Andrey Gelash

TL;DR: An important class of "superregular solitonic solutions" which are small perturbations at a certain moment of time are found which describe the nonlinear stage of the modulation instability of the condensate.

TL;DR: In this article, experiments in two different areas of wave physics are used to investigate the creation and annihilation dynamics of superregular breather waves, which combine to form an instability in water, plasmas, and laser light.

TL;DR: In this paper, a general N-solitonic solution of the focusing nonlinear Schrodinger equation in the presence of a condensate by using the dressing method is described.

TL;DR: The theoretical model of the nonlinear mutual interactions between a pair of copropagative breathers in the framework of the focusing one-dimensional nonlinear Schrödinger equation sheds new light on the existence of localized wave structures and recurrence dynamics beyond the multisoliton complexes.

TL;DR: This Letter proposes a theoretical model of the asymptotic stage of the noise-induced MI based on N-soliton solutions of the focusing one-dimensional nonlinear Schrödinger equation and reveals a remarkable agreement between spectral and statistical properties of the long-term evolution of the MI and those of the constructed multisoliton, random-phase bound states.