Sun, Wen-Rong; Li, Jin-Hua; Liu, Lei; Kevrekidis, P. G. The instabilities beyond modulational type in a repulsive Bose-Einstein condensate with a periodic potential. (English) Zbl 07808492 Physica D 458, Article ID 134009, 8 p. (2024). MSC: 81Q80 PDFBibTeX XMLCite \textit{W.-R. Sun} et al., Physica D 458, Article ID 134009, 8 p. (2024; Zbl 07808492) Full Text: DOI arXiv
Tran, Minh C.; Doan, Anh T.; Nguyen, Thau X.; Tran, Truong X. 2D Jackiw-Rebbi and trivial localized states in square interfaced binary waveguide lattices. (English) Zbl 07736384 Physica D 454, Article ID 133854, 11 p. (2023). MSC: 78-XX 82-XX PDFBibTeX XMLCite \textit{M. C. Tran} et al., Physica D 454, Article ID 133854, 11 p. (2023; Zbl 07736384) Full Text: DOI
Pu, Juncai; Chen, Yong Complex dynamics on the one-dimensional quantum droplets via time piecewise PINNs. (English) Zbl 07736381 Physica D 454, Article ID 133851, 14 p. (2023). MSC: 68-XX 92-XX PDFBibTeX XMLCite \textit{J. Pu} and \textit{Y. Chen}, Physica D 454, Article ID 133851, 14 p. (2023; Zbl 07736381) Full Text: DOI arXiv
Montani, Giovanni; Carlevaro, Nakia On the 3D turbulence regime in a tokamak plasma edge. (English) Zbl 1516.76105 Physica D 451, Article ID 133774, 7 p. (2023). MSC: 76X05 76F99 PDFBibTeX XMLCite \textit{G. Montani} and \textit{N. Carlevaro}, Physica D 451, Article ID 133774, 7 p. (2023; Zbl 1516.76105) Full Text: DOI arXiv
Song, Jin; Yan, Zhenya Deep learning soliton dynamics and complex potentials recognition for 1D and 2D \(\mathcal{PT}\)-symmetric saturable nonlinear Schrödinger equations. (English) Zbl 07683358 Physica D 448, Article ID 133729, 21 p. (2023). MSC: 68T07 68T05 35C08 68T10 35Q55 PDFBibTeX XMLCite \textit{J. Song} and \textit{Z. Yan}, Physica D 448, Article ID 133729, 21 p. (2023; Zbl 07683358) Full Text: DOI
Newell, Alan C.; Venkataramani, Shankar C. The universal behavior of modulated stripe patterns. (English) Zbl 07677932 Physica D 447, Article ID 133688, 15 p. (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{A. C. Newell} and \textit{S. C. Venkataramani}, Physica D 447, Article ID 133688, 15 p. (2023; Zbl 07677932) Full Text: DOI
Yoshimura, Kazuyuki; Kato, Go; Doi, Yusuke A symmetry of potential function and non-relaxation theorems of heat flux in nonlinear lattice. (English) Zbl 07660936 Physica D 446, Article ID 133638, 15 p. (2023). MSC: 82-XX 81-XX PDFBibTeX XMLCite \textit{K. Yoshimura} et al., Physica D 446, Article ID 133638, 15 p. (2023; Zbl 07660936) Full Text: DOI
Chapman, S. J.; Kavousanakis, M.; Charalampidis, E. G.; Kevrekidis, I. G.; Kevrekidis, P. G. A spectral analysis of the nonlinear Schrödinger equation in the co-exploding frame. (English) Zbl 1497.35428 Physica D 439, Article ID 133396, 27 p. (2022). MSC: 35Q55 35B44 35C06 35C08 35B35 35B36 35B40 35B05 35P15 65N25 65N06 65L06 PDFBibTeX XMLCite \textit{S. J. Chapman} et al., Physica D 439, Article ID 133396, 27 p. (2022; Zbl 1497.35428) Full Text: DOI arXiv
Paredes, Angel; Salgueiro, José R.; Michinel, Humberto On vortex and dark solitons in the cubic-quintic nonlinear Schrödinger equation. (English) Zbl 1492.35091 Physica D 437, Article ID 133340, 9 p. (2022). MSC: 35C08 35P30 35Q55 PDFBibTeX XMLCite \textit{A. Paredes} et al., Physica D 437, Article ID 133340, 9 p. (2022; Zbl 1492.35091) Full Text: DOI
Weng, Weifang; Zhang, Guoqiang; Zhang, Minghe; Zhou, Zijian; Yan, Zhenya Semi-rational vector rogon-soliton solutions and asymptotic analysis for any \(n\)-component nonlinear Schrödinger equation with mixed boundary conditions. (English) Zbl 1490.35459 Physica D 432, Article ID 133150, 15 p. (2022). MSC: 35Q55 35Q41 35C08 35B40 37K35 PDFBibTeX XMLCite \textit{W. Weng} et al., Physica D 432, Article ID 133150, 15 p. (2022; Zbl 1490.35459) Full Text: DOI
Rubio, M. E.; Stasyszyn, F. A. Ill-posedness of the mean-field dynamo equations with a linear electromotive force. (English) Zbl 1483.76069 Physica D 430, Article ID 133097, 9 p. (2022). MSC: 76W05 35Q35 35Q60 85A30 PDFBibTeX XMLCite \textit{M. E. Rubio} and \textit{F. A. Stasyszyn}, Physica D 430, Article ID 133097, 9 p. (2022; Zbl 1483.76069) Full Text: DOI arXiv
