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

Seenith Sivasundaram; Ajay Kumar; Ratnesh Kumar Singh

doi:10.2478/ijmce-2024-0006

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

International Journal of Mathematics and Computer in Engineering

Volume 2 (2024): Issue 1 (June 2024)

By: Seenith Sivasundaram, Ajay Kumar and Ratnesh Kumar Singh

Open Access

|Oct 2023

Abstract

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.

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Articles in this issue

DOI: https://doi.org/10.2478/ijmce-2024-0006 | Journal eISSN: 2956-7068

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Language: English

Page range: 71 - 84

Submitted on: Jul 2, 2023

Accepted on: Oct 15, 2023

Published on: Oct 31, 2023

Published by: Harran University

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

The first equation of the KP hierarchy,

SGEM,

RSGEM,

complex solutions,

logarithmic solutions

Related subjects:

Computer sciences,

Computer sciences, other,

Engineering,

Introductions and overviews,

Physics,

© 2023 Seenith Sivasundaram, Ajay Kumar, Ratnesh Kumar Singh, published by Harran University
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 2 (2024): Issue 1 (June 2024)