RT journal article
T1 Symmetries, conservation laws, and line soliton solutions of a two-dimensional generalized kdv equation with p-POWER
A1 Márquez, A.P.
A1 Garrido Letrán, Tamara María
A1 Khalique, C.M.
A1 Gandarias Nuñez, María Luz
A2 Matemáticas
AB ct. A two-dimensional generalization of the Korteweg-de Vries (KdV)equation with p-power was studied. This equation appeared in many physicalapplications. For p > 0, we derived all point symmetries and conservation lawsincluding those existing for special powers. The conserved quantities were studied. We also determined an explicit line soliton solution using some invariantunder translation conservation laws for p > 0. Finally, by using invariant underscaling conservation laws, we reduced the traveling wave ordinary differentialequation for different values o p.
PB American Institute of Mathematical Sciences
SN 1937-1179
YR 2025
FD 2025
LK http://hdl.handle.net/10498/35762
UL http://hdl.handle.net/10498/35762
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026