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  1. Article ; Online: Rogue waves and instability arising from long-wave-short-wave resonance beyond the integrable regime.

    Sun, Wen-Rong / Malomed, Boris A / Li, Jin-Hua

    Physical review. E

    2024  Volume 109, Issue 2-1, Page(s) 24209

    Abstract: We consider instability and localized patterns arising from the long-wave-short-wave resonance in the nonintegrable regime numerically. We study the stability and instability of elliptic-function periodic waves with respect to subharmonic perturbations, ... ...

    Abstract We consider instability and localized patterns arising from the long-wave-short-wave resonance in the nonintegrable regime numerically. We study the stability and instability of elliptic-function periodic waves with respect to subharmonic perturbations, whose period is a multiple of the period of the elliptic waves. We thus find the modulational instability (MI) of the corresponding dnoidal waves. Upon varying parameters of dnoidal waves, spectrally unstable ones can be transformed into stable states via the Hamiltonian Hopf bifurcation. For snoidal waves, we find a transition of the dominant instability scenario between the MI and the instability with a bubblelike spectrum. For cnoidal waves, we produce three variants of the MI. Evolution of the unstable states is also considered, leading to formation of rogue waves on top of the elliptic-wave and continuous-wave backgrounds.
    Language English
    Publishing date 2024-03-15
    Publishing country United States
    Document type Journal Article
    ZDB-ID 2844562-4
    ISSN 2470-0053 ; 2470-0045
    ISSN (online) 2470-0053
    ISSN 2470-0045
    DOI 10.1103/PhysRevE.109.024209
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  2. Article ; Online: Formation of Rogue Waves and Modulational Instability with Zero-Wavenumber Gain in Multicomponent Systems with Coherent Coupling.

    Liu, Lei / Sun, Wen-Rong / Malomed, Boris A

    Physical review letters

    2023  Volume 131, Issue 9, Page(s) 93801

    Abstract: It is known that rogue waves (RWs) are generated by the modulational instability (MI) of the baseband type. Starting with the Bers-Kaup-Reiman system for three-wave resonant interactions, we identify a specific RW-building mechanism based on MI which ... ...

    Abstract It is known that rogue waves (RWs) are generated by the modulational instability (MI) of the baseband type. Starting with the Bers-Kaup-Reiman system for three-wave resonant interactions, we identify a specific RW-building mechanism based on MI which includes zero wavenumber in the gain band. An essential finding is that this mechanism works solely under a linear relation between the MI gain and a vanishingly small wavenumber of the modulational perturbation. The same mechanism leads to the creation of RWs by MI in other multicomponent systems-in particular, in the massive Thirring model.
    Language English
    Publishing date 2023-09-18
    Publishing country United States
    Document type Journal Article
    ZDB-ID 208853-8
    ISSN 1079-7114 ; 0031-9007
    ISSN (online) 1079-7114
    ISSN 0031-9007
    DOI 10.1103/PhysRevLett.131.093801
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  3. Article ; Online: Periodic traveling waves in the ϕ^{4} model: Instability, stability, and localized structures.

    Liu, Meng-Meng / Sun, Wen-Rong / Liu, Lei / Kevrekidis, P G / Wang, Lei

    Physical review. E

    2023  Volume 107, Issue 3-1, Page(s) 34210

    Abstract: We consider the instability and stability of periodic stationary solutions to the classical ϕ^{4} equation numerically. In the superluminal regime, the model possesses dnoidal and cnoidal waves. The former are modulationally unstable and the spectrum ... ...

