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

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 mo...

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Bibliographic Details
Published in:Optical and quantum electronics 2024-03, Vol.56 (3), Article 320
Main Authors: Ali, Mohammed H., Ahmed, Hamdy M., El-Owaidy, Hassan M., El-Deeb, Ahmed A., Samir, Islam
Format: Article
Language:English
Subjects:
Characterization and Evaluation of Materials
Computer Communication Networks
Electrical Engineering
Fluid flow
Lasers
Mapping
Optical Devices
Optics
Photonics
Physical properties
Physics
Physics and Astronomy
Solitary waves
Water waves
Wave propagation
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Summary: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.
ISSN:0306-8919
1572-817X
DOI:10.1007/s11082-023-05915-1