<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

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

Patna Women’s College (Autonomous) Patna University

International Journal of Mathematics and Computer in Engineering

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...

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

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
The first equation of the KP hierarchy, SGEM, RSGEM, complex solutions, logarithmic solutions

© 2024 Seenith Sivasundaram et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

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

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

KeywordsThe first equation of the KP hierarchy, SGEM, RSGEM, complex solutions, logarithmic solutions

© 2024 Seenith Sivasundaram et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 1

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Keywords
The first equation of the KP hierarchy, SGEM, RSGEM, complex solutions, logarithmic solutions