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Unraveling dynamics: Analytical insights into liquid–gas interactions

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  • Khater, Mostafa M.A.

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.

Suggested Citation

  • Khater, Mostafa M.A., 2024. "Unraveling dynamics: Analytical insights into liquid–gas interactions," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
  • Handle: RePEc:eee:chsofr:v:184:y:2024:i:c:s0960077924005290
    DOI: 10.1016/j.chaos.2024.114977
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    References listed on IDEAS

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    1. Kuo, Chun-Ku, 2021. "A study on the resonant multi-soliton waves and the soliton molecule of the (3+1)-dimensional Kudryashov–Sinelshchikov equation," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    2. Mostafa M. A. Khater & Aliaa Mahfooz Alabdali, 2021. "Multiple Novels and Accurate Traveling Wave and Numerical Solutions of the (2+1) Dimensional Fisher-Kolmogorov- Petrovskii-Piskunov Equation," Mathematics, MDPI, vol. 9(12), pages 1-13, June.
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