%0 Journal Article 
%A Márquez, A.P.
%A Garrido Letrán, Tamara María
%A Khalique, C.M.
%A Gandarias Nuñez, María Luz
%T Symmetries, conservation laws, and line soliton solutions of a two-dimensional generalized kdv equation with p-POWER
%D 2025
%@ 1937-1179

%U http://hdl.handle.net/10498/35762
%X ct. 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 point symmetries and conservation laws
including those existing for special powers. The conserved quantities were studied. We also determined an explicit line soliton solution using some invariant
under translation conservation laws for p > 0. Finally, by using invariant under
scaling conservation laws, we reduced the traveling wave ordinary differential
equation for different values o p.
%~ Universidad de Cádiz