Physica D: Nonlinear Phenomena最新文献_第7页

Relativistic effects in the dynamics of a particle in a Coulomb field

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-02-01 DOI: 10.1016/j.physd.2025.134534

Rafael Ortega , David Rojas

引用次数: 0

Dynamics of nonlinear waves in a low-pass reaction diffusion electrical network and some exact and implicit Modulated compact solutions

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-02-01 DOI: 10.1016/j.physd.2025.134532

William Kamgaing Mabou , Désiré Ndjanfang , Nkeh Oma Nfor , Muluh Fombu Andrew , Fabien Kenmogne , Hatou-Yvelin Donkeng , David Yemélé

{"title":"Dynamics of nonlinear waves in a low-pass reaction diffusion electrical network and some exact and implicit Modulated compact solutions","authors":"William Kamgaing Mabou , Désiré Ndjanfang , Nkeh Oma Nfor , Muluh Fombu Andrew , Fabien Kenmogne , Hatou-Yvelin Donkeng , David Yemélé","doi":"10.1016/j.physd.2025.134532","DOIUrl":"10.1016/j.physd.2025.134532","url":null,"abstract":"<div><div>In this paper, we analytically investigate the dynamic behavior of the extended nonlinear Schrödinger (ENLS) equation. This equation describes the propagation of the modulated waves in the network characterized by the nonlinear resistance (NLR) by using the rotative waves approximation. Based on the theory of singular systems and investigating the dynamical behavior of the network, we obtain bifurcations of the phase portraits of the system under different parameter conditions. The result of this qualitative investigation indicates the existence of the nonlinear localized waves with linear phase shift, such as bright pulses, peak pulses, dark pulses, compact dark and compact pulses solitary waves. These nonlinear localized waves can be used in signal processing, electronic devices, and ultra-fast metrology. We derive possible exact explicit and implicit solutions propagating in the nonlinear low-pass electrical transmission line with nonlinear dispersion depending on the frequency range of the chosen carrier wave, for physically realistic parameters.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"472 ","pages":"Article 134532"},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143163343","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Hamiltonian Lorenz-like models

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-02-01 DOI: 10.1016/j.physd.2024.134494

Francesco Fedele , Cristel Chandre , Martin Horvat , Nedjeljka Žagar

{"title":"Hamiltonian Lorenz-like models","authors":"Francesco Fedele , Cristel Chandre , Martin Horvat , Nedjeljka Žagar","doi":"10.1016/j.physd.2024.134494","DOIUrl":"10.1016/j.physd.2024.134494","url":null,"abstract":"<div><div>The reduced-complexity models developed by Edward Lorenz are widely used in atmospheric and climate sciences to study nonlinear aspect of dynamics and to demonstrate new methods for numerical weather prediction. A set of inviscid Lorenz models describing the dynamics of a single variable in a zonally-periodic domain, without dissipation and forcing, conserve energy but are not Hamiltonian. In this paper, we start from a general continuous parent fluid model, from which we derive a family of Hamiltonian Lorenz-like models through a symplectic discretization of the associated Poisson bracket, which preserves the Jacobi identity. A symplectic-split integrator is also formulated. These Hamiltonian models conserve energy and maintain the nearest-neighbor couplings inherent in the original Lorenz model. As a corollary, we find that the Lorenz-96 model can be seen as a result of a poor discretization of a Poisson fluid bracket. Hamiltonian Lorenz-like models offer promising alternatives to the original Lorenz models, especially for the qualitative representation of non-Gaussian weather extremes and wave interactions, which underscore many phenomena of the climate system.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"472 ","pages":"Article 134494"},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143162854","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Stable patterns with jump-discontinuity for a phytoplankton–zooplankton system with both Allee and fear effect

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-02-01 DOI: 10.1016/j.physd.2024.134481

Conghui Zhang , Jin Lu , Maoxing Liu , Hanzhi Zhang

{"title":"Stable patterns with jump-discontinuity for a phytoplankton–zooplankton system with both Allee and fear effect","authors":"Conghui Zhang , Jin Lu , Maoxing Liu , Hanzhi Zhang","doi":"10.1016/j.physd.2024.134481","DOIUrl":"10.1016/j.physd.2024.134481","url":null,"abstract":"<div><div>This paper is concerned with a phytoplankton–zooplankton system with both Allee and fear effect, in which zooplankton species diffuse but phytoplankton species do not diffuse. We show that this system may lead to a novel pattern formation phenomenon, i.e., far-from-the equilibrium patterns with jump discontinuity. Moreover, the <span><math><msup><mrow><mi>L</mi></mrow><mrow><mi>∞</mi></mrow></msup></math></span>-stability of these discontinuous stationary solutions are demonstrated under appropriate conditions. In addition, we explore how diffusion, Allee and fear effect affect the system. Our results illustrate that (i) if both species diffuse, then the origin and the positive equilibrium are stable. Furthermore, no discontinuous stationary solutions exist; (ii) in the absence of Allee effect, the phenomenon of bistability disappears and only the positive equilibrium is stable. Besides, any discontinuous stationary solutions may be unstable; (iii) when excluding fear effects from the system, the density of zooplankton will be changed, more precisely, as fear costs increase, zooplankton population density declines. Finally, a series of numerical simulations are presented to verified the theoretical results</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"472 ","pages":"Article 134481"},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143162923","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Material coordinate driven time-space scaled models for anomalous water absorption in swelling soils

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-02-01 DOI: 10.1016/j.physd.2024.134472

Peibo Tian , Yingjie Liang , Ninghu Su

引用次数: 0

SU(2)-Hidden symmetry of two-level media: Propagation of higher-order ultimately short-wave excitations with nonzero angular momenta

