Abstract

In this study, the abundant families of multiwave structures are constructed for (2 + 1)‐dimensional Sakovich model. The single and combined wave structures are observed in shock, complex solitary‐shock, shock‐singular, and periodic‐singular forms. The rational solutions are also emerged during the derivation. The new modified extended direct algebraic (NMEDA) technique and mathematica software are used to obtained the solutions. The obtained results are very useful to study and verify the analytical solutions with numerical and experimental work in nonlinear dynamics. Moreover, the graphics of obtained solutions for the different values of parameters are drawn in three and two dimensions along with their contour diagrams.

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