The general bilinear techniques for studying the propagation of mixed-type periodic and lump-type solutions in a homogenous-dispersive medium
Source abstract
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.
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Research context
OpenAlex topics: Nonlinear Waves and Solitons · Fractional Differential Equations Solutions · Nonlinear Photonic Systems
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
College of Computer, Jiangxi University of Traditional Chinese Medicine 1 , Jiangxi 330004, China
Department of Mathematics, Faculty of Science, Cairo University 2 , Giza 12613, Egypt
Department of Mathematics, Faculty of Applied Science, Umm Alqura University 3 , Makkah 21955, Saudi Arabia
Institute of Artificial Intelligence, Nanchang Institute of Science and Technology 4 , Jiangxi 330108, China
Department of Mathematics, Çankaya University, Ögretmenler Cad. 5 , Ankara 1406530, Turkey
Institute of Space Sciences 6 , Magurele, Bucharest 77125, Romania
Department of Medical Research, China Medical University Hospital, China Medical University 7 , Taichung 8864, Taiwan
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