Gümüş, HalideBaykal, Abdullah2025-02-222025-02-2220242149-3367https://doi.org/10.35414/akufemubid.1404205https://search.trdizin.gov.tr/tr/yayin/detay/1270731https://hdl.handle.net/11468/30057Boussinesq Equations (BSQ) are the focus of this article. First, we provide a basic overview of Hirota's D operator, which is used to build multi-soliton solutions for equations involving nonlinear evolution. After that, some details regarding fourth-order BSQ are provided, and we use Hirota's direct method to find a one-solution solution. Hirota's bilinear approach is also used to solve a class of sixth-order Boussinesq-like equations with nonlinear evolution. The outcomes verified that this approach requires complete integrability.eninfo:eu-repo/semantics/openAccessSoliton solutionsHirota's Direct MethodBoussinesq equationsmathematica 12Article24511131119127073110.35414/akufemubid.1404205