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Breather mobility and the PN potential: Brief review and recent progress 呼吸活动性和PN潜能:简要回顾和最新进展
arXiv: Pattern Formation and Solitons Pub Date : 2014-12-02 DOI: 10.1007/978-3-319-21045-2_6
M. Johansson, P. J. D. O. Physics, Chemistry, Biology, L. University, Sweden.
{"title":"Breather mobility and the PN potential: Brief review and recent progress","authors":"M. Johansson, P. J. D. O. Physics, Chemistry, Biology, L. University, Sweden.","doi":"10.1007/978-3-319-21045-2_6","DOIUrl":"https://doi.org/10.1007/978-3-319-21045-2_6","url":null,"abstract":"","PeriodicalId":154515,"journal":{"name":"arXiv: Pattern Formation and Solitons","volume":"52 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-12-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115231060","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: 2
Oppositely Directional Coupler: Example of the Forward Backward Waves Interaction in the Metamaterials 反向耦合器:超材料中正反向波相互作用的例子
arXiv: Pattern Formation and Solitons Pub Date : 2014-09-27 DOI: 10.1007/978-94-017-7315-7_11
A. Maimistov, E. Kazantseva
{"title":"Oppositely Directional Coupler: Example of the Forward Backward Waves Interaction in the Metamaterials","authors":"A. Maimistov, E. Kazantseva","doi":"10.1007/978-94-017-7315-7_11","DOIUrl":"https://doi.org/10.1007/978-94-017-7315-7_11","url":null,"abstract":"","PeriodicalId":154515,"journal":{"name":"arXiv: Pattern Formation and Solitons","volume":"114 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124154173","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: 1
Numerical simulations of nonlinear modes in mica: past, present and future 云母中非线性模态的数值模拟:过去、现在和未来
arXiv: Pattern Formation and Solitons Pub Date : 2014-08-28 DOI: 10.1007/978-3-319-21045-2_2
J. Bajārs, J. Eilbeck, B. Leimkuhler
{"title":"Numerical simulations of nonlinear modes in mica: past, present and future","authors":"J. Bajārs, J. Eilbeck, B. Leimkuhler","doi":"10.1007/978-3-319-21045-2_2","DOIUrl":"https://doi.org/10.1007/978-3-319-21045-2_2","url":null,"abstract":"","PeriodicalId":154515,"journal":{"name":"arXiv: Pattern Formation and Solitons","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128933348","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: 16
Interacting nonlinear wave envelopes and rogue wave formation in deep water 相互作用的非线性波包线与深水异常波的形成
arXiv: Pattern Formation and Solitons Pub Date : 2014-07-18 DOI: 10.1063/1.4906770
M. Ablowitz, T. Horikis
{"title":"Interacting nonlinear wave envelopes and rogue wave formation in deep water","authors":"M. Ablowitz, T. Horikis","doi":"10.1063/1.4906770","DOIUrl":"https://doi.org/10.1063/1.4906770","url":null,"abstract":"A rogue wave formation mechanism is proposed within the framework of a coupled nonlinear Schrodinger (CNLS) system corresponding to the interaction of two waves propagating in oblique directions in deep water. A rogue condition is introduced that links the angle of interaction with the group velocities of these waves: different angles of interaction can result in a major enhancement of rogue events in both numbers and amplitude. For a range of interacting directions it is found that the CNLS system exhibits significantly more extreme wave amplitude events than its scalar counterpart. Furthermore, the rogue events of the coupled system are found to be well approximated by hyperbolic secant functions; they are vectorial soliton-type solutions of the CNLS system, typically not considered to be integrable. Overall, our results indicate that crossing states provide an important mechanism for the generation of rogue water wave events.","PeriodicalId":154515,"journal":{"name":"arXiv: Pattern Formation and Solitons","volume":"126 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123557920","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: 40
Coupled Ostrovsky equations for internal waves in a shear flow 剪切流中内波的耦合奥斯特洛夫斯基方程
arXiv: Pattern Formation and Solitons Pub Date : 2014-07-03 DOI: 10.1063/1.4903279
A. Alias, R. Grimshaw, K. Khusnutdinova
{"title":"Coupled Ostrovsky equations for internal waves in a shear flow","authors":"A. Alias, R. Grimshaw, K. Khusnutdinova","doi":"10.1063/1.4903279","DOIUrl":"https://doi.org/10.1063/1.4903279","url":null,"abstract":"In the context of fluid flows, the coupled Ostrovsky equations arise when two distinct linear long wave modes have nearly coincident phase speeds in the presence of background rotation. In this paper, nonlinear waves in a stratified fluid in the presence of shear flow are investigated both analytically, using techniques from asymptotic perturbation theory, and through numerical simulations. The dispersion relation of the system, based on a three-layer model of a stratified shear flow, reveals various dynamical behaviours, including the existence of unsteady and steady envelope wave packets.","PeriodicalId":154515,"journal":{"name":"arXiv: Pattern Formation and Solitons","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134407916","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: 34
Unusual synchronization phenomena during electrodissolution of silicon: the role of nonlinear global coupling 硅电溶过程中的异常同步现象:非线性全局耦合的作用
