RT journal article
T1 Analytic study of a coupled Kerr-SBS system
A1 Conte, Robert
A1 Gandarias Nuñez, María Luz
A2 Matemáticas
K1 Stimulated Brillouin scattering
K1 Painlevé test
K1 exact solutions
K1 Lie symmetries
K1 reductions
AB In order to describe the coupling between the Kerr nonlinearity and the stimulated Brillouinscattering, Mauger et al. recently proposed a system of partial differential equations in threecomplex amplitudes. We perform here its analytic study by two methods. The first method isto investigate the structure of singularities, in order to possibly find closed form singlevaluedsolutions obeying this structure. The second method is to look at the infinitesimal symmetriesof the system in order to build reductions to a lesser number of independent variables. Ouroverall conclusion is that the structure of singularities is too intricate to obtain closed formsolutions by the usual methods. One of our results is the proof of the nonexistence of travelingwaves.
PB Elsevier
SN 1007-5704
YR 2017
FD 2017
LK http://hdl.handle.net/10498/35509
UL http://hdl.handle.net/10498/35509
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026