Unraveling dynamics: Analytical insights into liquid–gas interactions

Mostafa M.A. Khater

Chaos, Solitons & Fractals, 2024, vol. 184, issue C

Abstract: This study employs analytical and semi-analytical methodologies to investigate the dynamic behavior of a (3+1)–dimensional nonlinear model representing the intricate interactions between a liquid and gas bubbles. The utilization of advanced techniques, including the Khater II method, Bernoulli sub-equation function approach, and Adomian decomposition method, facilitates the derivation of novel solitary and periodic wave solutions. These solutions provide crucial insights into the fundamental physical principles governing complex phenomena such as bubble formation, growth, deformation, and collapse.

Keywords: Bubble dynamics; Analytical techniques; Nonlinear differential equations; Fluid mechanics (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:184:y:2024:i:c:s0960077924005290

DOI: 10.1016/j.chaos.2024.114977

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