Liu, Shi-Da; Liu, Shi-Kuo; Fu, Zun-Tao; Zhao, Qiang Spiral solutions of the two-dimensional complex Ginzburg–Landau equation. (English) Zbl 1164.35493 Commun. Theor. Phys. 35, No. 2, 159-161 (2001). MSC: 35Q55 35K55 35K57 PDFBibTeX XMLCite \textit{S.-D. Liu} et al., Commun. Theor. Phys. 35, No. 2, 159--161 (2001; Zbl 1164.35493) Full Text: DOI
Ono, Hiroaki Long vector solitary waves in a dielectric medium. (English) Zbl 1076.35538 J. Phys. Soc. Japan 70, No. 12, 3524-3528 (2001). MSC: 35Q53 78A60 35Q55 PDFBibTeX XMLCite \textit{H. Ono}, J. Phys. Soc. Japan 70, No. 12, 3524--3528 (2001; Zbl 1076.35538) Full Text: DOI
Stepin, S. A.; Arzhanov, A. A. Quasiclassical spectral asymptotics and the Stokes phenomenon for the Weber equation. (English. Russian original) Zbl 1048.34141 Dokl. Math. 63, No. 3, 306-309 (2001); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 378, No. 1, 18-21 (2001). MSC: 34L40 34L20 34M40 PDFBibTeX XMLCite \textit{S. A. Stepin} and \textit{A. A. Arzhanov}, Dokl. Math. 63, No. 3, 18--21 (2001; Zbl 1048.34141); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 378, No. 1, 18--21 (2001)
Plecháč, Petr; Šverák, Vladimír On self-similar singular solutions of the complex Ginzburg-Landau equation. (English) Zbl 1032.35162 Commun. Pure Appl. Math. 54, No. 10, 1215-1242 (2001). MSC: 35Q55 35A20 37K40 PDFBibTeX XMLCite \textit{P. Plecháč} and \textit{V. Šverák}, Commun. Pure Appl. Math. 54, No. 10, 1215--1242 (2001; Zbl 1032.35162) Full Text: DOI arXiv
Vartanian, A. H. Exponentially small asymptotics of solutions to the defocusing nonlinear Schrödinger equation. II. (English) Zbl 0997.35091 J. Phys. A, Math. Gen. 34, No. 46, L647-L655 (2001). MSC: 35Q55 35Q15 37K40 30E20 PDFBibTeX XMLCite \textit{A. H. Vartanian}, J. Phys. A, Math. Gen. 34, No. 46, L647--L655 (2001; Zbl 0997.35091) Full Text: DOI
Marikhin, V. G. Coulomb gas representation for rational solutions of the Painlevé equations. (English. Russian original) Zbl 1017.33010 Theor. Math. Phys. 127, No. 2, 646-663 (2001); translation from Teor. Mat. Fiz. 127, No. 2, 284-303 (2001). MSC: 33E17 35Q55 34L30 37K35 34M55 82C10 PDFBibTeX XMLCite \textit{V. G. Marikhin}, Theor. Math. Phys. 127, No. 2, 646--663 (2001; Zbl 1017.33010); translation from Teor. Mat. Fiz. 127, No. 2, 284--303 (2001) Full Text: DOI
Alber, Mark S.; Camassa, Roberto; Fedorov, Yuri N.; Holm, Darryl D.; Marsden, Jerrold E. The complex geometry of weak piecewise smooth solutions of integrable nonlinear PDE’s of shallow water and Dym type. (English) Zbl 1001.37062 Commun. Math. Phys. 221, No. 1, 197-227 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 37K10 14H70 35Q53 35Q55 37J35 37K20 PDFBibTeX XMLCite \textit{M. S. Alber} et al., Commun. Math. Phys. 221, No. 1, 197--227 (2001; Zbl 1001.37062) Full Text: DOI arXiv
Takáč, P. Bifurcations and vortex formation in the Ginzburg-Landau equations. (English) Zbl 1097.35529 ZAMM, Z. Angew. Math. Mech. 81, No. 8, 523-539 (2001). MSC: 35J60 30E25 35B10 35J20 35Q40 35Q55 81Q15 82D55 PDFBibTeX XMLCite \textit{P. Takáč}, ZAMM, Z. Angew. Math. Mech. 81, No. 8, 523--539 (2001; Zbl 1097.35529) Full Text: DOI
