RT journal article
T1 Lie symmetry analysis of (2+1)-dimensional KdV equations with variable coefficients
A1 Rosa Silva, Rafael de la
A1 Recio Rodríguez, Elena
A1 Garrido Letrán, Tamara María
A1 Bruzón Gallego, María de los Santos
A2 Matemáticas
K1 Variable-coefficient KdV equations
K1 solvable symmetry algebras
K1 symmetries
K1 symmetry reductions
AB In this paper, symmetry groups are used to obtain symmetry reductionsof (2+1)-dimensional KdV equations with variable coefficients. Despitethe fact that these equations emerge in a nonlocal form, by using suitabletransformations, they can be written as systems of partial differentialequations, and in potential form, as fourth-order partial differentialequations. We show that the point symmetries of the potential equationinvolve a large number of arbitrary functions. Moreover, these symmetriesare used to transform the fourth-order partial differential equationsinto (1+1)-dimensional fourth-order differential equations. Furthermore,we have determined all two-dimensional solvable symmetry subalgebras,under certain restrictions, which the potential equation admits. Finally, byway of example, taking into account a two-dimensional abelian subalgebra,we obtain a direct reduction of the potential equation to an ordinarydifferential equation.
PB Taylor and Francis
SN 0020-7160
YR 2020
FD 2020
LK http://hdl.handle.net/10498/33276
UL http://hdl.handle.net/10498/33276
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 22-sep-2026