The generalized (2 + 1) and (3+1)-dimensional with advanced analytical wave solutions via computational applications

Document Type : Research Paper

Authors

1 Mathematics Department, Education for Pure Science Faculty, Basrah University, Basrah, Iraq

2 Department of Basic Science (Mathematics), Deanship of Common First Year, Majmaah University, Riyadh, Saudi Arabia

10.22075/ijnaa.2021.5222

Abstract

The analytical solutions for an important generalized Nonlinear evolution equations NLEEs dynamical partial differential equations (DPDEs) that involve independent variables represented by the (2 + 1)-dimensional breaking soliton equation, the (2 + 1)-dimensional Calogero--Bogoyavlenskii--Schiff  (CBS) equation, and the (2 +1)-dimensional Bogoyavlenskii's breaking soliton equation (BE), and some new exact propagating solutions to a generalized (3+1)-dimensional KP equation with variable coefficients are constructed by using a new algorithm of the first integral method (NAFIM) and determined some analytical solutions by appointing special values of the parameters. In addition to that, we showed a new variety and unique travelling wave solutions by graphical illustration with symbolic computations.

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