Nonlinear Waves: From Theoretical and Computational Advances to Experimental Observations

The palette of coherent structures in nonlinear media is very rich extending from the classic 1D ones like pulses, fronts, kinks, breathers, (dark/bright) solitons, to higher dimensional ones like vortices, vortex rings and knots, spiral waves and more exotic ones like skyrmions and monopoles. These structures are highly interesting in their own right, but also play a crucial role as building blocks towards understanding more complicated and realistic features of the full underlying systems. The methodologies of studying this field vary from techniques taken from the fields of Mathematical Analysis and Differential Equations to Numerical Analytical and Machine Learning techniques, while Experiments always play a crucial role in touching base with respect to physical reality. This conference aims to bring together people both from the analytical and the computational worlds along with experimental practitioners to discuss the state-of-the-art and emergent challenges of the field of nonlinear waves and coherent structures. It will accordingly seek to establish a mutually beneficial dialogue which could provide valuable insights in different directions, setting the stage towards future investigations.