Yin, H. M.; Chow, K. W. Breathers, cascading instabilities and Fermi-Pasta-Ulam-Tsingou recurrence of the derivative nonlinear Schrödinger equation: effects of ‘self-steepening’ nonlinearity. (English) Zbl 1491.76034 Physica D 428, Article ID 133033, 15 p. (2021). MSC: 76E30 76B15 35Q55 PDFBibTeX XMLCite \textit{H. M. Yin} and \textit{K. W. Chow}, Physica D 428, Article ID 133033, 15 p. (2021; Zbl 1491.76034) Full Text: DOI
Lohe, M. A. On the double sphere model of synchronization. (English) Zbl 1509.34042 Physica D 412, Article ID 132642, 13 p. (2020). Reviewer: Xiongtao Zhang (Wuhan) MSC: 34C40 34C15 34D06 34C20 PDFBibTeX XMLCite \textit{M. A. Lohe}, Physica D 412, Article ID 132642, 13 p. (2020; Zbl 1509.34042) Full Text: DOI
Sardanyés, Josep; Lázaro, J. Tomás; Guillamon, Antoni; Fontich, Ernest Full analysis of small hypercycles with short-circuits in prebiotic evolution. (English) Zbl 1415.92138 Physica D 347, 90-108 (2017). MSC: 92D15 37N25 34C60 34L15 34C23 PDFBibTeX XMLCite \textit{J. Sardanyés} et al., Physica D 347, 90--108 (2017; Zbl 1415.92138) Full Text: DOI
Merlin, G.; Latha, M. M. Two exciton energy transfer in an inhomogeneous alpha-helical protein chain. (English) Zbl 1291.35416 Physica D 265, 71-77 (2013). MSC: 35Q92 92D15 35Q55 35Q51 PDFBibTeX XMLCite \textit{G. Merlin} and \textit{M. M. Latha}, Physica D 265, 71--77 (2013; Zbl 1291.35416) Full Text: DOI
Barker, Blake; Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Zumbrun, Kevin Nonlinear modulational stability of periodic traveling-wave solutions of the generalized Kuramoto-Sivashinsky equation. (English) Zbl 1304.35184 Physica D 258, 11-46 (2013). MSC: 35C07 35B35 35K57 PDFBibTeX XMLCite \textit{B. Barker} et al., Physica D 258, 11--46 (2013; Zbl 1304.35184) Full Text: DOI arXiv
Lassas, M.; Mueller, J. L.; Siltanen, S.; Stahel, A. The Novikov-Veselov equation and the inverse scattering method. I: Analysis. (English) Zbl 1248.35187 Physica D 241, No. 16, 1322-1335 (2012). MSC: 35Q53 34L25 PDFBibTeX XMLCite \textit{M. Lassas} et al., Physica D 241, No. 16, 1322--1335 (2012; Zbl 1248.35187) Full Text: DOI arXiv
Debussche, Arnaud; Glatt-Holtz, Nathan; Temam, Roger Local martingale and pathwise solutions for an abstract fluids model. (English) Zbl 1230.60065 Physica D 240, No. 14-15, 1123-1144 (2011). Reviewer: Aleksandr D. Borisenko (Kyïv) MSC: 60H15 60H30 35R60 35A01 35A02 76D03 PDFBibTeX XMLCite \textit{A. Debussche} et al., Physica D 240, No. 14--15, 1123--1144 (2011; Zbl 1230.60065) Full Text: DOI arXiv
Chini, Gregory P.; Dianati, Navid; Zhang, Zhexuan; Doering, Charles R. Low-dimensional models from upper bound theory. (English) Zbl 1372.37121 Physica D 240, No. 2, 241-248 (2011). MSC: 37L05 37L65 37N10 76D05 76S05 PDFBibTeX XMLCite \textit{G. P. Chini} et al., Physica D 240, No. 2, 241--248 (2011; Zbl 1372.37121) Full Text: DOI