Livescu, D.; Wei, T.; Brady, P. T. Rayleigh-Taylor instability with gravity reversal. (English) Zbl 1485.76045 Physica D 417, Article ID 132832, 18 p. (2021). MSC: 76E17 76F25 76F65 76M20 PDFBibTeX XMLCite \textit{D. Livescu} et al., Physica D 417, Article ID 132832, 18 p. (2021; Zbl 1485.76045) Full Text: DOI
Zhou, Ye; Williams, Robin J. R.; Ramaprabhu, Praveen; Groom, Michael; Thornber, Ben; Hillier, Andrew; Mostert, Wouter; Rollin, Bertrand; Balachandar, S.; Powell, Phillip D.; Mahalov, Alex; Attal, N. Rayleigh-Taylor and Richtmyer-Meshkov instabilities: a journey through scales. (English) Zbl 1491.76030 Physica D 423, Article ID 132838, 86 p. (2021). MSC: 76E17 76E25 76E20 76F25 76-02 PDFBibTeX XMLCite \textit{Y. Zhou} et al., Physica D 423, Article ID 132838, 86 p. (2021; Zbl 1491.76030) Full Text: DOI
Franco, Francis F.; Rempel, Erico L.; Muñoz, Pablo R. Crisis and hyperchaos in a simplified model of magnetoconvection. (English) Zbl 1490.76234 Physica D 406, Article ID 132417, 9 p. (2020). MSC: 76W05 85A30 PDFBibTeX XMLCite \textit{F. F. Franco} et al., Physica D 406, Article ID 132417, 9 p. (2020; Zbl 1490.76234) Full Text: DOI
Angulo Pava, Jaime; Goloshchapova, Nataliia Stability properties of standing waves for NLS equations with the \(\delta^\prime\)-interaction. (English) Zbl 1490.35389 Physica D 403, Article ID 132332, 24 p. (2020). MSC: 35Q55 35B20 35B35 37B30 81Q10 PDFBibTeX XMLCite \textit{J. Angulo Pava} and \textit{N. Goloshchapova}, Physica D 403, Article ID 132332, 24 p. (2020; Zbl 1490.35389) Full Text: DOI
Heider, David T.; van Hemmen, J. Leo Geometric perturbation theory and acoustic boundary condition dynamics. (English) Zbl 1484.35280 Physica D 405, Article ID 132364, 15 p. (2020). MSC: 35L20 35B20 PDFBibTeX XMLCite \textit{D. T. Heider} and \textit{J. L. van Hemmen}, Physica D 405, Article ID 132364, 15 p. (2020; Zbl 1484.35280) Full Text: DOI arXiv
Alfimov, G. L.; Fedotov, A. P.; Sinelshchikov, D. I. Determination of the blow up point for complex nonautonomous ODE with cubic nonlinearity. (English) Zbl 1453.34050 Physica D 402, Article ID 132245, 8 p. (2020). MSC: 34C11 34D05 PDFBibTeX XMLCite \textit{G. L. Alfimov} et al., Physica D 402, Article ID 132245, 8 p. (2020; Zbl 1453.34050) Full Text: DOI
Bao, Weizhu; Cai, Yongyong; Ruan, Xinran Ground states of Bose-Einstein condensates with higher order interaction. (English) Zbl 1415.82007 Physica D 386-387, 38-48 (2019). MSC: 82C10 81Q05 35B30 PDFBibTeX XMLCite \textit{W. Bao} et al., Physica D 386--387, 38--48 (2019; Zbl 1415.82007) Full Text: DOI arXiv
Goodman, Roy H. Bifurcations of relative periodic orbits in NLS/GP with a triple-well potential. (English) Zbl 1378.35277 Physica D 359, 39-59 (2017). MSC: 35Q55 37J45 37J25 PDFBibTeX XMLCite \textit{R. H. Goodman}, Physica D 359, 39--59 (2017; Zbl 1378.35277) Full Text: DOI arXiv
Guo, Yangyu; Jou, David; Wang, Moran Macroscopic heat transport equations and heat waves in nonequilibrium states. (English) Zbl 1378.35304 Physica D 342, 24-31 (2017). MSC: 35Q79 82D80 PDFBibTeX XMLCite \textit{Y. Guo} et al., Physica D 342, 24--31 (2017; Zbl 1378.35304) Full Text: DOI
Kirkpatrick, Kay; Zhang, Yanzhi Fractional Schrödinger dynamics and decoherence. (English) Zbl 1415.65235 Physica D 332, 41-54 (2016). MSC: 65M70 35Q41 35Q55 35R11 81S22 PDFBibTeX XMLCite \textit{K. Kirkpatrick} and \textit{Y. Zhang}, Physica D 332, 41--54 (2016; Zbl 1415.65235) Full Text: DOI
Kizin, P. P.; Zezyulin, D. A.; Alfimov, G. L. Oscillatory instabilities of gap solitons in a repulsive Bose-Einstein condensate. (English) Zbl 1376.35091 Physica D 337, 58-66 (2016). MSC: 35Q40 35B35 81V70 PDFBibTeX XMLCite \textit{P. P. Kizin} et al., Physica D 337, 58--66 (2016; Zbl 1376.35091) Full Text: DOI arXiv
Winkler, Benjamin; Aranson, Igor S.; Ziebert, Falko Membrane tension feedback on shape and motility of eukaryotic cells. (English) Zbl 1373.92025 Physica D 318-319, 26-33 (2016). MSC: 92C17 92C10 PDFBibTeX XMLCite \textit{B. Winkler} et al., Physica D 318--319, 26--33 (2016; Zbl 1373.92025) Full Text: DOI arXiv
