Artículo
Lagrangian Formalism in Perturbed Nonlinear Klein-Gordon Equations
Autor/es | Quintero, Niurka R.
Zamora-Sillero, Elías |
Departamento | Universidad de Sevilla. Departamento de Física Aplicada I |
Fecha de publicación | 2004 |
Fecha de depósito | 2016-06-24 |
Publicado en |
|
Resumen | We develop an alternative approach to study the effect of the generic perturbation (in addition to explicitly considering the
loss term) in the nonlinear Klein–Gordon equations. By a change of the variables that cancel ... We develop an alternative approach to study the effect of the generic perturbation (in addition to explicitly considering the loss term) in the nonlinear Klein–Gordon equations. By a change of the variables that cancel the dissipation term we are able to write the Lagrangian density and then, calculate the Lagrangian as a function of collective variables. We use the Lagrangian formalism together with the Rice Ansatz to derive the equations of motion of the collective coordinates (CCs) for the perturbed sine-Gordon (sG) and φ4 systems. For the N collective coordinates, regardless of the Ansatz used, we show that, for the nonlinear Klein–Gordon equations, this approach is equivalent to the Generalized Traveling Wave Ansatz (GTWA). |
Agencias financiadoras | Ministerio de Ciencia y Tecnología (MCYT). España Junta de Andalucía |
Cita | Quintero, N.R. y Zamora-Sillero, E. (2004). Lagrangian Formalism in Perturbed Nonlinear Klein-Gordon Equations. Physica D, 197, 1-9. |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
PREPRINT_Quintero_2004_Lagrang ... | 114.9Kb | [PDF] | Ver/ | |