Abundant accurate analytical and semi-analytical solutions of the positive Gardner–Kadomtsev–Petviashvili equation

Abstract This research article examines the correctness of two new analytical methods for solving internal solitary waves shallow seas. To get computational solutions to positive (2 + 1)-dimensional Gardner–Kadomtsev–Petviashvili model, extended simplest equation and modified Kudryashov are used. Numerous traveling wave in various forms developed order assess starting conditions required variational iteration technique, one most accurate semi-analytical methods. The used demonstrate precision obtained employed. dynamical behavior waters is shown using many three-dimensional drawings. performance schemes demonstrates their efficacy power, as well capacity handle a large number nonlinear evolution equations.