أخبار الأبحاث

By Azad Piro Shakir | Alexandria Engineering Journal

https://doi.org/10.1016/j.aej.2023.05.052

In this article, the Hirota bilinear method is utilized to reveal multi-fusion solutions to the Broer-Kaup-Kupershmidt (BKK) system in (2 + 1)-dimension. The Broer-Kaup equations are a pair of linked nonlinear partial differential equations which plays a great role in nonlinear physics. The solutions are one-, two-, three-, and four-soliton resonant wave solutions. On the other hand, the new modified Sardar sub-equation method (SSEM) is employed to reach complex wave solutions in the form of topological, non-topological, and other wave solutions. By selecting suitable values for parameters, the dynamics of some of the reported solutions are graphed. The reported solutions are novel and have not previously been reported in the present literature. The solutions may be useful in explaining the physical meaning of various nonlinear physical models.