Many extended physical systems are modelled by classical soliton equations (KdV, SG, NLS etc.), possessing, far from equilibrium, a variety of nontrivial solutions. The question of reaching and controlling a particular stable solution (excitation) in this solutions set is fundamental to many applications. One way of forming desired solutions is based on choosing proper, frequently nontrivial initial/boundary conditions. I will describe a different recent approach to formation of multiplicity of nonlinear excitations from trivial initial/boundary conditions based on capturing the system into resonance with external perturbations followed by a continuing self-synchronization (autoresonance) in space and/or time. The synchronization means excursion in system’s solutions space with possible emergence of a desired nontrivial state. Applications of this paradigm exist in vorticity dominated flows [1], plasmas [2], as well as in planetary dynamics [3], and molecular physics [4]. I will present main ideas of wave autoresonance and focus on autoresonant wave interactions in plasmas and new developments on formation and control of large amplitude multi-phase nonlinear waves.

• 1. L. Friedland, Phys. Rev. E 59, 4106 (1999).
• 2. R.R. Lindberg, A.E. Charman, J.S. Wurtele, and L. Friedland, Phys. Rev. Lett. 93, 055001 (2004).
• 3. L. Friedland, Astrophys. J. Lett. 547, L75 (2001)[[../../../Vitae,Citations,WebPage/public_html/93.pdf|]]
• 4. G. Marcus, A. Zigler, and L. Friedland, Europhys. Lett. 74, 43 (2006).