Zobrazeno 1 - 10
of 500
pro vyhledávání: '"Pelinovsky, Efim"'
This paper contributes in the first part to the correct understanding of the linear limit in the Schamel equation (S-equation) from the perspective of structure formation in collisionless plasmas. The corresponding modes near equilibrium turn out to
Externí odkaz:
http://arxiv.org/abs/2410.17923
In this work, we study the evolution of disturbances within the framework of the Cubic Vortical Whitham (CV-Whitham) equation, considering both positive and negative cubic nonlinearities. This equation plays important role for description of the wave
Externí odkaz:
http://arxiv.org/abs/2409.19424
Algebraic soliton interactions with a periodic or quasi-periodic random force are investigated using the Benjamin-Ono equation. The random force is modeled as a Fourier series with a finite number of modes and random phases uniformly distributed, whi
Externí odkaz:
http://arxiv.org/abs/2409.03790
The present article is devoted to the study of the dynamics of narrowband wave fields within the non-integrable Schamel equation, which plays an important role in plasma physics, wave dynamics in metamaterials, and electrical circuits. A Monte Carlo
Externí odkaz:
http://arxiv.org/abs/2408.17411
Pair soliton interactions play a significant role in the dynamics of soliton turbulence. The interaction of solitons with different polarities is particularly crucial in the context of abnormally large wave formation, often referred to as freak or ro
Externí odkaz:
http://arxiv.org/abs/2310.15873
Soliton gas or soliton turbulence is a subject of intense studies due to its great importance to optics, hydrodynamics, electricity, chemistry, biology and plasma physics. Usually, this term is used for integrable models where solitons interact elast
Externí odkaz:
http://arxiv.org/abs/2310.05705
Autor:
Rybkin, Alexei, Pelinovsky, Efim, Bobrovnikov, Oleksandr, Palmer, Noah, Pniushkova, Ekaterina, Abramowicz, Daniel
The study of the process of catastrophic tsunami-type waves on the coast makes it possible to determine the destructive force of waves on the coast. In hydrodynamics, the one-dimensional theory of the run-up of non-linear waves on a flat slope has ga
Externí odkaz:
http://arxiv.org/abs/2309.14553
This study investigates the numerical evolution of an initially internal random wave field characterized by a Gaussian spectrum shape using the Benjamin-Ono (BO) equation. The research focuses on analyzing various properties associated with the BO ra
Externí odkaz:
http://arxiv.org/abs/2307.08031
This study aims to explore the complex interactions between an internal solitary wave and an external force using the Benjamin-Ono equation as the theoretical framework. The investigation encompasses both asymptotic and numerical approaches. By assum
Externí odkaz:
http://arxiv.org/abs/2307.00326
This article presents a numerical investigation of overtaking collisions between two solitary waves in the context of the Schamel equation. Our study reveals different regimes characterized by the behavior of the wave interactions. In certain regimes
Externí odkaz:
http://arxiv.org/abs/2306.11130