Adem, Abdullahi Rashid2022-12-272022-12-272017-05-25Yıldırım, Y. vd. (2017). ''A multiple exp-function method for the three model equations of shallow water waves''. Nonlinear Dynamics, 89(3), 2291-2297.0924-090Xhttps://doi.org/10.1007/s11071-017-3588-9https://link.springer.com/article/10.1007/s11071-017-3588-91573-269Xhttp://hdl.handle.net/11452/30108In this study, we consider three model equations of shallow water waves. Shallow water equations model the propagation of strongly nonlinear waves up to breaking and run-up in nearshore zones. We perform multiple exp-function method which is known as a generalization of Hirota's perturbation scheme. We yield one-, two-, and three-wave solutions. The obtained solutions can be used as benchmarks for numerical solutions of the underlying equations.eninfo:eu-repo/semantics/closedAccessEngineeringMechanicsMultiple exp-function methodShallow water wavesThe three model equations of shallow water wavesHirota 3-soliton conditionTanh-coth methodSoliton-solutionsBilinear equationsFunction algorithmSearchKPEquations of motionNonlinear equationsExp-function methodMultiple wave solutionsNear-shore zonesNumerical solutionShallow water equationsStrongly nonlinearWave solutionWater wavesArticle0004059628000502-s2.0-8502008128622912297893Engineering, mechanicalMechanicsHirota Bilinear Method; Social Interaction; Kadomtsev-Petviashvili Equation