Ambrosio, Luigi Evolution problems in spaces of probability measures. (English) Zbl 1193.82028 Physica D 239, No. 15, 1446-1452 (2010). MSC: 82C31 37A50 60H15 47J40 PDFBibTeX XMLCite \textit{L. Ambrosio}, Physica D 239, No. 15, 1446--1452 (2010; Zbl 1193.82028) Full Text: DOI
Lakoba, T. I. Conjugate gradient method for finding fundamental solitary waves. (English) Zbl 1180.37109 Physica D 238, No. 23-24, 2308-2330 (2009). MSC: 37K40 37M05 37C65 PDFBibTeX XMLCite \textit{T. I. Lakoba}, Physica D 238, No. 23--24, 2308--2330 (2009; Zbl 1180.37109) Full Text: DOI arXiv
Budhiraja, Amarjit; Chen, Lingji; Lee, Chihoon A survey of numerical methods for nonlinear filtering problems. (English) Zbl 1114.65301 Physica D 230, No. 1-2, 27-36 (2007). MSC: 65C30 60H10 60H35 37H10 60G35 93E11 PDFBibTeX XMLCite \textit{A. Budhiraja} et al., Physica D 230, No. 1--2, 27--36 (2007; Zbl 1114.65301) Full Text: DOI
Wu, Guojiang; Han, Jiahua; Zhang, Wenliang; Zhang, Miao New periodic wave solutions to nonlinear evolution equations by the extended mapping method. (English) Zbl 1116.35302 Physica D 229, No. 2, 116-122 (2007). MSC: 35B10 35Q53 PDFBibTeX XMLCite \textit{G. Wu} et al., Physica D 229, No. 2, 116--122 (2007; Zbl 1116.35302) Full Text: DOI
Sheintuch, Moshe; Smagina, Yelena Nanopore formation dynamics during aluminum anodization. (English) Zbl 1122.78009 Physica D 226, No. 1, 95-105 (2007). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78A55 35J65 80A30 PDFBibTeX XMLCite \textit{M. Sheintuch} and \textit{Y. Smagina}, Physica D 226, No. 1, 95--105 (2007; Zbl 1122.78009) Full Text: DOI
Griffiths, S. D.; Grimshaw, R. H. J.; Khusnutdinova, K. R. Modulational instability of two pairs of counter-propagating waves and energy exchange in a two-component system. (English) Zbl 1091.35081 Physica D 214, No. 1, 1-24 (2006). MSC: 35Q53 35Q55 76B15 PDFBibTeX XMLCite \textit{S. D. Griffiths} et al., Physica D 214, No. 1, 1--24 (2006; Zbl 1091.35081) Full Text: DOI arXiv
Galiev, Sh. U. Strongly nonlinear two-speed wave equations for coastal waves and their application. (English) Zbl 1073.35152 Physica D 208, No. 3-4, 147-171 (2005). MSC: 35L55 35Q51 35Q35 PDFBibTeX XMLCite \textit{Sh. U. Galiev}, Physica D 208, No. 3--4, 147--171 (2005; Zbl 1073.35152) Full Text: DOI
Lapuerta, Victoria; Martel, Carlos; Vega, José M. Weakly dissipative Faraday waves in 2D large aspect ratio annuli. (English) Zbl 1042.76007 Physica D 173, No. 3-4, 178-203 (2002). MSC: 76B15 76E17 PDFBibTeX XMLCite \textit{V. Lapuerta} et al., Physica D 173, No. 3--4, 178--203 (2002; Zbl 1042.76007) Full Text: DOI
Lemanska, Miriam; Jaeger, Zeev A nonlinear model for relaxation in excited closed physical systems. (English) Zbl 0998.82025 Physica D 170, No. 1, 72-86 (2002). MSC: 82C31 PDFBibTeX XMLCite \textit{M. Lemanska} and \textit{Z. Jaeger}, Physica D 170, No. 1, 72--86 (2002; Zbl 0998.82025) Full Text: DOI
