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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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.
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10
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