arXiv: Pattern Formation and Solitons最新文献_第3页

Strongly coherent dynamics of stochastic waves causes abnormal sea states 随机波的强相干动力学引起异常海况

arXiv: Pattern Formation and Solitons Pub Date : 2019-11-26 DOI: 10.5194/egusphere-egu2020-5348

A. Slunyaev

{"title":"Strongly coherent dynamics of stochastic waves causes abnormal sea states","authors":"A. Slunyaev","doi":"10.5194/egusphere-egu2020-5348","DOIUrl":"https://doi.org/10.5194/egusphere-egu2020-5348","url":null,"abstract":"\u0000 The dynamic kurtosis (i.e., produced by the free wave component) is shown to contribute essentially to the abnormally large values of the full kurtosis of the surface displacement, according to the direct numerical simulations of realistic directional sea waves within the HOSM framework. In this situation the free wave stochastic dynamics is strongly non-Gaussian, and the kinetic approach is inapplicable. Traces of coherent wave patterns are found in the Fourier transform of the directional irregular sea waves. They strongly violate the classic dispersion relation and hence lead to a greater spread of the actual wave frequencies for given wavenumbers.The research by is supported by the RSF grant No. 16-17-00041.Slunyaev, A. Kokorina, The method of spectral decomposition into free and bound wave components. Numerical simulations of the 3D sea wave states. Geophysical Research Abstracts, V. 21, EGU2019-546 (2019).A.V. Slunyaev, A.V. Kokorina, Spectral decomposition of simulated sea waves into free and bound wave components. Proc. VII Int. Conf. “Frontiers of Nonlinear Physics”, 189-190 (2019).Slunyaev, A. Kokorina, I. Didenkulova, Statistics of free and bound components of deep-water waves. Proc. 14th Int. MEDCOAST Congress on Coastal and Marine Sciences, Engineering, Management and Conservation (Ed. E. Ozhan), Vol. 2, 775-786 (2019).Slunyaev, Strongly coherent dynamics of stochastic waves causes abnormal sea states. arXiv: 1911.11532 (2019).\u0000","PeriodicalId":154515,"journal":{"name":"arXiv: Pattern Formation and Solitons","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115403496","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Numerical investigation of coherent and turbulent structures of light via nonlinear integral mappings 基于非线性积分映射的光相干和湍流结构的数值研究

arXiv: Pattern Formation and Solitons Pub Date : 2019-11-25 DOI: 10.20537/2076-7633-2020-12-5-979-992

A. Okulov

{"title":"Numerical investigation of coherent and turbulent structures of light via nonlinear integral mappings","authors":"A. Okulov","doi":"10.20537/2076-7633-2020-12-5-979-992","DOIUrl":"https://doi.org/10.20537/2076-7633-2020-12-5-979-992","url":null,"abstract":"The propagation of stable coherent entities of an electromagnetic field in nonlinear media with parameters varying in space can be described in the framework of iterations of nonlinear integral transformations. It is shown that for a set of geometries relevant to typical problems of nonlinear optics, numerical modeling by reducing to dynamical systems with discrete time and continuous spatial variables to iterates of local nonlinear Feigenbaum and Ikeda mappings and nonlocal diffusion-dispersion linear integral transforms is equivalent to partial differential equations of the Ginzburg-Landau type in a fairly wide range of parameters. Such nonlocal mappings , which are the products of matrix operators in the numerical implementation, turn out to be stable numerical-difference schemes, provide fast convergence and an adequate approximation of solutions. The realism of this approach allows one to take into account the effect of noise on nonlinear dynamics by superimposing a spatial noise specified in the form of a multimode random process at each iteration and selecting the stable wave configurations. The nonlinear wave formations described by this method include optical phase singularities, spatial solitons, and turbulent states with fast decay of correlations. The particular interest is in the periodic configurations of the electromagnetic field obtained by this numerical method that arise as a result of phase synchronization, such as optical lattices and self-organized vortex clusters.","PeriodicalId":154515,"journal":{"name":"arXiv: Pattern Formation and Solitons","volume":"352 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125481672","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Analytic Traveling-Wave Solutions of the Kardar-Parisi-Zhang Interface Growing Equation with Different Kind of Noise Terms 含不同噪声项的kardar - paris - zhang界面生长方程的行波解析解

arXiv: Pattern Formation and Solitons Pub Date : 2019-07-01 DOI: 10.1007/978-3-030-56323-3_19