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-02-01 DOI: 10.1016/j.physd.2025.134539

Romuald K.K. Lemoula , Victor K. Kuetche

{"title":"SU(2)-Hidden symmetry of two-level media: Propagation of higher-order ultimately short-wave excitations with nonzero angular momenta","authors":"Romuald K.K. Lemoula , Victor K. Kuetche","doi":"10.1016/j.physd.2025.134539","DOIUrl":"10.1016/j.physd.2025.134539","url":null,"abstract":"<div><div>Following the SU(2)-symmetry analysis, we perform a more detailed investigation of interaction of ultimately short-wave optical solitons with the two-level media within the viewpoint of propagation of higher-order waveguide excitations with nonzero angular momenta. As a result, we derive a new partial differential evolution model system expressed within the Hilbert space while describing the propagation of circularly polarized optical waveguide excitations. Accordingly, we solve the previous Hamiltonian system and address the expression of the one-soliton solution. We hence depict its spectrum which shows the distribution of the wave-frequency for circular polarization with a pulse-profile. Besides, investigating the variations of the electric field of the medium with respect to the population inversion integral, we discuss some typical features which profiles strongly depend upon the wave-frequency of the carrier. Accordingly, we pay particular interests to the ultimately short waveguide excitations while studying their interactions through the two-wave and three-wave depictions, and their shifts characterizing their nonlinear and rotating scattering features. As a result, we find that such features actually represent the elastic interactions between individual wave structures with the soliton properties arising from the interplay between the nonlinearity and the dispersion. We address some physical implications of the results obtained previously.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"472 ","pages":"Article 134539"},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143162925","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

On tautological flows of partial difference equations

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-02-01 DOI: 10.1016/j.physd.2025.134533

Zhonglun Cao, Si-Qi Liu, Youjin Zhang

引用次数: 0

Modeling the impacts of chemical substances and time delay to mitigate regional atmospheric pollutants and enhance rainfall

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-02-01 DOI: 10.1016/j.physd.2024.134507

Gauri Agrawal , Alok Kumar Agrawal , A.K. Misra

{"title":"Modeling the impacts of chemical substances and time delay to mitigate regional atmospheric pollutants and enhance rainfall","authors":"Gauri Agrawal , Alok Kumar Agrawal , A.K. Misra","doi":"10.1016/j.physd.2024.134507","DOIUrl":"10.1016/j.physd.2024.134507","url":null,"abstract":"<div><div>Rainfall, a crucial process of the hydrological cycle, involves the condensation of atmospheric cloud droplets into raindrops that fall on the Earth’s surface, providing essentials for human well-being and ecosystem. Research studies show that the condensation–nucleation process for forming raindrops is reduced due to atmospheric pollutants. In this scenario, introducing chemical substances may effectively mitigate regional atmospheric pollution, and reduced atmospheric pollution may lead to adequate rainfall. In the present research work, we analyze rainfall dynamics using a modeling approach with the incorporation of a time lag involved between measuring the data for atmospheric pollution and introducing chemical substances in the regional atmosphere. Here, we assume the formation rate of cloud droplets as a decreasing function of atmospheric pollutants. It is also assumed that introducing chemical substances reduces regional atmospheric pollution. Involving time delay as a bifurcation parameter, we analyze the stability, direction, and period of the bifurcating periodic solutions arising through Hopf bifurcation. Along with this, the presented numerical simulations corroborate the analytical results of our mathematical model. The modeling study reveals that the use of chemical substances in proportion to the concentration of atmospheric pollutants measured at time (<span><math><mrow><mi>t</mi><mo>−</mo><mi>τ</mi></mrow></math></span>) becomes crucial to mitigate the atmospheric pollutants because as time delay exceeds a threshold value, the system loses its stability and undergoes Hopf bifurcation.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"472 ","pages":"Article 134507"},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143163175","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Generalized and new solutions of the NRT nonlinear Schrödinger equation

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-02-01 DOI: 10.1016/j.physd.2024.134515

P.R. Gordoa, A. Pickering, D. Puertas-Centeno, E.V. Toranzo

引用次数: 0

Breathers and mixed oscillatory states near a Turing–Hopf instability in a two–component reaction–diffusion system

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-02-01 DOI: 10.1016/j.physd.2024.134482

Fahad Al Saadi , Edgar Knobloch , Alexander Meiners , Hannes Uecker

{"title":"Breathers and mixed oscillatory states near a Turing–Hopf instability in a two–component reaction–diffusion system","authors":"Fahad Al Saadi , Edgar Knobloch , Alexander Meiners , Hannes Uecker","doi":"10.1016/j.physd.2024.134482","DOIUrl":"10.1016/j.physd.2024.134482","url":null,"abstract":"<div><div>Numerical continuation is used to study the interaction between a finite wave number Turing instability and a zero wave number Hopf instability in a two-species reaction-diffusion model of a semiconductor device. The model admits two such codimension-two interactions, both with a subcritical Turing branch that is responsible for the presence of spatially localized Turing states. The Hopf branch may also be subcritical. We uncover a large variety of spatially extended and spatially localized states in the vicinity of these points and by varying a third parameter show how disconnected branches of time-periodic spatially localized states can be “zipped up” into snaking branches of time-periodic oscillations. These are of two types: a Turing state embedded in an oscillating background, and a breathing Turing state embedded in a non-oscillating background. Stable two-frequency states resembling a mixture of these two states are also identified. Our results are complemented by direct numerical simulations. The findings explain the origin of the large multiplicity of localized steady and oscillatory patterns arising from the Turing–Hopf interaction and shed light on the competition between them.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"472 ","pages":"Article 134482"},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143162929","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0