2023-01-092023-01-092017-06Yıldırım, Y. ve Yaşar, E. (2017). ''Multiple exp-function method for soliton solutions of nonlinear evolution equations''. Chinese Physics B, 26(7).1674-1056https://doi.org/10.1088/1674-1056/26/7/070201https://iopscience.iop.org/article/10.1088/1674-1056/26/7/0702011741-4199http://hdl.handle.net/11452/30341We applied the multiple exp-function scheme to the (2+1)-dimensional Sawada-Kotera (SK) equation and (3+1)-dimensional nonlinear evolution equation and analytic particular solutions have been deduced. The analytic particular solutions contain one-soliton, two-soliton, and three-soliton type solutions. With the assistance of Maple, we demonstrated the efficiency and advantages of the procedure that generalizes Hirota's perturbation scheme. The obtained solutions can be used as a benchmark for numerical solutions and describe the physical phenomena behind the model.eninfo:eu-repo/semantics/closedAccessPhysics(2+1)-dimensional Sawada-Kotera (SK) equation(3+1)-dimensional nonlinear evolution equation (NLEE)Multiple exp-function method, multiple wave solutions(2+1)-dimensional sawada-koteraBacklund transformationFunction algorithmWave-equationsTanh methodFormDifferential equationsSolitons(2+1)-dimensional Sawada-Kotera (SK) equationExp-function methodMultiple wave solutionsNonlinear evolution equationNumerical solutionParticular solutionPhysical phenomenaSoliton solutionsNonlinear equationsMultiple exp-function method for soliton solutions of nonlinear evolution equationsArticle0004051280000012-s2.0-85021955070267Physics, multidisciplinaryHirota Bilinear Method; Social Interaction; Kadomtsev-Petviashvili Equation