Scheuer, Jacob; Malomed, Boris A. Stable and chaotic solutions of the complex Ginzburg-Landau equation with periodic boundary conditions. (English) Zbl 0988.78017 Physica D 161, No. 1-2, 102-115 (2002). MSC: 78A60 35Q55 PDFBibTeX XMLCite \textit{J. Scheuer} and \textit{B. A. Malomed}, Physica D 161, No. 1--2, 102--115 (2002; Zbl 0988.78017) Full Text: DOI arXiv
Pier, Benoît; Huerre, Patrick; Chomaz, Jean-Marc Bifurcation to fully nonlinear synchronized structures in slowly varying media. (English) Zbl 0989.76024 Physica D 148, No. 1-2, 49-96 (2001). MSC: 76E30 76E15 37N10 PDFBibTeX XMLCite \textit{B. Pier} et al., Physica D 148, No. 1--2, 49--96 (2001; Zbl 0989.76024) Full Text: DOI
Sandstede, Björn; Scheel, Arnd Absolute and convective instabilities of waves on unbounded and large bounded domains. (English) Zbl 0963.34072 Physica D 145, No. 3-4, 233-277 (2000). MSC: 34L05 34L16 35B35 65L10 PDFBibTeX XMLCite \textit{B. Sandstede} and \textit{A. Scheel}, Physica D 145, No. 3--4, 233--277 (2000; Zbl 0963.34072) Full Text: DOI
Feng, Bao-Feng; Kawahara, Takuji Temporal evolutions and stationary waves for dissipative Benjamin-Ono equation. (English) Zbl 0953.35124 Physica D 139, No. 3-4, 301-318 (2000). MSC: 35Q53 37L05 76B15 PDFBibTeX XMLCite \textit{B.-F. Feng} and \textit{T. Kawahara}, Physica D 139, No. 3--4, 301--318 (2000; Zbl 0953.35124) Full Text: DOI
Ellinas, Demosthenes; Johansson, Magnus; Christiansen, Peter L. Quantum nonlinear lattices and coherent state vectors. (English) Zbl 0960.81035 Physica D 134, No. 1, 126-143 (1999). MSC: 81R30 37K60 PDFBibTeX XMLCite \textit{D. Ellinas} et al., Physica D 134, No. 1, 126--143 (1999; Zbl 0960.81035) Full Text: DOI arXiv
Csahók, Zoltán; Misbah, Chaouqi; Valance, Alexandre A class of nonlinear front evolution equations derived from geometry and conservation. (English) Zbl 0947.76028 Physica D 128, No. 1, 87-100 (1999). MSC: 76E30 76E20 76T99 35L65 PDFBibTeX XMLCite \textit{Z. Csahók} et al., Physica D 128, No. 1, 87--100 (1999; Zbl 0947.76028) Full Text: DOI
Zhdanov, R. Z.; Lahno, V. I. Conditional symmetry of a porous medium equation. (English) Zbl 0952.76087 Physica D 122, No. 1-4, 178-186 (1998). MSC: 76S05 76M60 35K99 35Q35 35A30 PDFBibTeX XMLCite \textit{R. Z. Zhdanov} and \textit{V. I. Lahno}, Physica D 122, No. 1--4, 178--186 (1998; Zbl 0952.76087) Full Text: DOI
Bressloff, P. C.; Rowlands, G. Exact travlling wavelling wave solutions of an ”intgrablegrable” discrete reaction-diffusion equation. (English) Zbl 0943.37036 Physica D 106, No. 3-4, 255-269 (1997). MSC: 37L05 37N10 35K57 35Q99 PDFBibTeX XMLCite \textit{P. C. Bressloff} and \textit{G. Rowlands}, Physica D 106, No. 3--4, 255--269 (1997; Zbl 0943.37036) Full Text: DOI
