The Lugiato-Lefever equation with nonlinear damping caused by two photon absorption

Janina Gärtner, Rainer Mandel, Wolfgang Reichel

In this paper we investigate the effect of nonlinear damping on the Lugiato-Lefever equation $$ı{\partial }_{t}a=-(ı-\zeta )a-d{a}_{xx}-(1+ı\kappa )|a{|}^{2}a+ıf$$ on the torus or the real lin…