Duran, SerbayKaya, Doğan2020-11-212020-11-2120121818-4952https://doi.org/10.5829/idosi.wasj.2012.18.11.1507https://hdl.handle.net/11467/3795In this paper, we presented a new expansion method constructed by taking inspiration for the Kudryashov method. Bernoulli equation was chosen in the form of F' = FB n-AF and made some expansions on the auxiliary Bernoulli equation which used in this method. In this auxiliary Bernoulli equation, by taking n = 3, some wave solutions obtained from Burgers equation and the shallow water wave equation system. As a result, for special values, we concludedthree dimensional wave views for solutions of Burgers Equation and the shallow water wave equation system.To sum up, it is considered that this method can be applied to other nonlinear evolution equations in mathematics physics. © IDOSI Publications, 2012.eninfo:eu-repo/semantics/closedAccessA new expansion methodBurgers equationKudryashov methodSystem of the shallow water wave equationTravelling wave solutionArticle181115821592N/A2-s2.0-8486867851210.5829/idosi.wasj.2012.18.11.1507