Constantin, Peter; Doering, Charles Variational bounds in dissipative systems. (English) Zbl 0900.35049 Physica D 82, No. 3, 221-228 (1995). MSC: 35B40 35B45 35Q30 47H20 PDFBibTeX XMLCite \textit{P. Constantin} and \textit{C. Doering}, Physica D 82, No. 3, 221--228 (1995; Zbl 0900.35049) Full Text: DOI
Pouliquen, Olivier; Huerre, Patrick; Chomaz, Jean-Marc Propagative sine-Gordon solitons in the spatially forced Kelvin-Helmholtz instability. (English) Zbl 0899.76158 Physica D 80, No. 4, 333-355 (1995). MSC: 76E17 76E99 35Q53 35Q35 PDFBibTeX XMLCite \textit{O. Pouliquen} et al., Physica D 80, No. 4, 333--355 (1995; Zbl 0899.76158) Full Text: DOI
Glozman, Michael; Agnon, Yehuda; Stiassnie, Michael High-order formulation of the water-wave problem. (English) Zbl 0785.76011 Physica D 66, No. 3-4, 347-367 (1993). MSC: 76B15 37D45 PDFBibTeX XMLCite \textit{M. Glozman} et al., Physica D 66, No. 3--4, 347--367 (1993; Zbl 0785.76011) Full Text: DOI
Peres, L.; Rubinstein, J. Vortex dynamics in U(1) Ginzburg-Landau models. (English) Zbl 0772.35069 Physica D 64, No. 1-3, 299-309 (1993). MSC: 35Q55 82D55 PDFBibTeX XMLCite \textit{L. Peres} and \textit{J. Rubinstein}, Physica D 64, No. 1--3, 299--309 (1993; Zbl 0772.35069) Full Text: DOI
Noack, Bernd R.; Ohle, Frank; Eckelmann, Helmut Construction and analysis of differential equations from experimental time series of oscillatory systems. (English) Zbl 0754.34034 Physica D 56, No. 4, 389-405 (1992). MSC: 34C23 34C25 34A55 34C15 35Q30 76D25 94A12 PDFBibTeX XMLCite \textit{B. R. Noack} et al., Physica D 56, No. 4, 389--405 (1992; Zbl 0754.34034) Full Text: DOI
Margolin, L. G.; Jones, D. A. An approximate inertial manifold for computing Burgers’ equation. (English) Zbl 0789.65069 Physica D 60, No. 1-4, 175-184 (1992). Reviewer: R.Gorenflo (Berlin) MSC: 65M06 35Q53 35G10 35K25 35K55 54H20 PDFBibTeX XMLCite \textit{L. G. Margolin} and \textit{D. A. Jones}, Physica D 60, No. 1--4, 175--184 (1992; Zbl 0789.65069) Full Text: DOI
Trifonov, Yu. Ya. Two-periodical and quasi-periodical wave solutions of the Kuramoto- Sivashinsky equation and their stability and bifurcations. (English) Zbl 0741.35074 Physica D 54, No. 4, 311-330 (1992). MSC: 35Q53 76N20 35B32 PDFBibTeX XMLCite \textit{Yu. Ya. Trifonov}, Physica D 54, No. 4, 311--330 (1992; Zbl 0741.35074) Full Text: DOI
Huang, Xun-Cheng An age-dependent population model and its operator. (English) Zbl 0711.92015 Physica D 41, No. 3, 356-370 (1990). Reviewer: T.Nambu MSC: 92D25 35Q92 47E05 35G10 35K25 45K05 35F30 47D06 47D03 PDFBibTeX XMLCite \textit{X.-C. Huang}, Physica D 41, No. 3, 356--370 (1990; Zbl 0711.92015) Full Text: DOI
