Affiliation:
1. Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt
Abstract
The current paper presents the first treatment to obtain the solution of a complex Helmholtz–Duffing oscillator. This model has described the elevation of the surface waves in fluid mechanics. The non-perturbative approach is used to convert the nonlinear oscillator to a linear oscillator to derive the solution of the complex nonlinear oscillator. This paper has opened the path for a new way to study more complex nonlinear elevation of surface waves.
Subject
Mechanical Engineering,Geophysics,Mechanics of Materials,Acoustics and Ultrasonics,Building and Construction,Civil and Structural Engineering
Reference38 articles.
1. A THEORETICAL STUDY OF OSCILLATIONS OF TWO IMMISCIBLE FLUIDS IN A LIMITED TANK
2. Dino Zrni C, Gregor Plohl, Brenn Günter. Weakly nonlinear shape oscillations of a viscous drop. In 29th Conference on Liquid Atomization and Spray Systems. Paris, France, September 2019
3. NUMERICAL SIMULATION OF FLUID-STRUCTURE INTERACTION BETWEEN FISHING WOBBLER AND WATER
4. La Roca M, Sciortino G, Boniforti MA. On the dynamics of the separation surface in a two liquid layer system. In International conferences on boundary and interior layers. Toulouse: France, 26–28 July 2004.
5. Effect of Dielectric Viscoelastic Interface on Nonlinear Kelvin-Helmholtz Instability
Cited by
10 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献