Quantum systems can be characterized by their correlations,. Higher-order (larger than
second order) correlations, and the ways in which they can be decomposed into correlations …

Understanding the phenomenon of rogue wave formation, often called extreme waves, in
diverse branches of nonlinear science has become one of the most attractive domains …

We consider the scattering of kinks of the sinh-deformed φ^ 4 φ 4 model, which is obtained
from the well-known φ^ 4 φ 4 model by means of the deformation procedure. Depending on …

We present the first exact theory and analytical formulas for the large-scale phase
fluctuations in the sine-Gordon model, valid in all regimes of the field theory, for arbitrary …

We study collisions of coherent structures in higher-order field-theoretic models, such as the
ϕ 8, ϕ 10 and ϕ 12 ones. The main distinguishing feature, of the example models …

The generation of travelling sine-Gordon breathers is achieved through the nonlinear
supratransmission effect in a magnetically driven long Josephson junction, in the presence …

Separation of Variables and Exact Solutions to Nonlinear PDEs is devoted to describing and
applying methods of generalized and functional separation of variables used to find exact …

A complete framework for exciting and detecting thermally-induced, stabilized sine-Gordon
breathers in ac-driven annular long Josephson junctions is developed. The formation of long …

We investigate the influence of the stimulated Raman scattering on the formation of bright
and dark localized states in all-fiber resonators subject to a coherent optical injection, when …

The Lyapunov approach is a powerful tool for the stability analysis and feedback design of
dynamic systems. Converse Lyapunov function theory guarantees the existence of …