Greene, John M.; Kim, Jin-Soo Introduction of a metric tensor into linearized evolution equations. (English) Zbl 0691.35073 Physica D 36, No. 1-2, 83-91 (1989). MSC: 35Q99 35G10 35K25 65M99 65N99 PDFBibTeX XMLCite \textit{J. M. Greene} and \textit{J.-S. Kim}, Physica D 36, No. 1--2, 83--91 (1989; Zbl 0691.35073) Full Text: DOI
Cariello, F.; Tabor, M. Painlevé expansions for nonintegrable evolution equations. (English) Zbl 0687.35093 Physica D 39, No. 1, 77-94 (1989). MSC: 35Q99 35G10 35K25 PDFBibTeX XMLCite \textit{F. Cariello} and \textit{M. Tabor}, Physica D 39, No. 1, 77--94 (1989; Zbl 0687.35093) Full Text: DOI
Tsvelodub, O. Yu.; Trifonov, Yu. Ya. On steady-state travelling solutions of an evolution equation describing the behaviour of disturbances in active dissipative media. (English) Zbl 0682.76074 Physica D 39, No. 2-3, 336-351 (1989). MSC: 76R50 35Q99 PDFBibTeX XMLCite \textit{O. Yu. Tsvelodub} and \textit{Yu. Ya. Trifonov}, Physica D 39, No. 2--3, 336--351 (1989; Zbl 0682.76074) Full Text: DOI
Nijhoff, Frank W. Linear integral transformations and hierarchies of integrable nonlinear evolution equations. (English) Zbl 0654.35086 Physica D 31, No. 3, 339-388 (1988). MSC: 35Q99 35A22 35G20 35G10 35K25 PDFBibTeX XMLCite \textit{F. W. Nijhoff}, Physica D 31, No. 3, 339--388 (1988; Zbl 0654.35086) Full Text: DOI
Bernoff, Andrew J. Slowly varying fully nonlinear wavetrains in the Ginzburg-Landau equation. (English) Zbl 0642.76019 Physica D 30, No. 3, 363-381 (1988). MSC: 76B15 35Q99 PDFBibTeX XMLCite \textit{A. J. Bernoff}, Physica D 30, No. 3, 363--381 (1988; Zbl 0642.76019) Full Text: DOI
Frankel, M. L. On the weakly nonlinear evolution of a perturbed planar solid-liquid interface. (English) Zbl 0663.35093 Physica D 27, 260-266 (1987). MSC: 35Q99 74E30 PDFBibTeX XMLCite \textit{M. L. Frankel}, Physica D 27, 260--266 (1987; Zbl 0663.35093) Full Text: DOI
Sattinger, D. H.; Zurkowski, V. D. Gauge theory of Bäcklund transformations. II. (English) Zbl 0658.35080 Physica D 26, 225-250 (1987). MSC: 35Q99 35A30 58J72 58J90 PDFBibTeX XMLCite \textit{D. H. Sattinger} and \textit{V. D. Zurkowski}, Physica D 26, 225--250 (1987; Zbl 0658.35080) Full Text: DOI
Third workshop on nonlinear evolution equations and dynamical systems. Baia Verde, Gallipoli near Lecce, Italy, June 20-July 5. 1985. (English) Zbl 0648.58001 Physica D 28, 219-249 (1987). MSC: 58-06 00Bxx 35-06 PDFBibTeX XMLCite Physica D 28, 219--249 (1987; Zbl 0648.58001)
Cheng, Yi.; Li, Yishen Symmetries and constants of motion for new hierarchy of the KP equations. (English) Zbl 0638.35078 Physica D 28, 189-196 (1987). MSC: 35Q99 35A30 35P25 PDFBibTeX XMLCite \textit{Yi. Cheng} and \textit{Y. Li}, Physica D 28, 189--196 (1987; Zbl 0638.35078) Full Text: DOI
Ablowitz, Mark J.; Nachman, Adrian I. Multidimensional nonlinear evolution equations and inverse scattering. (English) Zbl 0604.35070 Physica D 18, 223-241 (1986). Reviewer: G.Perla Menzala MSC: 35Q99 35R30 35P25 PDFBibTeX XMLCite \textit{M. J. Ablowitz} and \textit{A. I. Nachman}, Physica D 18, 223--241 (1986; Zbl 0604.35070) Full Text: DOI
