The General Bilinear Techniques for Studying the Propagation of Mixed-Type Periodic and Lump-Type Solutions in a Homogenous-Dispersive Medium
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Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Amer inst Physics
Open Access Color
GOLD
Green Open Access
No
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Publicly Funded
No
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Top 10%
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Top 10%
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Top 10%
Abstract
This paper aims to construct new mixed-type periodic and lump-type solutions via dependent variable transformation and Hirota's bilinear form (general bilinear techniques). This study considers the (3 + 1)-dimensional generalized B-type Kadomtsev-Petviashvili equation, which describes the weakly dispersive waves in a homogeneous medium in fluid dynamics. The obtained solutions contain abundant physical structures. Consequently, the dynamical behaviors of these solutions are graphically discussed for different choices of the free parameters through 3D plots.
Description
Osman, M. S./0000-0002-5783-0940; Liu, Jian-Guo/0000-0002-6058-5472
Keywords
QC1-999, Periodic Wave Solutions, Mathematical analysis, Biochemistry, Gene, Filter (signal processing), Discrete Solitons in Nonlinear Photonic Systems, FOS: Mathematics, Homogeneous, Bilinear form, Variable (mathematics), Anomalous Diffusion Modeling and Analysis, Physics, Statistics, Paleontology, Statistical and Nonlinear Physics, Geology, Bilinear interpolation, FOS: Earth and related environmental sciences, Applied mathematics, Computer science, Digital filter, Chemistry, Physics and Astronomy, Combinatorics, Modeling and Simulation, Physical Sciences, Transformation (genetics), Computer vision, Bilinear transform, Type (biology), Mathematics, Rogue Waves in Nonlinear Systems
Fields of Science
01 natural sciences, 0103 physical sciences
Citation
Liu, Jian-Guo...et al. (2020). "The general bilinear techniques for studying the propagation of mixed-type periodic and lump-type solutions in a homogenous-dispersive medium", AIP Advances, Vol. 10, No. 10.
WoS Q
Q4
Scopus Q
Q3
OpenCitations Citation Count
28
Source
AIP Advances
Volume
10
Issue
10
Start Page
End Page
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Citations
CrossRef : 28
Scopus : 27
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Mendeley Readers : 2
SCOPUS™ Citations
28
checked on Feb 27, 2026
Web of Science™ Citations
29
checked on Feb 27, 2026
Page Views
2
checked on Feb 27, 2026
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