New Bright Soliton and Kink Wave Solutions for a Nonlinear Evolution Equation
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i4.6217Keywords:
Solitary wave; kink and anti-kink; soliton; dark and bright solitonsAbstract
This article focuses on the generalized improved Boussinesq (GIBE) equation. The GIBE equation is used to model nonlinear phenomena in various physical contexts such as shallow water waves and quantum fluid dynamics. The new extended direct algebraic method (NEDAM) is employed to obtain exact solutions to this nonlinear evolution equation. Using this method,
we derive kink, anti-kink, soliton, and solitary wave solutions, including various bright, dark, and mixed-form solitons. Families of exponential, hyperbolic, and periodic wave solutions with arbitrary parameters are also obtained. The analytical solutions are visualized through explicit expressions and graphical illustrations, providing insights into wave dynamics. The findings have potential applications in optical fibers, fluid dynamics, and other engineering and physical science
areas.
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Copyright (c) 2025 Najla A. Mohammed, Naveed Shahid, Tahira Sumbal Shaikh, Nauman Ahmed, Farwa Ghafoor, Muhammad Zafarullah Baber, Ilyas Khan, Wei Sin Koh
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