Zhao, Peng; Fan, Engui A Riemann-Hilbert method to algebro-geometric solutions of the Korteweg-de Vries equation. (English) Zbl 1522.35454 Physica D 454, Article ID 133879, 24 p. (2023). MSC: 35Q53 35Q15 37K10 33C80 PDFBibTeX XMLCite \textit{P. Zhao} and \textit{E. Fan}, Physica D 454, Article ID 133879, 24 p. (2023; Zbl 1522.35454) Full Text: DOI
Khanmamedov, A. Kh.; Orudzhev, D. G. Inverse scattering problem for the Schrödinger equation with an additional increasing potential on the line. (English. Russian original) Zbl 1516.37099 Theor. Math. Phys. 216, No. 1, 1010-1023 (2023); translation from Teor. Mat. Fiz. 216, No. 1, 117-132 (2023). MSC: 37K15 35Q55 PDFBibTeX XMLCite \textit{A. Kh. Khanmamedov} and \textit{D. G. Orudzhev}, Theor. Math. Phys. 216, No. 1, 1010--1023 (2023; Zbl 1516.37099); translation from Teor. Mat. Fiz. 216, No. 1, 117--132 (2023) Full Text: DOI
Laurens, Thierry Global well-posedness for \(H^{-1}(\mathbb{R})\) perturbations of KdV with exotic spatial asymptotics. (English) Zbl 1509.35266 Commun. Math. Phys. 397, No. 3, 1387-1439 (2023). Reviewer: Piotr Biler (Wrocław) MSC: 35Q53 35B40 35C07 35C08 35B20 35A01 35A02 37K15 37K40 PDFBibTeX XMLCite \textit{T. Laurens}, Commun. Math. Phys. 397, No. 3, 1387--1439 (2023; Zbl 1509.35266) Full Text: DOI arXiv
Egorova, Iryna; Michor, Johanna; Teschl, Gerald Soliton asymptotics for the KdV shock problem via classical inverse scattering. (English) Zbl 1504.35440 J. Math. Anal. Appl. 514, No. 1, Article ID 126251, 24 p. (2022). MSC: 35Q53 35C08 37K15 35B40 PDFBibTeX XMLCite \textit{I. Egorova} et al., J. Math. Anal. Appl. 514, No. 1, Article ID 126251, 24 p. (2022; Zbl 1504.35440) Full Text: DOI arXiv
Monvel, Anne Boutet de; Lenells, Jonatan; Shepelsky, Dmitry The focusing NLS equation with step-like oscillating background: the genus \(3\) sector. (English) Zbl 1508.35156 Commun. Math. Phys. 390, No. 3, 1081-1148 (2022). Reviewer: Hajer Bahouri (Paris) MSC: 35Q55 35Q41 35Q15 35Q53 35B05 35B40 14K25 37K10 33C10 PDFBibTeX XMLCite \textit{A. B. de Monvel} et al., Commun. Math. Phys. 390, No. 3, 1081--1148 (2022; Zbl 1508.35156) Full Text: DOI arXiv
Laurens, Thierry KdV on an incoming tide. (English) Zbl 1479.35737 Nonlinearity 35, No. 1, 343-387 (2022). MSC: 35Q53 35B20 35A01 35A02 37K10 PDFBibTeX XMLCite \textit{T. Laurens}, Nonlinearity 35, No. 1, 343--387 (2022; Zbl 1479.35737) Full Text: DOI arXiv
Guseinov, I. M.; Khanmamedov, Ag. Kh. On the inverse scattering problem for the one-dimensional Schrödinger equation with increasing potential. (English. Russian original) Zbl 1426.34113 Ukr. Math. J. 70, No. 10, 1604-1618 (2019); translation from Ukr. Mat. Zh. 70, No. 10, 1390-1402 (2018). MSC: 34L25 34L40 PDFBibTeX XMLCite \textit{I. M. Guseinov} and \textit{Ag. Kh. Khanmamedov}, Ukr. Math. J. 70, No. 10, 1604--1618 (2019; Zbl 1426.34113); translation from Ukr. Mat. Zh. 70, No. 10, 1390--1402 (2018) Full Text: DOI
Alvarez-Romero, Isaac; Lyubarskii, Yurii Discrete multichannel scattering with step-like potential. (English) Zbl 1410.82013 Baranov, Anton (ed.) et al., 50 years with Hardy spaces. A tribute to Victor Havin. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 261, 97-120 (2018). MSC: 82C20 81U40 47B36 05C50 81U35 82C22 PDFBibTeX XMLCite \textit{I. Alvarez-Romero} and \textit{Y. Lyubarskii}, Oper. Theory: Adv. Appl. 261, 97--120 (2018; Zbl 1410.82013) Full Text: DOI arXiv
