierarchy. The sine-Gordon expansion method (SGEM) and the rational SGEM (RSGEM) are applied to the governing model. RSGEM is the developed version of SGEM. New complex travelling wave solutions, logarithmic and complex function properties are obtained. Several simulations such as 2D, 3D and contour surfaces of the obtained results are plotted. Physical meanings of these solutions are also reported. Strain conditions are also extracted.

Language:
English
Publication timeframe:
2 times per year
Journal Subjects:
Computer Sciences, Computer Sciences, other, Engineering, Introductions and Overviews, Engineering, other, Mathematics, General Mathematics, Physics, Physics, other
Journal RSS Feed