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Optical and Quantum Electronics

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01-03-2024

New analytic wave solutions to (2 + 1)-dimensional Kadomtsev–Petviashvili–Benjamin–Bona–Mahony equation using the modified extended mapping method

Authors: Mohammed H. Ali, Hamdy M. Ahmed, Hassan M. El-Owaidy, Ahmed A. El-Deeb, Islam Samir

Published in: Optical and Quantum Electronics | Issue 3/2024

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Abstract

In this study, the (2 + 1)-dimensional Kadomtsev–Petviashvili–Benjamin–Bona–Mahony equation (KP-BBME) is examined. KP-BBM is used as a water wave model to mimic the wave propagation for fluid flows and to describe bidirectional propagating water wave surface. Studying is conducted by applying the modified extended mapping method to construct various and novel solutions for the proposed model. These solutions including {dark, bright, and singular} solitons, Weierstrass elliptic, exponential and singular periodic solutions. The extracted solutions confirmed the efficacy and strength of the current technique. To illustrate the physical characteristics of the established solutions, 3D, 2D and contour plots are depicted for many selected solutions.

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Title: New analytic wave solutions to (2 + 1)-dimensional Kadomtsev–Petviashvili–Benjamin–Bona–Mahony equation using the modified extended mapping method
Authors: Mohammed H. Ali
Hamdy M. Ahmed
Hassan M. El-Owaidy
Ahmed A. El-Deeb
Islam Samir
Publication date: 01-03-2024
Publisher: Springer US
Published in: Optical and Quantum Electronics / Issue 3/2024
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-023-05915-1

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