A generalized (2+1)-dimensional generalized KdV equation with a plethora of analytical solutions and conservation laws
Year: 2025
Type: article
Abstract: A nonlinear evolution equation of the type u t + α u u x + u x x x + u x + ∫ − ∞ x u t y d x + u y + u x x y + β u u y + β u x ∫ − ∞ x u y d x = 0 , is a generalized (2+1) dimensional equation in which u = u ( x , y , t ) and α , β are real parameters. Together with an ansatz process and the multiple-exp function method, it will be examined from the perspective of Lie symmetry analysis. Lastly, conservation laws and their significant implications will be illustrated. To produce solitonic solutions, the multiple exp-function algorithm, a generalization of Hirota’s perturbation will be used.
Authors: M.C. Sebogodi, A.R. Adem, B. Muatjetjeja
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,470
OpenAlex ID: W4411081016