Carretero-González, R.; Kevrekidis, P. G.; Kolokolnikov, T. Vortex nucleation in a dissipative variant of the nonlinear Schrödinger equation under rotation. (English) Zbl 1364.35326 Physica D 317, 1-14 (2016). MSC: 35Q55 35B40 35B20 PDFBibTeX XMLCite \textit{R. Carretero-González} et al., Physica D 317, 1--14 (2016; Zbl 1364.35326) Full Text: DOI arXiv
Chertovskih, R.; Zheligovsky, V. Large-scale weakly nonlinear perturbations of convective magnetic dynamos in a rotating layer. (English) Zbl 1364.76236 Physica D 313, 99-116 (2015). MSC: 76W05 76M22 PDFBibTeX XMLCite \textit{R. Chertovskih} and \textit{V. Zheligovsky}, Physica D 313, 99--116 (2015; Zbl 1364.76236) Full Text: DOI arXiv
Wu, Jian; Traoré, Philippe; Pérez, Alberto T.; Zhang, Mengqi Numerical analysis of the subcritical feature of electro-thermo-convection in a plane layer of dielectric liquid. (English) Zbl 1364.76241 Physica D 311-312, 45-57 (2015). MSC: 76W05 76M12 76E06 PDFBibTeX XMLCite \textit{J. Wu} et al., Physica D 311--312, 45--57 (2015; Zbl 1364.76241) Full Text: DOI
Grines, V.; Medvedev, T.; Pochinka, O.; Zhuzhoma, E. On heteroclinic separators of magnetic fields in electrically conducting fluids. (English) Zbl 1364.76238 Physica D 294, 1-5 (2015). MSC: 76W05 37N10 37C29 PDFBibTeX XMLCite \textit{V. Grines} et al., Physica D 294, 1--5 (2015; Zbl 1364.76238) Full Text: DOI arXiv
Larecki, Wieslaw; Banach, Zbigniew Influence of nonlinearity of the phonon dispersion relation on wave velocities in the four-moment maximum entropy phonon hydrodynamics. (English) Zbl 1291.82121 Physica D 266, 65-79 (2014). MSC: 82D20 74J30 76Q05 PDFBibTeX XMLCite \textit{W. Larecki} and \textit{Z. Banach}, Physica D 266, 65--79 (2014; Zbl 1291.82121) Full Text: DOI
Alfimov, G. L.; Avramenko, A. I. Coding of nonlinear states for the Gross-Pitaevskii equation with periodic potential. (English) Zbl 1284.35389 Physica D 254, 29-45 (2013). MSC: 35Q55 PDFBibTeX XMLCite \textit{G. L. Alfimov} and \textit{A. I. Avramenko}, Physica D 254, 29--45 (2013; Zbl 1284.35389) Full Text: DOI arXiv
Yang, Jianke Stability analysis for pitchfork bifurcations of solitary waves in generalized nonlinear Schrödinger equations. (English) Zbl 1282.35362 Physica D 244, No. 1, 50-67 (2013). MSC: 35Q55 35B35 35B32 35C08 PDFBibTeX XMLCite \textit{J. Yang}, Physica D 244, No. 1, 50--67 (2013; Zbl 1282.35362) Full Text: DOI arXiv
Sacchetti, Andrea Nonlinear Schrödinger equations with multiple-well potential. (English) Zbl 1253.35164 Physica D 241, No. 21, 1815-1824 (2012). MSC: 35Q55 35B20 81Q05 PDFBibTeX XMLCite \textit{A. Sacchetti}, Physica D 241, No. 21, 1815--1824 (2012; Zbl 1253.35164) Full Text: DOI arXiv
El, G. A.; Khodorovskii, V. V.; Leszczyszyn, A. M. Refraction of dispersive shock waves. (English) Zbl 1458.76087 Physica D 241, No. 18, 1567-1587 (2012). MSC: 76N30 76L05 35Q55 PDFBibTeX XMLCite \textit{G. A. El} et al., Physica D 241, No. 18, 1567--1587 (2012; Zbl 1458.76087) Full Text: DOI arXiv Link
Materassi, Massimo; Tassi, Emanuele Metriplectic framework for dissipative magneto-hydrodynamics. (English) Zbl 1331.76131 Physica D 241, No. 6, 729-734 (2012). MSC: 76W05 PDFBibTeX XMLCite \textit{M. Materassi} and \textit{E. Tassi}, Physica D 241, No. 6, 729--734 (2012; Zbl 1331.76131) Full Text: DOI arXiv
Proment, Davide; Onorato, Miguel; Asinari, Pietro; Nazarenko, Sergey Warm cascade states in a forced-dissipated Boltzmann gas of hard spheres. (English) Zbl 1387.82046 Physica D 241, No. 5, 600-615 (2012). MSC: 82C40 76P05 35Q20 PDFBibTeX XMLCite \textit{D. Proment} et al., Physica D 241, No. 5, 600--615 (2012; Zbl 1387.82046) Full Text: DOI arXiv
Llewellyn Smith, Stefan G. How do singularities move in potential flow? (English) Zbl 1343.76007 Physica D 240, No. 20, 1644-1651 (2011). MSC: 76B47 PDFBibTeX XMLCite \textit{S. G. Llewellyn Smith}, Physica D 240, No. 20, 1644--1651 (2011; Zbl 1343.76007) Full Text: DOI Link
Chrispell, J. C.; Cortez, R.; Khismatullin, D. B.; Fauci, L. J. Shape oscillations of a droplet in an Oldroyd-B fluid. (English) Zbl 1375.76018 Physica D 240, No. 20, 1593-1601 (2011). MSC: 76A10 76M25 74F10 PDFBibTeX XMLCite \textit{J. C. Chrispell} et al., Physica D 240, No. 20, 1593--1601 (2011; Zbl 1375.76018) Full Text: DOI
