A study of traveling wave solutions and modulation instability in the (3+1)-dimensional Sakovich equation employing advanced analytical techniques

Abstract In this paper, we investigate the newly formulated (3+1)-dimensional Sakovich equation, highlighting its utility in describing the dynamics of nonlinear waves. This novel equation effectively incorporates increased dispersion and nonlinear effects, thereby enhancing its applicability across...

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Bibliographic Details
Main Authors: Jamshad Ahmad, Maham Hameed, Zulaikha Mustafa, Farah Pervaiz, Muhammad Nadeem, Yahya Alsayaad
Format: Article
Language:English
Published: Nature Portfolio 2025-07-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-025-00503-7
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