Rahman, Mati UrSun, MeiSalimi, MehdiAhmadian, Ali2024-09-112024-09-11202400894-33701099-120410.1002/jnm.32712-s2.0-85199521868https://doi.org/10.1002/jnm.3271https://hdl.handle.net/20.500.14517/6178Ahmadian, Ali/0000-0002-0106-7050The Hirota bilinear (HB) is a powerful and widely used technique to find various types of solitons of integrable systems. In this manuscript, we implement HB technique to find bilinear form of a dimensionally reduced (3+1)-dimensional KdV-Calogero-Bogoyavlenskii-Schiff (KdV-CBS) equation at z = x, z = y, and z = t. We present various results for distinct auxiliary function to study kink solitons and its fission and fusion dynamics. The MATLAB-2020 is used to display all the results via 3D and line 2D graphs for appropriate values of parameters. These findings provide a strong new insight into the nonlinear features of the model and lay the foundation for future studies in soliton dynamics and nonlinear events in related systems.eninfo:eu-repo/semantics/closedAccessfusion and fission processHirota bilinear methodkink solitonArticleQ3Q2374WOS:001276849900001