University of Tabriz Computational Methods for Differential Equations 2345-3982 8 3 2020 08 01 Complex Wave Surfaces to the Extended Shallow Water Wave Model with (2+1)-dimensional 585 596 9923 10.22034/cmde.2020.31374.1471 EN Haci Mehmet Baskonus Harran University, Faculty of Education, Sanliurfa, Turkey. 0000-0003-4085-3625 Esin Inan Eskitascioglu Van Yuzuncu Yil University, Faculty of Science, Van, Turkey. Journal Article 2019 01 06 In this paper, we apply an analytical method, namely, the sine-Gordon expansion method and extract some complex optical soliton solutions to the (2+1)-dimensional extended shallow water wave model, which describes the evolution of shallow water wave propagation. We obtain some complex mixed-dark and bright soliton solutions to this nonlinear model. Considering some suitable values of parameters, we plot the various dimensional simulations of every results found in this manuscript. We observe that our result may be useful in detecting some complex waves behaviors. https://cmde.tabrizu.ac.ir/article_9923_3b8c9050d94e3f2f9fcb40718e44a055.pdf