Breather-type and multi-wave solutions for(2+1)-dimensional nonlocal Gardner equation

In this work, different kinds of solutions including breather-type and multi-wave solutions are obtained for the ( 2 + 1 ) -dimensional Gardner equation by using bilinear form, the extended homoclinic test approach and three-wave method. We obtained the coefficient conditions in solution ansatz for the existing of breather and multi-wave solutions. By selecting appropriate values of the parameter, three dimensional, contour and density plots of solutions are drawn in order to better understand the dynamic behaviors of considered physical phenomena.