    Abstract We consider the instability and stability of periodic stationary solutions to the classical ϕ^{4} equation numerically. In the superluminal regime, the model possesses dnoidal and cnoidal waves. The former are modulationally unstable and the spectrum forms a figure eight intersecting at the origin of the spectral plane. The latter can be modulationally stable, and the spectrum near the origin in that case is represented by vertical bands along the purely imaginary axis. The instability of the cnoidal states in that case stems from elliptical bands of complex eigenvalues far from the spectral plane origin. In the subluminal regime, there exist only snoidal waves which are modulationally unstable. Considering the subharmonic perturbations, we show that the snoidal waves in the subluminal regime are spectrally unstable with respect to all subharmonic perturbations, while for the dnoidal and cnoidal waves in the superluminal regime, the transition between the spectrally stable state and the spectrally unstable state occurs through a Hamiltonian Hopf bifurcation. The dynamical evolution of the unstable states is also considered, leading to some interesting localization events on the spatio-temporal backgrounds.
    Language English
    Publishing date 2023-04-18
    Publishing country United States
    Document type Journal Article
    ZDB-ID 2844562-4
    ISSN 2470-0053 ; 2470-0045
    ISSN (online) 2470-0053
    ISSN 2470-0045
    DOI 10.1103/PhysRevE.107.034210
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  4. Article: Matter rogue waves for the three-component Gross-Pitaevskii equations in the spinor Bose-Einstein condensates.

    Sun, Wen-Rong / Wang, Lei

    Proceedings. Mathematical, physical, and engineering sciences

    2018  Volume 474, Issue 2209, Page(s) 20170276

    Abstract: To show the existence and properties of matter rogue waves in ... ...

    Abstract To show the existence and properties of matter rogue waves in an
    Language English
    Publishing date 2018-01-03
    Publishing country England
    Document type Journal Article
    ZDB-ID 209241-4
    ISSN 1471-2946 ; 1364-5021 ; 0962-8444 ; 0080-4630 ; 0950-1207
    ISSN (online) 1471-2946
    ISSN 1364-5021 ; 0962-8444 ; 0080-4630 ; 0950-1207
    DOI 10.1098/rspa.2017.0276
    Database MEDical Literature Analysis and Retrieval System OnLINE

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    In stock of ZB MED Bonn / Germany

    Z 46/95: Show issues

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  5. Article ; Online: Vector semirational rogue waves and modulation instability for the coupled higher-order nonlinear Schrödinger equations in the birefringent optical fibers.

    Sun, Wen-Rong / Liu, De-Yin / Xie, Xi-Yang

    Chaos (Woodbury, N.Y.)

    2017  Volume 27, Issue 4, Page(s) 43114

    Abstract: We report the existence and properties of vector breather and semirational rogue-wave solutions for the coupled higher-order nonlinear Schrödinger equations, which describe the propagation of ultrashort optical pulses in birefringent optical fibers. ... ...

    Abstract We report the existence and properties of vector breather and semirational rogue-wave solutions for the coupled higher-order nonlinear Schrödinger equations, which describe the propagation of ultrashort optical pulses in birefringent optical fibers. Analytic vector breather and semirational rogue-wave solutions are obtained with Darboux dressing transformation. We observe that the superposition of the dark and bright contributions in each of the two wave components can give rise to complicated breather and semirational rogue-wave dynamics. We show that the bright-dark type vector solitons (or breather-like vector solitons) with nonconstant speed interplay with Akhmediev breathers, Kuznetsov-Ma solitons, and rogue waves. By adjusting parameters, we note that the rogue wave and bright-dark soliton merge, generating the boomeron-type bright-dark solitons. We prove that the rogue wave can be excited in the baseband modulation instability regime. These results may provide evidence of the collision between the mixed ultrashort soliton and rogue wave.
    Language English
    Publishing date 2017-04
    Publishing country United States
    Document type Journal Article
    ZDB-ID 1472677-4
    ISSN 1089-7682 ; 1054-1500
    ISSN (online) 1089-7682
    ISSN 1054-1500
    DOI 10.1063/1.4981907
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  6. Article ; Online: Optical rogue waves associated with the negative coherent coupling in an isotropic medium.

    Sun, Wen-Rong / Tian, Bo / Jiang, Yan / Zhen, Hui-Ling

    Physical review. E, Statistical, nonlinear, and soft matter physics

    2015  Volume 91, Issue 2, Page(s) 23205

    Abstract: Optical rogue waves of the coupled nonlinear Schrödinger equations with negative coherent coupling, which describe the propagation of orthogonally polarized optical waves in an isotropic medium, are reported. We construct and discuss a family of the ... ...

