We present a study on the interaction between wind and water waves with a broad-band
spectrum using wave-phase-resolved simulation with long-term wave field evolution. The …

We study numerically the nonlinear stage of the modulational instability (MI) of cnoidal
waves in the framework of the focusing one-dimensional nonlinear Schrödinger (NLS) …

Nowadays, breather solutions are generally accepted models of rogue waves. However,
breathers exist on a finite background and therefore are not localized, while wavefields in …

We provide a systematic comparison of two numerical methods to solve the widely used
nonlinear Schrödinger equation (NLSE). The first one is the standard second order split-step …

The details of the numerical scheme and the method of specifying the initial conditions for
the simulation of the irregular dynamics of soliton ensembles within the framework of …

Ocean waves play a critical role in connecting the atmosphere to the ocean and sha** the
global climate. Existing statistics wave models are inappropriate for the mechanistic study of …

The present work offers an investigation of dynamics and stability of nonlinear waves in
Hamiltonian systems. The first part of the manuscript discusses the classical problem of …

Приведены детали численной схемы и способа задания начальных условий для
моделирования нерегулярной динамики ансамблей солитонов в рамках уравнений …

This paper considers the existence of the generalized solution to the Cauchy problem for a
class of generalized Zakharov equation in three dimensions. By a priori integral estimates …