I. F. Barna, G. Bogn'ar, M. Guedda, K. Hricz'o, L. M'aty'as

引用次数: 7

Large-amplitude periodic atomic vibrations in diamond 金刚石中的大振幅周期性原子振动

arXiv: Pattern Formation and Solitons Pub Date : 2018-07-19 DOI: 10.1142/S2424913018500029

G. Chechin, D. Ryabov, S. Shcherbinin

引用次数: 13

On Madelung systems in nonlinear optics: A reciprocal invariance 非线性光学中的马德隆系统:一个互易不变性

arXiv: Pattern Formation and Solitons Pub Date : 2018-05-11 DOI: 10.1063/1.5025667

C. Rogers, B. Malomed

引用次数: 15

Nonlinear Beam Propagation in a Class of Complex Non-(mathcal {PT})-Symmetric Potentials 一类复杂非(mathcal {PT})对称势的非线性光束传播

arXiv: Pattern Formation and Solitons Pub Date : 2018-01-25 DOI: 10.1007/978-981-13-1247-2_20

J. Cuevas-Maraver, P. Kevrekidis, D. Frantzeskakis, Y. Kominis

引用次数: 2

Bloch oscillations and resonant radiation of light propagating in arrays of nonlinear fibers with high-order dispersion 光在高阶色散非线性光纤阵列中传播的布洛赫振荡和共振辐射

arXiv: Pattern Formation and Solitons Pub Date : 2017-09-05 DOI: 10.1103/PhysRevA.96.033827

A. Yulin, R. Driben, T. Meier

引用次数: 7

Solitary waves in the Nonlinear Dirac Equation 非线性狄拉克方程中的孤波

arXiv: Pattern Formation and Solitons Pub Date : 2017-07-06 DOI: 10.1007/978-3-319-66766-9_4

J. Cuevas-Maraver, N. Boussaid, A. Comech, Ruomeng Lan, P. Kevrekidis, A. Saxena

引用次数: 23

Hamiltonian bifurcation perspective on two interacting vortex pairs: From symmetric to asymmetric leapfrogging, period doubling, and chaos 两个相互作用涡旋对的哈密顿分岔透视:从对称到非对称的跨越、周期加倍和混沌

arXiv: Pattern Formation and Solitons Pub Date : 2017-06-15 DOI: 10.1103/PhysRevFluids.3.014401

Brandon Whitchurch, P. Kevrekidis, V. Koukouloyannis

{"title":"Hamiltonian bifurcation perspective on two interacting vortex pairs: From symmetric to asymmetric leapfrogging, period doubling, and chaos","authors":"Brandon Whitchurch, P. Kevrekidis, V. Koukouloyannis","doi":"10.1103/PhysRevFluids.3.014401","DOIUrl":"https://doi.org/10.1103/PhysRevFluids.3.014401","url":null,"abstract":"In this work we study the dynamical behavior of two interacting vortex pairs, each one of them consisting of two point vortices with opposite circulation in the 2d plane. The vortices are considered as effective particles and their interaction can be desribed in classical mechanics terms. We first construct a Poincare section, for a typical value of the energy, in order to acquire a picture of the structure of the phase space of the system. We divide the phase space in different regions which correspond to qualitatively distinct motions and we demonstrate its different temporal evolution in the \"real\" vortex-space. Our main emphasis is on the leapfrogging periodic orbit, around which we identify a region that we term the \"leapfrogging envelope\" which involves mostly regular motions, such as higher order periodic and quasi-periodic solutions. We also identify the chaotic region of the phase plane surrounding the leapfrogging envelope as well as the so-called walkabout and braiding motions. Varying the energy as our control parameter, we construct a bifurcation tree of the main leapfrogging solution and its instabilities, as well as the instabilities of its daughter branches. We identify the symmetry-breaking instability of the leapfrogging solution (in line with earlier works), and also obtain the corresponding asymmetric branches of periodic solutions. We then characterize their own instabilities (including period doubling ones) and bifurcations in an effort to provide a more systematic perspective towards the types of motions available to this dynamical system.","PeriodicalId":154515,"journal":{"name":"arXiv: Pattern Formation and Solitons","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126128376","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 4

Stability of single and multiple matter-wave dark solitons in collisionally inhomogeneous Bose-Einstein condensates 碰撞非均匀玻色-爱因斯坦凝聚体中单波和多波暗孤子的稳定性

arXiv: Pattern Formation and Solitons Pub Date : 2017-03-18 DOI: 10.1142/S0217979217420139

P. Kevrekidis, R. Carretero-González, D. Frantzeskakis

引用次数: 7