    Abstract Optical rogue waves of the coupled nonlinear Schrödinger equations with negative coherent coupling, which describe the propagation of orthogonally polarized optical waves in an isotropic medium, are reported. We construct and discuss a family of the vector rogue-wave solutions, including the bright rogue waves, four-petaled rogue waves, and dark rogue waves. A bright rogue wave without a valley can split up, giving birth to two bright rogue waves, and an eye-shaped rogue wave can split up, giving birth to two dark rogue waves.
    Language English
    Publishing date 2015-02
    Publishing country United States
    Document type Journal Article
    ISSN 1550-2376
    ISSN (online) 1550-2376
    DOI 10.1103/PhysRevE.91.023205
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  7. Article ; Online: Early Prediction of Persistent Organ Failure by Serum Angiopoietin-2 in Patients with Acute Pancreatitis.

    Zhang, Yu-Ping / Liu, Chang / Ye, Lei / Yu, Na / Ye, Yuan-Ning / Sun, Wen-Rong / Wu, Lin / Wang, Fang-Yu

    Digestive diseases and sciences

    2016  Volume 61, Issue 12, Page(s) 3584–3591

    Abstract: Background: Biomarkers for the early prediction of the severity of acute pancreatitis (AP) are urgently needed for clinical management of the disease. Angiopoietin-2 (Ang-2), one of the autocrine peptides that reduce endothelial permeability, has been ... ...

    Abstract Background: Biomarkers for the early prediction of the severity of acute pancreatitis (AP) are urgently needed for clinical management of the disease. Angiopoietin-2 (Ang-2), one of the autocrine peptides that reduce endothelial permeability, has been found to be associated with various diseases, including inflammatory disorders.
    Aims: This study aimed to determine whether serum Ang-2 could serve as a noninvasive biomarker for the early prediction of persistent organ failure (POF) in acute pancreatitis.
    Methods: A total of 120 AP patients were prospectively enrolled at Jinling Hospital. Serum samples were collected on admission. Clinical and laboratory data were recorded. Ang-2 levels were measured by enzyme-linked immunosorbent assay.
    Results: A total of 37 patients developed POF and were classified as having severe AP (SAP). Ang-2 was significantly higher on admission in patients who developed POF than in those who did not (p < 0.001 for all). Furthermore, receiver operating characteristic (ROC) curve analysis revealed that Ang-2 could distinguish patients who developed POF from mild AP (MAP, area under ROC curve [AUC] = 0.88, 95 % CI 0.78-0.94) and moderately severe AP patients (MSAP, AUC = 0.74, 95 % CI 0.63-0.83). In addition, multivariate logistic regression showed that increased Ang-2 was an independent predictor of developing POF between subgroups with MSAP and SAP (OR 7.2, 95 % CI 2.7-19.4) and among all AP patients (OR 12.1, 95 % CI 4.8-30.3).
    Conclusions: Elevated serum Ang-2 levels on admission may be a promising biomarker for the prediction of POF in AP.
    MeSH term(s) APACHE ; Acute Disease ; Adult ; Angiopoietin-2/blood ; Biomarkers/blood ; C-Reactive Protein/metabolism ; Cardiovascular Diseases/blood ; Cardiovascular Diseases/epidemiology ; Cohort Studies ; Enzyme-Linked Immunosorbent Assay ; Female ; Gallstones/complications ; Humans ; Hyperlipidemias/complications ; Logistic Models ; Male ; Middle Aged ; Multiple Organ Failure/blood ; Multiple Organ Failure/epidemiology ; Multivariate Analysis ; Pancreatitis/blood ; Pancreatitis/epidemiology ; Pancreatitis/etiology ; Pancreatitis, Alcoholic/blood ; Pancreatitis, Alcoholic/epidemiology ; Prognosis ; Prospective Studies ; ROC Curve ; Renal Insufficiency/blood ; Renal Insufficiency/epidemiology ; Respiratory Insufficiency/blood ; Respiratory Insufficiency/epidemiology ; Severity of Illness Index
    Chemical Substances ANGPT2 protein, human ; Angiopoietin-2 ; Biomarkers ; C-Reactive Protein (9007-41-4)
    Language English
    Publishing date 2016-12
    Publishing country United States
    Document type Journal Article
    ZDB-ID 304250-9
    ISSN 1573-2568 ; 0163-2116
    ISSN (online) 1573-2568
    ISSN 0163-2116
    DOI 10.1007/s10620-016-4323-y
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