We analyze both theoretically and by means of numerical simulations the phenomena of filamentation and dynamical formation of self-guided nonlinear waves in media featuring competing cubic and quintic nonlinearities. We provide a theoretical description of recent experiments in terms of a linear stability analysis supported with simulations, showing the possibility of experimental observation of the modulational instability suppression of intense light pulses travelling across such nonlinear media. We also show a novel mechanism of indirect excitation of {\em light condensates} by means of coalescence processes of nonlinear coherent structures produced by managed filamentation of high power laser beams.
The universality of filamentation-caused challenges of ultrafast laser energy deposition in semiconductors
Friedrich Schiller University Jena（耶拿弗里德里希·席勒大学）；Laboratoire Hubert Curien, Université Jean Monnet（让·莫内大学于贝尔·居安实验室）；First Light Imaging S.A.S.（第一束光成像有限公司）；Institute of Electronic Structure and Laser (IESL), Foundation for Research and Technology—Hellas (FORTH)（希腊基础研究与技术基金会电子结构与激光研究所）；University of Crete（克里特大学）；Fraunhofer Institute for Applied Optics and Precision Engineering IOF（弗劳恩霍夫应用光学和精密工程研究所）
Orbital stability of kinks in the NLS equation with competing nonlinearities
Brown University（布朗大学）；University of Massachusetts Amherst（马萨诸塞大学阿默斯特分校）；Okinawa Institute of Science and Technology Graduate University（冲绳科学技术大学院大学）；McMaster University（麦克马斯特大学）