arXiv: Pattern Formation and Solitons Pub Date : 2014-05-02 DOI: 10.1142/9789814616133_0014
L. Schmidt, K. Schonleber, Vladimir Garc'ia-Morales, K. Krischer
{"title":"Unusual synchronization phenomena during electrodissolution of silicon: the role of nonlinear global coupling","authors":"L. Schmidt, K. Schonleber, Vladimir Garc'ia-Morales, K. Krischer","doi":"10.1142/9789814616133_0014","DOIUrl":"https://doi.org/10.1142/9789814616133_0014","url":null,"abstract":"The photoelectrodissolution of n-type silicon constitutes a convenient model system to study the nonlinear dynamics of oscillatory media. On the silicon surface, a silicon oxide layer forms. In the lateral direction, the thickness of this layer is not uniform. Rather, several spatio-temporal patterns in the oxide layer emerge spontaneously, ranging from cluster patterns and turbulence to quite peculiar dynamics like chimera states. Introducing a nonlinear global coupling in the complex Ginzburg-Landau equation allows us to identify this nonlinear coupling as the essential ingredient to describe the patterns found in the experiments. The nonlinear global coupling is designed in such a way, as to capture an important, experimentally observed feature: the spatially averaged oxide-layer thickness shows nearly harmonic oscillations. Simulations of the modified complex Ginzburg-Landau equation capture the experimental dynamics very well.","PeriodicalId":154515,"journal":{"name":"arXiv: Pattern Formation and Solitons","volume":"76 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122542186","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: 1
Dynamics of filaments of scroll waves 涡旋波细丝的动力学
arXiv: Pattern Formation and Solitons Pub Date : 2014-03-26 DOI: 10.1142/9789814616133_0013
V. Biktashev, I. Biktasheva
{"title":"Dynamics of filaments of scroll waves","authors":"V. Biktashev, I. Biktasheva","doi":"10.1142/9789814616133_0013","DOIUrl":"https://doi.org/10.1142/9789814616133_0013","url":null,"abstract":"This has been written as a chapter for \"Engineering Chemical Complexity II\", and as such does not have an abstract.","PeriodicalId":154515,"journal":{"name":"arXiv: Pattern Formation and Solitons","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128671502","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: 2
Control of chemical wave propagation 化学波传播控制
arXiv: Pattern Formation and Solitons Pub Date : 2014-03-13 DOI: 10.1142/9789814616133_0011
Jakob Lober, R. Coles, J. Siebert, H. Engel, E. Scholl
{"title":"Control of chemical wave propagation","authors":"Jakob Lober, R. Coles, J. Siebert, H. Engel, E. Scholl","doi":"10.1142/9789814616133_0011","DOIUrl":"https://doi.org/10.1142/9789814616133_0011","url":null,"abstract":"Using the Schl\"{o}gl model as a paradigmatic example of a bistable reaction-diffusion system, we discuss some physically feasible options of open and closed loop spatio-temporal control of chemical wave propagation.","PeriodicalId":154515,"journal":{"name":"arXiv: Pattern Formation and Solitons","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127741034","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: 16
A hidden life of Peregrine's soliton: rouge waves in the oceanic depths 游隼孤身一人的隐秘生活:海洋深处的胭脂波浪
arXiv: Pattern Formation and Solitons Pub Date : 2013-12-25 DOI: 10.1142/S0219887814500571
A. Yurova
{"title":"A hidden life of Peregrine's soliton: rouge waves in the oceanic depths","authors":"A. Yurova","doi":"10.1142/S0219887814500571","DOIUrl":"https://doi.org/10.1142/S0219887814500571","url":null,"abstract":"Although the Peregrine-type solutions of the nonlinear Sch\"odinger equation have long been associated mainly with the infamous \"rouge waves\" on the surface of the ocean, they might have a much more interesting role in the oceanic depths; in this article we show that these solutions play an important role in the evolution of the intrathermocline eddies, also known as the \"oceanic lenses\". In particular, we show that the collapse of a lens is determined by the particular generalization of the Peregrine soliton -- so called exultons -- of the nonlinear Schr\"odinger equation. In addition, we introduce a new mathematical method of construction of a vortical filament (a frontal zone of a lens) from a known one by the Darboux transformation.","PeriodicalId":154515,"journal":{"name":"arXiv: Pattern Formation and Solitons","volume":"199 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130403038","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: 3
Breather solutions of the discrete p-Schr"odinger equation 离散p-Schr odinger方程的呼吸解
arXiv: Pattern Formation and Solitons Pub Date : 2013-07-31 DOI: 10.1007/978-3-319-02057-0_4
G. James, Y. Starosvetsky
{"title":"Breather solutions of the discrete p-Schr\"odinger equation","authors":"G. James, Y. Starosvetsky","doi":"10.1007/978-3-319-02057-0_4","DOIUrl":"https://doi.org/10.1007/978-3-319-02057-0_4","url":null,"abstract":"","PeriodicalId":154515,"journal":{"name":"arXiv: Pattern Formation and Solitons","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126126887","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: 13
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