Wang, C.; Kevrekidis, P. G.; Frantzeskakis, D. J.; Malomed, B. A. Effects of long-range nonlinear interactions in double-well potentials. (English) Zbl 1338.37129 Physica D 240, No. 9-10, 805-813 (2011). MSC: 37N20 37K50 78A60 35Q55 82B10 37M05 PDFBibTeX XMLCite \textit{C. Wang} et al., Physica D 240, No. 9--10, 805--813 (2011; Zbl 1338.37129) Full Text: DOI arXiv
Dror, Nir; Malomed, Boris A. Symmetric and asymmetric solitons and vortices in linearly coupled two-dimensional waveguides with the cubic-quintic nonlinearity. (English) Zbl 1220.37066 Physica D 240, No. 6, 526-541 (2011). Reviewer: Dmitry Pelinovsky (Hamilton) MSC: 37K40 37K45 35Q55 PDFBibTeX XMLCite \textit{N. Dror} and \textit{B. A. Malomed}, Physica D 240, No. 6, 526--541 (2011; Zbl 1220.37066) Full Text: DOI arXiv
Ma, Y.-P.; Spiegel, E. A. A diagrammatic derivation of (convective) pattern equations. (English) Zbl 1372.76097 Physica D 240, No. 2, 150-165 (2011). MSC: 76R10 76E06 35B36 35K57 37N10 PDFBibTeX XMLCite \textit{Y. P. Ma} and \textit{E. A. Spiegel}, Physica D 240, No. 2, 150--165 (2011; Zbl 1372.76097) Full Text: DOI
Kuo, Yueh-Cheng; Lin, Wen-Wei; Shieh, Shih-Feng; Wang, Weichung Exploring bistability in rotating Bose-Einstein condensates by a quotient transformation invariant continuation method. (English) Zbl 1210.35234 Physica D 240, No. 1, 78-88 (2011). Reviewer: Bassano Vacchini (Milano) MSC: 35Q55 82-08 82C10 PDFBibTeX XMLCite \textit{Y.-C. Kuo} et al., Physica D 240, No. 1, 78--88 (2011; Zbl 1210.35234) Full Text: DOI
Blawzdziewicz, J.; Goodman, R. H.; Khurana, N.; Wajnryb, E.; Young, Y.-N. Nonlinear hydrodynamic phenomena in Stokes flow regime. (English) Zbl 1193.37111 Physica D 239, No. 14, 1214-1224 (2010). MSC: 37N10 76D07 37D45 76T30 37M05 PDFBibTeX XMLCite \textit{J. Blawzdziewicz} et al., Physica D 239, No. 14, 1214--1224 (2010; Zbl 1193.37111) Full Text: DOI
Chertovskih, R.; Gama, S. M. A.; Podvigina, O.; Zheligovsky, V. Dependence of magnetic field generation by thermal convection on the rotation rate: a case study. (English) Zbl 1248.76152 Physica D 239, No. 13, 1188-1209 (2010). MSC: 76W05 76E06 76E25 76U05 85A30 86A25 PDFBibTeX XMLCite \textit{R. Chertovskih} et al., Physica D 239, No. 13, 1188--1209 (2010; Zbl 1248.76152) Full Text: DOI arXiv
Pla, F.; Herrero, H.; Lafitte, O. Theoretical and numerical study of a thermal convection problem with temperature-dependent viscosity in an infinite layer. (English) Zbl 1189.37094 Physica D 239, No. 13, 1108-1119 (2010). MSC: 37N10 76E06 PDFBibTeX XMLCite \textit{F. Pla} et al., Physica D 239, No. 13, 1108--1119 (2010; Zbl 1189.37094) Full Text: DOI
Sango, Mamadou Magnetohydrodynamic turbulent flows: existence results. (English) Zbl 1193.76162 Physica D 239, No. 12, 912-923 (2010). Reviewer: Iván Abonyi (Budapest) MSC: 76W05 76D05 78A25 35Q35 60H15 PDFBibTeX XMLCite \textit{M. Sango}, Physica D 239, No. 12, 912--923 (2010; Zbl 1193.76162) Full Text: DOI
Ma, Tian; Wang, Shouhong Dynamic transition theory for thermohaline circulation. (English) Zbl 1190.37084 Physica D 239, No. 3-4, 167-189 (2010). Reviewer: Gasanbek T. Arazov (Baku) MSC: 37N10 PDFBibTeX XMLCite \textit{T. Ma} and \textit{S. Wang}, Physica D 239, No. 3--4, 167--189 (2010; Zbl 1190.37084) Full Text: DOI arXiv
Cuevas, J.; James, G.; Kevrekidis, P. G.; Law, K. J. H. Vortex solutions of the discrete Gross-Pitaevskii equation starting from the anti-continuum limit. (English) Zbl 1167.82324 Physica D 238, No. 15, 1422-1431 (2009). MSC: 82C10 35Q55 35Q51 PDFBibTeX XMLCite \textit{J. Cuevas} et al., Physica D 238, No. 15, 1422--1431 (2009; Zbl 1167.82324) Full Text: DOI
Adhikari, Sadhan K.; Malomed, Boris A. Gap solitons in a model of a superfluid fermion gas in optical lattices. (English) Zbl 1167.82373 Physica D 238, No. 15, 1402-1412 (2009). MSC: 82D50 82B20 35Q51 PDFBibTeX XMLCite \textit{S. K. Adhikari} and \textit{B. A. Malomed}, Physica D 238, No. 15, 1402--1412 (2009; Zbl 1167.82373) Full Text: DOI arXiv
