TY - GEN A1 - Sieber, Jan A1 - Radziunas, Mindaugas A1 - Schneider, Klaus T1 - Dynamics of multisection semiconductor lasers N2 - Abstract. We consider a mathematical model (the so-called traveling-wave system) which describes longitudinal dynamical effects in semiconductor lasers. This model consists of a linear hyperbolic system of PDEs, which is nonlinearly coupled with a slow subsystem of ODEs. We prove that a corresponding initial-boundary value problem is well posed and that it generates a smooth infinite-dimensional dynamical system. Exploiting the particular slow–fast structure, we derive conditions under which there exists a lowdimensional attracting invariant manifold. The flow on this invariant manifold is described by a system of ODEs. Mode approximations of that system are studied by means of bifurcation theory and numerical tools. Y1 - 2004 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/185 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-1855 ER -