The general bilinear techniques for studying the propagation of mixed-type periodic and lump-type solutions in a homogenous-dispersive medium
Jian-Guo Liu, M.S. Osman, Wen‐Hui Zhu, Li Zhou, Dumitru Bǎleanu
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.
Topics & Concepts
Bilinear interpolationType (biology)Bilinear transformTransformation (genetics)Bilinear formHomogeneousMathematicsMathematical analysisVariable (mathematics)Applied mathematicsChemistryComputer scienceCombinatoricsGeologyStatisticsBiochemistryDigital filterGeneFilter (signal processing)PaleontologyComputer visionNonlinear Waves and SolitonsFractional Differential Equations SolutionsNonlinear Photonic Systems