Lie group theory, stability analysis with dispersion property, new soliton solutions and conserved quantities of 3D generalized nonlinear wave equation in liquid …

OD Adeyemo, CM Khalique - Communications in Nonlinear Science and …, 2023 - Elsevier
Nonlinear wave equations emerge naturally in optics as well as fluid dynamics. It is
noteworthy that, an essential class of special solutions that satisfy the underlying equations …

Symmetries, conservation laws, and line soliton solutions of a two-dimensional generalized KdV equation with -power

AP Márquez, TM Garrido, CM Khalique… - … Dynamical Systems-S, 2024 - aimsciences.org
A two-dimensional generalization of the Korteweg-de Vries (KdV) equation with p-power
was studied. This equation appeared in many physical applications. For p> 0, we derived all …