Xun, Weikang; Fan, Engui Long time and Painlevé-type asymptotics for the Sasa-Satsuma equation in solitonic space time regions. (English) Zbl 07531822 J. Differ. Equations 329, 89-130 (2022). MSC: 35Q51 35Q53 35Q55 35Q15 37K10 37K15 35C20 35B40 35C08 41A60 34M55 PDF BibTeX XML Cite \textit{W. Xun} and \textit{E. Fan}, J. Differ. Equations 329, 89--130 (2022; Zbl 07531822) Full Text: DOI OpenURL
Ma, Xinxin; Kuang, Yonghui Inverse scattering transform for a nonlocal derivative nonlinear Schrödinger equation. (English. Russian original) Zbl 07483560 Theor. Math. Phys. 210, No. 1, 31-45 (2022); translation from Teor. Mat. Fiz. 210, No. 1, 38-53 (2022). MSC: 81Q05 35Q55 34B10 81U40 35Q15 PDF BibTeX XML Cite \textit{X. Ma} and \textit{Y. Kuang}, Theor. Math. Phys. 210, No. 1, 31--45 (2022; Zbl 07483560); translation from Teor. Mat. Fiz. 210, No. 1, 38--53 (2022) Full Text: DOI OpenURL
Wang, Xiu-Bin; Han, Bo The general fifth-order nonlinear Schrödinger equation with nonzero boundary conditions: inverse scattering transform and multisoliton solutions. (English. Russian original) Zbl 07483559 Theor. Math. Phys. 210, No. 1, 8-30 (2022); translation from Teor. Mat. Fiz. 210, No. 1, 11-37 (2022). MSC: 81Q05 35Q55 81U40 35C08 35Q15 35G31 70H33 81Q80 PDF BibTeX XML Cite \textit{X.-B. Wang} and \textit{B. Han}, Theor. Math. Phys. 210, No. 1, 8--30 (2022; Zbl 07483559); translation from Teor. Mat. Fiz. 210, No. 1, 11--37 (2022) Full Text: DOI OpenURL
Qiu, DeQin; Lv, Cong Riemann-Hilbert approach and \(N\)-soliton solutions of the generalized mixed nonlinear Schrödinger equation with nonzero boundary conditions. (English. Russian original) Zbl 1482.81014 Theor. Math. Phys. 209, No. 2, 1552-1578 (2021); translation from Teor. Mat. Fiz. 209, No. 2, 274-303 (2021). MSC: 81Q05 35Q55 35Q15 35C08 81U40 81U20 35P30 PDF BibTeX XML Cite \textit{D. Qiu} and \textit{C. Lv}, Theor. Math. Phys. 209, No. 2, 1552--1578 (2021; Zbl 1482.81014); translation from Teor. Mat. Fiz. 209, No. 2, 274--303 (2021) Full Text: DOI OpenURL
Segata, Jun-Ichi Asymptotic behavior in time of solutions to complex-valued nonlinear Klein-Gordon equation in one space dimension. (English) Zbl 1473.35058 Hokkaido Math. J. 50, No. 2, 187-205 (2021). MSC: 35B40 35L15 35L71 81Q05 PDF BibTeX XML Cite \textit{J.-I. Segata}, Hokkaido Math. J. 50, No. 2, 187--205 (2021; Zbl 1473.35058) Full Text: DOI OpenURL
Wang, Zi-Yi; Tian, Shou-Fu; Zhang, Xiao-Fan Riemann-Hilbert problem for the Kundu-type nonlinear Schrödinger equation with \(N\) distinct arbitrary-order poles. (English. Russian original) Zbl 1467.81041 Theor. Math. Phys. 207, No. 1, 415-433 (2021); translation from Teor. Mat. Fiz. 207, No. 1, 23-43 (2021). MSC: 81Q05 35Q55 35G30 35Q15 35C08 PDF BibTeX XML Cite \textit{Z.-Y. Wang} et al., Theor. Math. Phys. 207, No. 1, 415--433 (2021; Zbl 1467.81041); translation from Teor. Mat. Fiz. 207, No. 1, 23--43 (2021) Full Text: DOI OpenURL
Geng, Xianguo; Wang, Kedong; Chen, Mingming Long-time asymptotics for the spin-1 Gross-Pitaevskii equation. (English) Zbl 1466.35326 Commun. Math. Phys. 382, No. 1, 585-611 (2021). MSC: 35Q55 35Q15 35A22 35P25 35B40 35C20 30E25 PDF BibTeX XML Cite \textit{X. Geng} et al., Commun. Math. Phys. 382, No. 1, 585--611 (2021; Zbl 1466.35326) Full Text: DOI OpenURL
Masaki, Satoshi A survey on long range scattering for Schrödinger equation and Klein-Gordon equation with critical nonlinearity of non-polynomial type. (English) Zbl 1455.35238 RIMS Kôkyûroku Bessatsu B82, 103-135 (2020). MSC: 35Q55 35P25 81Q05 81U99 PDF BibTeX XML Cite \textit{S. Masaki}, RIMS Kôkyûroku Bessatsu B82, 103--135 (2020; Zbl 1455.35238) Full Text: Link OpenURL
