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This research explores different types of exact wave solitons of nonlinear (4+1)-dimensional Davey–Stewartson–Kadomtsev–Petviashvili (DSKP) model along truncated M-fractional by applying the Sardar sub-equation and generalized Kudryashov methods. This model describes the interactions among internal waves. This model is used to represent the nonlinear natural occurrence. The obtained results involve dark, singular, bright, periodic and other solitons. The gained results satisfy the concerned model and are represented by 2D, 3D and contour graphs. The gained results are not present in the literature due to the use of fractional derivative. Impacts of truncated M-fractional derivative on gained results are also represented by graphs. Hence, our gained results are fruitful in the future study for these models. Finally, we conclude that the applied techniques are simple, fruitful and reliable to solve the other models in mathematical physics.
Junjua et al. (Tue,) studied this question.