Multiwave and interaction solutions and Lie symmetry analysis to a new (2 + 1)-dimensional Sakovich equation

Abstract

In this study, we construct multi wave solutions for the (2 + 1)-dimensional Sakovich equation by utilizing the logarithmic transformation of the dependent variables and symbolic computation with the ansatz function technique. We used three different method including multi waves method, double exponential form and homoclinic breather approach. 3D graphics of the solutions in different structures are drawn for some values for the parameters. Furthermore, the Lie symmetry analysis is performed for the (2 + 1)-dimensional Sakovich equation. Using the Lie symmetry groups approach, we construct the transformation groups and vector fields. We obtain the symmetry reductions and invariant solutions of the equation via these vector fields. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.