Mathematics and Computational Sciences

A generalized (3+1)-dimensional Kadomtsev-Petviashvili equation with power-law nonlinearity: a variety of soliton solutions, symmetry analysis, and conserved vectors

Articles in Press

Document Type : Original Article

Authors

Thabo Sylvester Moretlo 1
Ben Muatjetjeja 2
Abdullahi Rashid Adem 3

1 Department of Mathematical Sciences, Faculty of Natural and Applied Sciences, Sol Plaatje University, Kimberly

2 Department of Mathematics, Faculty of Science, University of Botswana, Gaborone

3 Department of Mathematical Sciences, University of South Africa, Pretoria

https://doi.org/10.30511/mcs.2026.2076757.1592
Abstract
A generalized Kadomtsev-Petviashvili equation with power-law nonlinearity in (3+1) dimensions is derived in this study. We demonstrate that 1-soliton solutions are admissible for this equation. Ansatz techniques will be used to achieve this. Additionally, a range of solutions are derived, including periodic and unique solutions. Additionally, a Lie symmetry-based analytical solution is found. Low-order conservation laws are also developed.

Keywords

Soliton solutions
Periodic solutions
Point symmetries
Conservation laws
Subjects
Mathematics and Computational Sciences

Articles in Press, Accepted Manuscript
Available Online from 22 October 2026

  • Receive Date 05 November 2025
  • Revise Date 18 October 2026
  • Accept Date 18 October 2026

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