Romanov, V. G. Phaseless inverse problems for Schrödinger, Helmholtz, and Maxwell equations. (English. Russian original) Zbl 1450.81059 Comput. Math. Math. Phys. 60, No. 6, 1045-1062 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 6, 1074-1092 (2020). MSC: 81U40 81Q05 35J05 35Q61 35R30 81-02 PDF BibTeX XML Cite \textit{V. G. Romanov}, Comput. Math. Math. Phys. 60, No. 6, 1045--1062 (2020; Zbl 1450.81059); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 6, 1074--1092 (2020) Full Text: DOI OpenURL
Sasaki, Hironobu The scattering problem for the three-dimensional cubic nonlinear Klein-Gordon equation with rapidly decreasing input data. (English) Zbl 1436.35271 J. Differ. Equations 268, No. 12, 7774-7802 (2020). MSC: 35P25 35L70 81Q05 PDF BibTeX XML Cite \textit{H. Sasaki}, J. Differ. Equations 268, No. 12, 7774--7802 (2020; Zbl 1436.35271) Full Text: DOI OpenURL
Takhtajan, Leon A.; Alekseev, Anton Yu.; Aref’eva, Irina Ya.; Semenov-Tian-Shansky, Michael A.; Sklyanin, Evgeny K.; Smirnov, Fedor A.; Shatashvili, Samson L. Scientific heritage of L. D. Faddeev. Survey of papers. (English. Russian original) Zbl 1396.81008 Russ. Math. Surv. 72, No. 6, 977-1081 (2017); translation from Usp. Mat. Nauk 72, No. 6, xx (2017). MSC: 81-03 01A60 01A70 16T25 17B37 35J10 35P25 35Q53 35Q55 37K15 58B32 58J52 70S15 81R50 81S40 81T10 81T13 81T50 81T70 81U40 82B23 82C23 PDF BibTeX XML Cite \textit{L. A. Takhtajan} et al., Russ. Math. Surv. 72, No. 6, 977--1081 (2017; Zbl 1396.81008); translation from Usp. Mat. Nauk 72, No. 6, xx (2017) Full Text: DOI OpenURL
Lakshtanov, Evgeny; Vainberg, Boris Recovery of \(L^p\)-potential in the plane. (English) Zbl 1375.35121 J. Inverse Ill-Posed Probl. 25, No. 5, 633-651 (2017). MSC: 35J10 30E25 35P25 35Q15 35R30 35Q53 PDF BibTeX XML Cite \textit{E. Lakshtanov} and \textit{B. Vainberg}, J. Inverse Ill-Posed Probl. 25, No. 5, 633--651 (2017; Zbl 1375.35121) Full Text: DOI arXiv OpenURL
Durmagambetov, Asset Global estimation of the Cauchy problem solutions’ and blow up the Navier-Stokes equation. (English) Zbl 1378.35216 Eur. J. Pure Appl. Math. 10, No. 4, 763-785 (2017). MSC: 35Q30 35B44 35A02 42A38 PDF BibTeX XML Cite \textit{A. Durmagambetov}, Eur. J. Pure Appl. Math. 10, No. 4, 763--785 (2017; Zbl 1378.35216) Full Text: Link OpenURL
Hasanov Hasanoğlu, Alemdar; Romanov, Vladimir G. Introduction to inverse problems for differential equations. (English) Zbl 1385.65053 Cham: Springer (ISBN 978-3-319-62796-0/hbk; 978-3-319-62797-7/ebook). xiii, 261 p. (2017). Reviewer: Robert Plato (Siegen) MSC: 65M32 65R20 35-02 34A55 35R30 44A12 47A52 47J06 47J25 65N21 78A46 80A23 35Q61 65-02 65J22 65J20 PDF BibTeX XML Cite \textit{A. Hasanov Hasanoğlu} and \textit{V. G. Romanov}, Introduction to inverse problems for differential equations. Cham: Springer (2017; Zbl 1385.65053) Full Text: DOI OpenURL
Gérard, Patrick; Grellier, Sandrine The cubic Szegő equation and Hankel operators. (English) Zbl 1410.37001 Astérisque 389. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-854-1/pbk). vi, 113 p. (2017). MSC: 37-02 37K15 30J10 35F20 35Q55 35R11 47B35 PDF BibTeX XML Cite \textit{P. Gérard} and \textit{S. Grellier}, The cubic Szegő equation and Hankel operators. Paris: Société Mathématique de France (SMF) (2017; Zbl 1410.37001) Full Text: arXiv OpenURL