Wang, C.; Kevrekidis, P. G.; Whitaker, N.; Frantzeskakis, D. J.; Middelkamp, S.; Schmelcher, P. Collisionally inhomogeneous Bose-Einstein condensates in double-well potentials. (English) Zbl 1167.82341 Physica D 238, No. 15, 1362-1371 (2009). MSC: 82C10 82C22 35Q55 PDFBibTeX XMLCite \textit{C. Wang} et al., Physica D 238, No. 15, 1362--1371 (2009; Zbl 1167.82341) Full Text: DOI arXiv
Pérez-García, Víctor M.; Berloff, Natalia G.; Kevrekidis, Panayotis G.; Konotop, Vladimir V.; Malomed, Boris A. Nonlinear phenomena in degenerate quantum gases. (English) Zbl 1167.82332 Physica D 238, No. 15, 1289-1298 (2009). MSC: 82C10 81V45 35Q55 35Q51 82C26 PDFBibTeX XMLCite \textit{V. M. Pérez-García} et al., Physica D 238, No. 15, 1289--1298 (2009; Zbl 1167.82332) Full Text: DOI
Zakharov, V. E.; Ostrovsky, L. A. Modulation instability: The beginning. (English) Zbl 1157.37337 Physica D 238, No. 5, 540-548 (2009). MSC: 37K45 37-03 76-03 01A60 76B15 35Q55 78A40 78A60 PDFBibTeX XMLCite \textit{V. E. Zakharov} and \textit{L. A. Ostrovsky}, Physica D 238, No. 5, 540--548 (2009; Zbl 1157.37337) Full Text: DOI
Nohguchi, Yasuaki; Ozawa, Hisashi On the vortex formation at the moving front of lightweight granular particles. (English) Zbl 1168.76300 Physica D 238, No. 1, 20-26 (2009). MSC: 76-05 76T25 PDFBibTeX XMLCite \textit{Y. Nohguchi} and \textit{H. Ozawa}, Physica D 238, No. 1, 20--26 (2009; Zbl 1168.76300) Full Text: DOI
Chakraborty, Sagar On scaling laws in turbulent magnetohydrodynamic Rayleigh-Benard convection. (English) Zbl 1155.76062 Physica D 237, No. 24, 3233-3236 (2008). MSC: 76W05 76F35 PDFBibTeX XMLCite \textit{S. Chakraborty}, Physica D 237, No. 24, 3233--3236 (2008; Zbl 1155.76062) Full Text: DOI arXiv
Wang, C.; Kevrekidis, P. G.; Whitaker, N.; Malomed, B. A. Two-component nonlinear Schrödinger models with a double-well potential. (English) Zbl 1153.82304 Physica D 237, No. 22, 2922-2932 (2008). MSC: 82B10 35Q55 PDFBibTeX XMLCite \textit{C. Wang} et al., Physica D 237, No. 22, 2922--2932 (2008; Zbl 1153.82304) Full Text: DOI arXiv
Bao, Weizhu; Zeng, Rong; Zhang, Yanzhi Quantized vortex stability and interaction in the nonlinear wave equation. (English) Zbl 1147.82037 Physica D 237, No. 19, 2391-2410 (2008). MSC: 82D50 76B47 35Q40 65M60 65M06 65T40 PDFBibTeX XMLCite \textit{W. Bao} et al., Physica D 237, No. 19, 2391--2410 (2008; Zbl 1147.82037) Full Text: DOI
Lafitte, Olivier The linear and nonlinear Rayleigh-Taylor instability for the quasi-isobaric profile. (English) Zbl 1147.76573 Physica D 237, No. 10-12, 1602-1639 (2008). MSC: 76E17 76E30 35Q35 PDFBibTeX XMLCite \textit{O. Lafitte}, Physica D 237, No. 10--12, 1602--1639 (2008; Zbl 1147.76573) Full Text: DOI arXiv
Zhang, Yanzhi; Bao, Weizhu; Li, Hailiang Dynamics of rotating two-component Bose-Einstein condensates and its efficient computation. (English) Zbl 1130.82023 Physica D 234, No. 1, 49-69 (2007). MSC: 82C10 35Q55 65M06 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Physica D 234, No. 1, 49--69 (2007; Zbl 1130.82023) Full Text: DOI
Kapitula, Todd; Kevrekidis, P. G.; Carretero-González, R. Rotating matter waves in Bose-Einstein condensates. (English) Zbl 1124.35085 Physica D 233, No. 2, 112-137 (2007). MSC: 35Q55 82D50 37K40 37K45 PDFBibTeX XMLCite \textit{T. Kapitula} et al., Physica D 233, No. 2, 112--137 (2007; Zbl 1124.35085) Full Text: DOI
Itin, A. P.; Vasiliev, A. A.; Krishna, G.; Watanabe, S. Change in the adiabatic invariant in a nonlinear two-mode model of Feshbach resonance passage. (English) Zbl 1147.82307 Physica D 232, No. 2, 108-115 (2007). MSC: 82B10 PDFBibTeX XMLCite \textit{A. P. Itin} et al., Physica D 232, No. 2, 108--115 (2007; Zbl 1147.82307) Full Text: DOI arXiv
Agarwal, S.; Johns, L. E.; Narayanan, R. Geometric effects on surface roughness in precipitation. (English) Zbl 1153.76030 Physica D 232, No. 1, 16-21 (2007). MSC: 76E17 76T10 PDFBibTeX XMLCite \textit{S. Agarwal} et al., Physica D 232, No. 1, 16--21 (2007; Zbl 1153.76030) Full Text: DOI
Porter, Mason A.; Kevrekidis, P. G.; Malomed, Boris A.; Frantzeskakis, D. J. Modulated amplitude waves in collisionally inhomogeneous Bose-Einstein condensates. (English) Zbl 1113.82040 Physica D 229, No. 2, 104-115 (2007). MSC: 82C10 PDFBibTeX XMLCite \textit{M. A. Porter} et al., Physica D 229, No. 2, 104--115 (2007; Zbl 1113.82040) Full Text: DOI arXiv
