Periodic wave solutions and stability analysis for the (3+1)-D potential-YTSF equation arising in fluid mechanics

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.

Keywords:

• Potential-Yu–Toda–Sasa–Fukuyama equation
• Hirota bilinear operator method
• periodic wave solution
• modulation instability

2010 Mathematics Subject Classifications:

• 35D30
• 35Q51

Disclosure statement

No potential conflict of interest was reported by the author(s).