Periodic wave solutions and stability analysis for the (3+1)-D potential-YTSF equation arising in fluid mechanics
Jalil Manafian, Onur Alp İlhan, Hajar F. Ismael, Sizar Abid Mohammed, Saadat Baybala Mazanova
Abstract
This paper aims at investigating the periodic wave solutions for the (3+1)-dimensional potential-Yu–Toda–Sasa–Fukuyama equation, from its bilinear form, obtained using the Hirota operator. Two major cases were studied from two different ansatzes. The 3D, 2D and density representation illustrating some cases of solutions obtained have been represented from a selection of the appropriate parameters. The modulation instability is employed to discuss the stability of got solutions. That will be extensively used to report many attractive physical phenomena in the fields of acoustics, heat transfer, fluid dynamics, classical mechanics and so on.
Topics & Concepts
MathematicsFluid mechanicsBilinear interpolationInstabilityStability (learning theory)Operator (biology)Representation (politics)Mathematical analysisClassical mechanicsApplied mathematicsPhysicsMechanicsComputer scienceGeneRepressorLawBiochemistryMachine learningPolitical scienceStatisticsPoliticsChemistryTranscription factorNonlinear Waves and SolitonsAdvanced Mathematical Physics ProblemsNonlinear Photonic Systems