RT journal article
T1 Exact solutions to a family of position-dependent mass damped oscillators from variational λ-symmetries
A1 Ruiz Serván, Adrián
A1 Muriel Patino, María Concepción
A2 Matemáticas
K1 exact solutions
K1 Liénard equation
K1 position-dependent mass
K1 variational λ-symmetry
AB A wide family of position-dependent mass damped oscillators affected by an external potential is investigated. First, a Lagrangian formulation is introduced for the corresponding problem. The Lagrangian function is time-dependent, and the problem cannot be approached with classical procedures because it lacks variational symmetries. Therefore, the variational (Formula presented.) -symmetry method is applied to find exact solutions. Variational (Formula presented.) -symmetries are determined for a family of potential functions, which lead to a one-parameter family of exact solutions. The results are applied to particular examples corresponding to some interesting mass functions reported in the previous literature.
PB Wiley
SN 0170-4214
YR 2023
FD 2023-10-06
LK http://hdl.handle.net/10498/31316
UL http://hdl.handle.net/10498/31316
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026