Grünbaum, F. Alberto Some nonlinear evolution equations and related topics arising in medical imaging. (English) Zbl 0586.92007 Physica D 18, 308-311 (1986). MSC: 92C50 35J10 92F05 35P30 35Q99 PDFBibTeX XMLCite \textit{F. A. Grünbaum}, Physica D 18, 308--311 (1986; Zbl 0586.92007) Full Text: DOI
Rypdal, Kristoffer; Rasmussen, Jens Juul; Thomsen, Knud Similarity structure of wave-collapse. (English) Zbl 0584.35095 Physica D 16, 339-357 (1985). Reviewer: J.Hainzl MSC: 35Q99 35K55 35A35 35G10 35K25 65M99 65N99 PDFBibTeX XMLCite \textit{K. Rypdal} et al., Physica D 16, 339--357 (1985; Zbl 0584.35095) Full Text: DOI
Armbruster, D.; Dangelmayr, G.; Güttinger, W. Imperfection sensitivity of interacting Hopf and steady-state bifurcations and their classification. (English) Zbl 0579.58017 Physica D 16, 99-123 (1985). MSC: 37G99 37N99 PDFBibTeX XMLCite \textit{D. Armbruster} et al., Physica D 16, 99--123 (1985; Zbl 0579.58017) Full Text: DOI
Calogero, F.; Degasperis, A. Elementary Bäcklund transformations, nonlinear superposition formulae and algebraic construction of solutions for the nonlinear evolution equations solvable by the Zakharov-Shabat spectral transform. (English) Zbl 0596.35009 Physica D 14, No. 1, 103-116 (1984). Reviewer: S.Tersian MSC: 35C05 35Q99 PDFBibTeX XMLCite \textit{F. Calogero} and \textit{A. Degasperis}, Physica D 14, No. 1, 103--116 (1984; Zbl 0596.35009) Full Text: DOI
Schwarz, Fritz The Riquier-Janet theory and its application to nonlinear evolution equations. (English) Zbl 0588.58032 Physica D 11, 243-251 (1984). Reviewer: G.Warnecke MSC: 37J35 37K10 35Q99 68R99 PDFBibTeX XMLCite \textit{F. Schwarz}, Physica D 11, 243--251 (1984; Zbl 0588.58032) Full Text: DOI
Giusto, F. M.; Minelli, T. A.; Pascolini, A. Discontinuous nonlinear evolution equations: Broken conservation laws and soliton tunnelling. (English) Zbl 0583.76022 Physica D 11, 227-238 (1984). MSC: 76B25 76M99 35Q99 PDFBibTeX XMLCite \textit{F. M. Giusto} et al., Physica D 11, 227--238 (1984; Zbl 0583.76022) Full Text: DOI
Nicolaenko, Basil; Scheurer, Bruno Remarks on the Kuramoto-Sivashinsky equation. (English) Zbl 0576.35058 Physica D 12, 391-395 (1984). MSC: 35K55 35Q99 35B35 35B40 PDFBibTeX XMLCite \textit{B. Nicolaenko} and \textit{B. Scheurer}, Physica D 12, 391--395 (1984; Zbl 0576.35058) Full Text: DOI Link
Pöppe, Christoph Construction of solutions of the sine-Gordon equation by means of Fredholm determinants. (English) Zbl 0586.35051 Physica D 9, 103-139 (1983). Reviewer: V.Komkov MSC: 35G10 35K25 35A22 35C10 45B05 45C05 35Q99 PDFBibTeX XMLCite \textit{C. Pöppe}, Physica D 9, 103--139 (1983; Zbl 0586.35051) Full Text: DOI