Adler, M.; van Moerbeke, P. Hermitian, symmetric and symplectic random ensembles: PDEs for the distribution of the spectrum. (English) Zbl 1033.82005 Ann. Math. (2) 153, No. 1, 149-189 (2001). Reviewer: Boris V. Loginov (Ulyanovsk) MSC: 82B44 37K60 37N20 34M55 82B31 PDFBibTeX XMLCite \textit{M. Adler} and \textit{P. van Moerbeke}, Ann. Math. (2) 153, No. 1, 149--189 (2001; Zbl 1033.82005) Full Text: DOI arXiv EuDML
Grébert, B.; Kappeler, T. Estimates on periodic and Dirichlet eigenvalues for the Zakharov-Shabat system. (English) Zbl 0982.34073 Asymptotic Anal. 25, No. 3-4, 201-237 (2001); erratum ibid. 29, 183 (2002). Reviewer: Miloslav Znojil (Řež) MSC: 34L15 34L20 37K15 35Q55 34E18 81Q10 81Q15 PDFBibTeX XMLCite \textit{B. Grébert} and \textit{T. Kappeler}, Asymptotic Anal. 25, No. 3--4, 201--237 (2001; Zbl 0982.34073)
Gerdjikov, V. S.; Uzunov, I. M. Adiabatic and non-adiabatic soliton interactions in nonlinear optics. (English) Zbl 0972.78020 Physica D 152-153, 355-362 (2001). MSC: 78A60 35Q60 35Q51 PDFBibTeX XMLCite \textit{V. S. Gerdjikov} and \textit{I. M. Uzunov}, Physica D 152--153, 355--362 (2001; Zbl 0972.78020) Full Text: DOI
Grinevich, P. G. Approximation theorem for the self-focusing nonlinear Schrödinger equation and for the periodic curves in \(\mathbb{R}^3\). (English) Zbl 0981.35082 Physica D 152-153, 20-27 (2001). MSC: 35Q55 37K20 76B47 PDFBibTeX XMLCite \textit{P. G. Grinevich}, Physica D 152--153, 20--27 (2001; Zbl 0981.35082) Full Text: DOI arXiv
Calini, Annalisa M.; Ivey, Thomas A. Connecting geometry, topology and spectra for finite-gap NLS potentials. (English) Zbl 0979.35134 Physica D 152-153, 9-19 (2001). MSC: 35Q55 37K20 76B47 PDFBibTeX XMLCite \textit{A. M. Calini} and \textit{T. A. Ivey}, Physica D 152--153, 9--19 (2001; Zbl 0979.35134) Full Text: DOI
Kaniadakis, G.; Lavagno, A.; Quarati, P.; Scarfone, A. M. Nonlinear gauge transformation for a quantum system obeying an exclusion-inclusion principle. (English) Zbl 0984.81037 J. Nonlinear Math. Phys. 8, Suppl., 161-165 (2001). MSC: 81Q05 35Q55 PDFBibTeX XMLCite \textit{G. Kaniadakis} et al., J. Nonlinear Math. Phys. 8, 161--165 (2001; Zbl 0984.81037) Full Text: DOI
Calini, Annalisa M.; Ivey, Thomas A. Knot types, Floquet spectra, and finite-gap solutions of the vortex filament equation. (English) Zbl 0980.35152 Math. Comput. Simul. 55, No. 4-6, 341-350 (2001). MSC: 35Q55 37K20 37K25 PDFBibTeX XMLCite \textit{A. M. Calini} and \textit{T. A. Ivey}, Math. Comput. Simul. 55, No. 4--6, 341--350 (2001; Zbl 0980.35152) Full Text: DOI arXiv
Dunajski, Maciej; Mason, Lionel J.; Tod, Paul Einstein-Weyl geometry, the dKP equation and twistor theory. (English) Zbl 0990.53052 J. Geom. Phys. 37, No. 1-2, 63-93 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 53C28 32L25 37K25 35Q55 53C25 83C60 PDFBibTeX XMLCite \textit{M. Dunajski} et al., J. Geom. Phys. 37, No. 1--2, 63--93 (2001; Zbl 0990.53052) Full Text: DOI arXiv