Bratek, L.; Brizhik, L.; Eremko, A.; Piette, B.; Watson, M.; Zakrzewski, W. Self-trapped electron states in nanotubes. (English) Zbl 1183.82105 Physica D 228, No. 2, 130-139 (2007). MSC: 82D80 PDFBibTeX XMLCite \textit{L. Bratek} et al., Physica D 228, No. 2, 130--139 (2007; Zbl 1183.82105) Full Text: DOI arXiv
Hoyuelos, M. Numerical study of the vector complex Swift-Hohenberg equation. (English) Zbl 1255.78027 Physica D 223, No. 2, 174-179 (2006). MSC: 78A60 35Q55 PDFBibTeX XMLCite \textit{M. Hoyuelos}, Physica D 223, No. 2, 174--179 (2006; Zbl 1255.78027) Full Text: DOI
Eyink, Gregory L.; Aluie, Hussein The breakdown of Alfvén’s theorem in ideal plasma flows: Necessary conditions and physical conjectures. (English) Zbl 1200.76222 Physica D 223, No. 1, 82-92 (2006). MSC: 76W05 PDFBibTeX XMLCite \textit{G. L. Eyink} and \textit{H. Aluie}, Physica D 223, No. 1, 82--92 (2006; Zbl 1200.76222) Full Text: DOI arXiv
Finn, Matthew D.; Thiffeault, Jean-Luc; Gouillart, Emmanuelle Topological chaos in spatially periodic mixers. (English) Zbl 1103.76020 Physica D 221, No. 1, 92-100 (2006). MSC: 76D07 37N10 PDFBibTeX XMLCite \textit{M. D. Finn} et al., Physica D 221, No. 1, 92--100 (2006; Zbl 1103.76020) Full Text: DOI arXiv
Hammele, M.; Schuler, S.; Zimmermann, W. Effects of parametric disorder on a stationary bifurcation. (English) Zbl 1103.35018 Physica D 218, No. 2, 139-157 (2006). MSC: 35B32 35R60 PDFBibTeX XMLCite \textit{M. Hammele} et al., Physica D 218, No. 2, 139--157 (2006; Zbl 1103.35018) Full Text: DOI
Della Casa, Filippo F. G.; Sacchetti, Andrea Stationary states for non linear one-dimensional Schrödinger equations with singular potential. (English) Zbl 1200.35287 Physica D 219, No. 1, 60-68 (2006). MSC: 35Q55 PDFBibTeX XMLCite \textit{F. F. G. Della Casa} and \textit{A. Sacchetti}, Physica D 219, No. 1, 60--68 (2006; Zbl 1200.35287) Full Text: DOI
Balasuriya, Sanjeeva Optimal perturbation for enhanced chaotic transport. (English) Zbl 1080.34028 Physica D 202, No. 3-4, 155-176 (2005). Reviewer: Sergei Yu. Pilyugin (St. Petersburg) MSC: 34C37 34C23 76B99 37J40 PDFBibTeX XMLCite \textit{S. Balasuriya}, Physica D 202, No. 3--4, 155--176 (2005; Zbl 1080.34028) Full Text: DOI
Ercolani, Nick; Taylor, Michael The Dirichlet-to-Neumann map, viscosity solutions to eikonal equations, and the self-dual equations of pattern formation. (English) Zbl 1058.35018 Physica D 196, No. 3-4, 205-223 (2004). Reviewer: Ştefan Mirică (Bucureşti) MSC: 35B25 49L25 35B30 58J05 PDFBibTeX XMLCite \textit{N. Ercolani} and \textit{M. Taylor}, Physica D 196, No. 3--4, 205--223 (2004; Zbl 1058.35018) Full Text: DOI
Pismen, L. M. Weakly radiative spiral waves. (English) Zbl 1098.74612 Physica D 184, No. 1-4, 141-152 (2003). MSC: 74J30 35Q53 35Q55 PDFBibTeX XMLCite \textit{L. M. Pismen}, Physica D 184, No. 1--4, 141--152 (2003; Zbl 1098.74612) Full Text: DOI
Golovin, A. A.; Nepomnyashchy, A. A.; Matkowsky, B. J. Traveling and spiral waves for sequential flames with translation symmetry: coupled CGL-Burgers equations. (English) Zbl 0982.80007 Physica D 160, No. 1-2, 1-28 (2001). MSC: 80A32 35Q53 PDFBibTeX XMLCite \textit{A. A. Golovin} et al., Physica D 160, No. 1--2, 1--28 (2001; Zbl 0982.80007) Full Text: DOI
Newell, Alan C.; Nazarenko, Sergey; Biven, Laura Wave turbulence and intermittency. (English) Zbl 1049.76033 Physica D 152-153, 520-550 (2001). MSC: 76F55 PDFBibTeX XMLCite \textit{A. C. Newell} et al., Physica D 152--153, 520--550 (2001; Zbl 1049.76033) Full Text: DOI
Antonov, N. V. Anomalous scaling of a passive scalar advected by the synthetic compressible flow. (English) Zbl 0986.76026 Physica D 144, No. 3-4, 370-386 (2000). MSC: 76F30 76F50 PDFBibTeX XMLCite \textit{N. V. Antonov}, Physica D 144, No. 3--4, 370--386 (2000; Zbl 0986.76026) Full Text: DOI arXiv
Balk, A. M. On the Kolmogorov-Zakharov spectra of weak turbulence. (English) Zbl 0965.76035 Physica D 139, No. 1-2, 137-157 (2000). MSC: 76F99 76X05 PDFBibTeX XMLCite \textit{A. M. Balk}, Physica D 139, No. 1--2, 137--157 (2000; Zbl 0965.76035) Full Text: DOI