Minakov, Alexander Asymptotics of step-like solutions for the Camassa-Holm equation. (English) Zbl 1350.35065 J. Differ. Equations 261, No. 11, 6055-6098 (2016). MSC: 35F25 35B40 35Q15 PDFBibTeX XMLCite \textit{A. Minakov}, J. Differ. Equations 261, No. 11, 6055--6098 (2016; Zbl 1350.35065) Full Text: DOI arXiv
Babich, V. M.; Budylin, A. M.; Dmitrieva, L. A.; Fedotov, A. A.; Komech, A. I.; Levin, S. B.; Perel, M. V.; Rybakina, E. A.; Sukhanov, V. V. On the mathematical work of Vladimir Savel’evich Buslaev. (English. Russian original) Zbl 1304.35001 St. Petersbg. Math. J. 25, No. 2, 151-174 (2014); translation from Algebra Anal. 25, No. 2, 3-36 (2013). MSC: 35-00 01A70 PDFBibTeX XMLCite \textit{V. M. Babich} et al., St. Petersbg. Math. J. 25, No. 2, 151--174 (2014; Zbl 1304.35001); translation from Algebra Anal. 25, No. 2, 3--36 (2013) Full Text: DOI
Ablowitz, Mark J.; Baldwin, Douglas E. Interactions and asymptotics of dispersive shock waves – Korteweg-de Vries equation. (English) Zbl 1428.35441 Phys. Lett., A 377, No. 7, 555-559 (2013). MSC: 35Q53 35B25 35L67 PDFBibTeX XMLCite \textit{M. J. Ablowitz} and \textit{D. E. Baldwin}, Phys. Lett., A 377, No. 7, 555--559 (2013; Zbl 1428.35441) Full Text: DOI arXiv
Egorova, Iryna; Teschl, Gerald On the Cauchy problem for the Korteweg-de Vries equation with steplike finite-gap initial data. II: Perturbations with finite moments. (English) Zbl 1314.35136 J. Anal. Math. 115, 71-101 (2011). MSC: 35Q53 35B15 37K15 37K20 81U40 PDFBibTeX XMLCite \textit{I. Egorova} and \textit{G. Teschl}, J. Anal. Math. 115, 71--101 (2011; Zbl 1314.35136) Full Text: DOI arXiv
Boutet De Monvel, Anne; Egorova, Iryna; Teschl, Gerald Inverse scattering theory for one-dimensional Schrödinger operators with steplike finite-gap potentials. (English) Zbl 1175.47009 J. Anal. Math. 106, 271-316 (2008). Reviewer: Lluís Miquel García Raffi (València) MSC: 47A40 81U40 35Q53 PDFBibTeX XMLCite \textit{A. Boutet De Monvel} et al., J. Anal. Math. 106, 271--316 (2008; Zbl 1175.47009) Full Text: DOI arXiv
Behrndt, Jussi; Malamud, Mark M.; Neidhardt, Hagen Scattering theory for open quantum systems with finite rank coupling. (English) Zbl 1144.81480 Math. Phys. Anal. Geom. 10, No. 4, 313-358 (2007). MSC: 81S25 81U99 47A40 47A55 47B25 PDFBibTeX XMLCite \textit{J. Behrndt} et al., Math. Phys. Anal. Geom. 10, No. 4, 313--358 (2007; Zbl 1144.81480) Full Text: DOI
Kotlyarov, V. P. Inversion of the Miura transformation. (English. Russian original) Zbl 0702.35222 Math. Notes 46, No. 4, 762-769 (1989); translation from Mat. Zametki 46, No. 4, 14-24 (1989). Reviewer: Y. C. Yang MSC: 35Q53 35A30 37K35 34L25 PDFBibTeX XMLCite \textit{V. P. Kotlyarov}, Math. Notes 46, No. 4, 762--769 (1989; Zbl 0702.35222); translation from Mat. Zametki 46, No. 4, 14--24 (1989) Full Text: DOI
Venakides, Stephanos Long time asymptotics of the Korteweg-de Vries equation. (English) Zbl 0619.35084 Trans. Am. Math. Soc. 293, 411-419 (1986). Reviewer: G.Nenciu MSC: 35Q99 35B40 35P25 35R30 76B25 PDFBibTeX XMLCite \textit{S. Venakides}, Trans. Am. Math. Soc. 293, 411--419 (1986; Zbl 0619.35084) Full Text: DOI