Akbulut, ArzuMirzazadeh, M.Hashemi, M. S.Hosseini, K.Salahshour, S.Park, C.2024-10-152024-10-152022-10-050217-9792https://doi.org/10.1142/S0217979223500637https://www.worldscientific.com/doi/10.1142/S0217979223500637https://hdl.handle.net/11452/46442In this paper, the symmetry reduction method and Nucci's reduction method are used to obtain exact solutions to the Triki-Biswas equation. Furthermore, the new conservation theorem is utilized for finding the conservation laws of the given model. The conservation laws are derived for each admitted symmetry of the Triki-Biswas equation and satisfy the divergence condition. The 3D, contour and 2D figures are finally plotted to show the dynamics of the obtained exact solutions.eninfo:eu-repo/semantics/closedAccessDifferential-equationsInvariant solutionsSolitonsTriki-biswas equationNucci's reduction methodSymmetry reduction methodNew conservation theoremExact solutionsConservation lawsScience & technologyPhysical sciencesPhysics, appliedPhysics, condensed matterPhysics, mathematicalPhysicsArticle000863912900010370710.1142/S02179792235006371793-6578