Rudolph, Matthias; Shinbrot, Troy; Lueptow, Richard M. A model of mixing and transport in wavy Taylor-Couette flow. (English) Zbl 0951.76094 Physica D 121, No. 1-2, 163-174 (1998). MSC: 76U05 76D17 PDFBibTeX XMLCite \textit{M. Rudolph} et al., Physica D 121, No. 1--2, 163--174 (1998; Zbl 0951.76094) Full Text: DOI
Camassa, Roberto; Hyman, James M.; Luce, Benjamin P. Nonlinear waves and solitons in physical systems. (English) Zbl 0939.35159 Physica D 123, No. 1-4, 1-20 (1998). MSC: 35Q51 35-02 35Q53 37K10 76B15 PDFBibTeX XMLCite \textit{R. Camassa} et al., Physica D 123, No. 1--4, 1--20 (1998; Zbl 0939.35159) Full Text: DOI
Hogrefe, J. Errett; Peffley, Nicholas L.; Goodridge, Christopher L.; Shi, William T.; Hentschel, H. George E.; Lathrop, Daniel P. Power-law singularities in gravity-capillary waves. (English) Zbl 0962.76506 Physica D 123, No. 1-4, 183-205 (1998). MSC: 76-05 76D33 76D45 PDFBibTeX XMLCite \textit{J. E. Hogrefe} et al., Physica D 123, No. 1--4, 183--205 (1998; Zbl 0962.76506) Full Text: DOI
Muriel, A. Quantum kinetic model of turbulence. (English) Zbl 0944.76031 Physica D 124, No. 1-3, 225-247 (1998). MSC: 76F99 82C21 PDFBibTeX XMLCite \textit{A. Muriel}, Physica D 124, No. 1--3, 225--247 (1998; Zbl 0944.76031) Full Text: DOI
Bornemann, Folkmar A.; Schütte, Christof Homogenization of Hamiltonian systems with a strong constraining potential. (English) Zbl 0896.70010 Physica D 102, No. 1-2, 57-77 (1997). MSC: 70H05 37J99 70-02 PDFBibTeX XMLCite \textit{F. A. Bornemann} and \textit{C. Schütte}, Physica D 102, No. 1--2, 57--77 (1997; Zbl 0896.70010) Full Text: DOI
Shinbrot, Troy; Bresler, Leo; Ottino, Julio M. Control of transport in a chaotic lattice. (English) Zbl 0899.76029 Physica D 93, No. 3-4, 191-209 (1996). MSC: 76-XX 37N99 PDFBibTeX XMLCite \textit{T. Shinbrot} et al., Physica D 93, No. 3--4, 191--209 (1996; Zbl 0899.76029) Full Text: DOI
Wilder, Joseph W.; Vasquez, Desiderio A.; Edwards, Boyd F. Simulation of nonlinear front evolution equations for two-dimensional chemical waves involving convection. (English) Zbl 0899.76185 Physica D 90, No. 1-2, 170-178 (1996). MSC: 76E30 76V05 PDFBibTeX XMLCite \textit{J. W. Wilder} et al., Physica D 90, No. 1--2, 170--178 (1996; Zbl 0899.76185) Full Text: DOI
Wang, L.; Bosley, D. L.; Kevorkian, J. Asymptotic analysis of a class of three-degree-of-freedom Hamiltonian systems near stable equilibria. (English) Zbl 0894.58018 Physica D 88, No. 2, 87-115 (1995). MSC: 37J99 PDFBibTeX XMLCite \textit{L. Wang} et al., Physica D 88, No. 2, 87--115 (1995; Zbl 0894.58018) Full Text: DOI
Scott, A. C.; Eilbeck, J. C.; Gilhøj, H. Quantum lattice solitons. (English) Zbl 0826.35106 Physica D 78, No. 3-4, 194-213 (1994). MSC: 35Q40 81U40 PDFBibTeX XMLCite \textit{A. C. Scott} et al., Physica D 78, No. 3--4, 194--213 (1994; Zbl 0826.35106) Full Text: DOI arXiv
Villermaux, E.; Hopfinger, E. J. Self-sustained oscillations of a confined jet: A case study for the nonlinear delayed saturation model. (English) Zbl 0825.76010 Physica D 72, No. 3, 230-243 (1994). MSC: 76-05 76D25 PDFBibTeX XMLCite \textit{E. Villermaux} and \textit{E. J. Hopfinger}, Physica D 72, No. 3, 230--243 (1994; Zbl 0825.76010) Full Text: DOI
Jones, Wesley B.; Montgomery, David Finite amplitude steady states of high Reynolds number 2-D channel flow. (English) Zbl 0815.76065 Physica D 73, No. 3, 227-243 (1994). MSC: 76M25 76D05 PDFBibTeX XMLCite \textit{W. B. Jones} and \textit{D. Montgomery}, Physica D 73, No. 3, 227--243 (1994; Zbl 0815.76065) Full Text: DOI
Balk, A.; Ferapontov, E. Wave systems with an infinite number of invariants. (English) Zbl 0809.35077 Physica D 70, No. 1-2, 100-114 (1994). MSC: 35Q35 76X05 PDFBibTeX XMLCite \textit{A. Balk} and \textit{E. Ferapontov}, Physica D 70, No. 1--2, 100--114 (1994; Zbl 0809.35077) Full Text: DOI
Knobloch, E.; Silber, M. Oscillatory convection in a rotating layer. (English) Zbl 0769.34029 Physica D 63, No. 1-2, 213-232 (1993). MSC: 34C23 34C27 34C37 76E15 PDFBibTeX XMLCite \textit{E. Knobloch} and \textit{M. Silber}, Physica D 63, No. 1--2, 213--232 (1993; Zbl 0769.34029) Full Text: DOI
