https://doi.org/10.1140/epjp/s13360-022-03301-6
Regular Article
Lump, periodic and travelling wave solutions to the (2+1)-dimensional pKP-BKP model
1
Department of Mathematics, Mirpur University of Science and Technology, 10250, Mirpur, (AJK), Pakistan
2
Department of Mathematics, Saint Xavier University, 60655, Chicago, IL, USA
Received:
30
June
2022
Accepted:
18
September
2022
Published online:
1
October
2022
In this study, the (2+1)-dimensional combined potential Kadomtsev-Petviashvili with B-type Kadomtsev–Petviashvili equation is investigated via two diverse techniques. Firstly, we retrieve the bilinear form of given equation by utilizing Hirota bilinear method. Consequently, the lump waves and collisions among lumps and periodic waves, the collision between lump wave and single, double-kink soliton solutions, the collision among lump, periodic, and single, double-kink soliton solutions as well as periodic wave soliton solutions for the given model are constructed. Lastly, the polynomial-expansion method is implemented to acquire the exact travelling wave solution to the equation. Moreover, 3D, contour and 2D graphs are used to demonstrate the physical nature of many intriguing exact solutions. A wide range of nonlinear partial differential equations can be solved using the considered methods.
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