Balk, A.; Ferapontov, E. Invariants of 4-wave interactions. (English) Zbl 0772.73022 Physica D 65, No. 3, 274-288 (1993). MSC: 74J99 78A40 PDFBibTeX XMLCite \textit{A. Balk} and \textit{E. Ferapontov}, Physica D 65, No. 3, 274--288 (1993; Zbl 0772.73022) Full Text: DOI
Bestehorn, Michael Numerical results of 3D convection in a binary mixture for a positive separation ratio. (English) Zbl 0786.76078 Physica D 61, No. 1-4, 59-66 (1992). MSC: 76R10 76M25 PDFBibTeX XMLCite \textit{M. Bestehorn}, Physica D 61, No. 1--4, 59--66 (1992; Zbl 0786.76078) Full Text: DOI
Bodenschatz, Eberhard; Cannell, David S.; de Bruyn, John R.; Ecke, Robert; Hu, Yu-Chou; Lerman, Kristina; Ahlers, Guenter Experiments on three systems with non-variational aspects. (English) Zbl 0800.76008 Physica D 61, No. 1-4, 77-93 (1992). MSC: 76-05 76R10 PDFBibTeX XMLCite \textit{E. Bodenschatz} et al., Physica D 61, No. 1--4, 77--93 (1992; Zbl 0800.76008) Full Text: DOI
Fantz, M.; Friedrich, R.; Bestehorn, M.; Haken, H. Pattern formation in rotating Bénard convection. (English) Zbl 0786.76080 Physica D 61, No. 1-4, 147-154 (1992). MSC: 76R10 76E15 76U05 80A20 PDFBibTeX XMLCite \textit{M. Fantz} et al., Physica D 61, No. 1--4, 147--154 (1992; Zbl 0786.76080) Full Text: DOI
Zhong, Fang; Ecke, Robert; Steinberg, Victor Rotating Rayleigh-Benard convection: Kueppers-Lortz transition. (English) Zbl 0729.76530 Physica D 51, No. 1-3, 596-607 (1991). MSC: 76-XX PDFBibTeX XMLCite \textit{F. Zhong} et al., Physica D 51, No. 1--3, 596--607 (1991; Zbl 0729.76530) Full Text: DOI
Metcalfe, Guy; Behringer, Robert P. Using superfluid mixtures to probe convective instabilities. (English) Zbl 0729.76529 Physica D 51, No. 1-3, 520-530 (1991). MSC: 76-XX PDFBibTeX XMLCite \textit{G. Metcalfe} and \textit{R. P. Behringer}, Physica D 51, No. 1--3, 520--530 (1991; Zbl 0729.76529) Full Text: DOI
Ahlers, Guenter Experiments with pattern-forming systems. (English) Zbl 0729.76527 Physica D 51, No. 1-3, 421-443 (1991). MSC: 76-XX 34-XX PDFBibTeX XMLCite \textit{G. Ahlers}, Physica D 51, No. 1--3, 421--443 (1991; Zbl 0729.76527) Full Text: DOI
Kai, Shoichi; Muller, Stefan C.; Mori, Toshio; Miki, Mutsumaru Chemically driven nonlinear waves and oscillations at an oil-water interface. (English) Zbl 0729.76509 Physica D 50, No. 3, 412-428 (1991). MSC: 76-05 76E99 76T99 76V05 PDFBibTeX XMLCite \textit{S. Kai} et al., Physica D 50, No. 3, 412--428 (1991; Zbl 0729.76509) Full Text: DOI
Camassa, R.; Wiggins, S. Transport of a passive tracer in time-dependent Rayleigh-Bénard convection. (English) Zbl 0735.76062 Physica D 51, No. 1-3, 472-481 (1991). MSC: 76R05 76E15 PDFBibTeX XMLCite \textit{R. Camassa} and \textit{S. Wiggins}, Physica D 51, No. 1--3, 472--481 (1991; Zbl 0735.76062) Full Text: DOI Link
Mikaelian, Karnig O. Turbulent mixing generated by Rayleigh-Taylor and Richtmyer-Meshkov instabilities. (English) Zbl 0692.76052 Physica D 36, No. 3, 343-357 (1989). MSC: 76F99 76E99 PDFBibTeX XMLCite \textit{K. O. Mikaelian}, Physica D 36, No. 3, 343--357 (1989; Zbl 0692.76052) Full Text: DOI
Grauer, Rainer Nonlinear interactions of tearing modes in the vicinity of a bifurcation point of codimension two. (English) Zbl 0667.76071 Physica D 35, No. 1-2, 107-126 (1989). MSC: 76E25 76E30 76X05 PDFBibTeX XMLCite \textit{R. Grauer}, Physica D 35, No. 1--2, 107--126 (1989; Zbl 0667.76071) Full Text: DOI
Grimes, Dale M. Quantum theory: the classical theory of nonlinear electromagnetics. (English) Zbl 0682.35095 Physica D 32, No. 1, 1-17 (1988). MSC: 35Q99 PDFBibTeX XMLCite \textit{D. M. Grimes}, Physica D 32, No. 1, 1--17 (1988; Zbl 0682.35095) Full Text: DOI
Golubitsky, M.; Langford, W. F. Pattern formation and bistability in flow between counterrotating cylinders. (English) Zbl 0656.76088 Physica D 32, No. 3, 362-392 (1988). MSC: 76U05 76E17 76E99 76M99 PDFBibTeX XMLCite \textit{M. Golubitsky} and \textit{W. F. Langford}, Physica D 32, No. 3, 362--392 (1988; Zbl 0656.76088) Full Text: DOI
Grimes, Dale M. Quantum theory and classical, nonlinear electronics. (English) Zbl 0597.35110 Physica D 20, 285-302 (1986). MSC: 35Q99 81P10 78A25 81V80 78A40 PDFBibTeX XMLCite \textit{D. M. Grimes}, Physica D 20, 285--302 (1986; Zbl 0597.35110) Full Text: DOI