Lakshtanov, Evgeny L.; Novikov, Roman G.; Vainberg, Boris R. A global Riemann-Hilbert problem for two-dimensional inverse scattering at fixed energy. (English) Zbl 1375.35120 Rend. Ist. Mat. Univ. Trieste 48, 21-47 (2016). MSC: 35J10 30E25 35P25 35Q15 35R30 35Q53 PDF BibTeX XML Cite \textit{E. L. Lakshtanov} et al., Rend. Ist. Mat. Univ. Trieste 48, 21--47 (2016; Zbl 1375.35120) Full Text: DOI arXiv OpenURL
Kopylova, Elena; Teschl, Gerald Dispersion estimates for one-dimensional discrete Dirac equations. (English) Zbl 1330.35366 J. Math. Anal. Appl. 434, No. 1, 191-208 (2016). MSC: 35Q41 35P25 81Q05 PDF BibTeX XML Cite \textit{E. Kopylova} and \textit{G. Teschl}, J. Math. Anal. Appl. 434, No. 1, 191--208 (2016; Zbl 1330.35366) Full Text: DOI arXiv OpenURL
Blancarte, Herminio Determination of a linear differential equation on half-line and its spectral distribution function from the others related. (English) Zbl 1337.34020 Differ. Equ. Appl. 7, No. 4, 469-488 (2015). MSC: 34A55 34B24 34L40 34L25 PDF BibTeX XML Cite \textit{H. Blancarte}, Differ. Equ. Appl. 7, No. 4, 469--488 (2015; Zbl 1337.34020) Full Text: DOI Link OpenURL
Khmelnytskaya, Kira V.; Kravchenko, Vladislav V.; Rosu, Haret C. Eigenvalue problems, spectral parameter power series, and modern applications. (English) Zbl 1347.34128 Math. Methods Appl. Sci. 38, No. 10, 1945-1969 (2015). Reviewer: Manfred Möller (Johannesburg) MSC: 34L16 34B09 34B24 34B40 34L25 PDF BibTeX XML Cite \textit{K. V. Khmelnytskaya} et al., Math. Methods Appl. Sci. 38, No. 10, 1945--1969 (2015; Zbl 1347.34128) Full Text: DOI arXiv OpenURL
Agaltsov, A. D.; Novikov, R. G. Riemann-Hilbert problem approach for two-dimensional flow inverse scattering. (English) Zbl 1305.81133 J. Math. Phys. 55, No. 10, 103502, 25 p. (2014). Reviewer: Elena V. Tabarintseva (Chelyabinsk) MSC: 81U40 35R30 35P25 35G35 35Q40 35Q15 76Q05 81Q05 PDF BibTeX XML Cite \textit{A. D. Agaltsov} and \textit{R. G. Novikov}, J. Math. Phys. 55, No. 10, 103502, 25 p. (2014; Zbl 1305.81133) Full Text: DOI OpenURL
Krupchyk, Katsiaryna Inverse transmission problems for magnetic Schrödinger operators. (English) Zbl 1303.35050 Int. Math. Res. Not. 2014, No. 1, 65-164 (2014). Reviewer: Mohan Lal Mehra (Bonn) MSC: 35P25 35R30 35J10 78A46 35Q60 PDF BibTeX XML Cite \textit{K. Krupchyk}, Int. Math. Res. Not. 2014, No. 1, 65--164 (2014; Zbl 1303.35050) Full Text: DOI arXiv OpenURL
Karaman, Özkan; Kosar, Nida P. Continuity of the scattering function and Levinson-type formula of Klein-Gordon equation. (English) Zbl 1284.34128 Math. Methods Appl. Sci. 36, No. 12, 1583-1590 (2013). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 34L25 34L40 34L10 34B07 PDF BibTeX XML Cite \textit{Ö. Karaman} and \textit{N. P. Kosar}, Math. Methods Appl. Sci. 36, No. 12, 1583--1590 (2013; Zbl 1284.34128) Full Text: DOI OpenURL
Buslaev, V. S.; Pozharskii, A. A. Homogenization in the scattering problem. (English. Russian original) Zbl 1271.35058 Funct. Anal. Appl. 44, No. 4, 243-252 (2010); translation from Funkts. Anal. Prilozh. 44, No. 4, 2-13 (2010). MSC: 35P25 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{A. A. Pozharskii}, Funct. Anal. Appl. 44, No. 4, 243--252 (2010; Zbl 1271.35058); translation from Funkts. Anal. Prilozh. 44, No. 4, 2--13 (2010) Full Text: DOI OpenURL
Tovbis, Alexander; Venakides, Stephanos Nonlinear steepest descent asymptotics for semiclassical limit of integrable systems: Continuation in the parameter space. (English) Zbl 1194.35429 Commun. Math. Phys. 295, No. 1, 139-160 (2010). MSC: 35Q55 35P25 30E25 35B60 35C20 30E15 PDF BibTeX XML Cite \textit{A. Tovbis} and \textit{S. Venakides}, Commun. Math. Phys. 295, No. 1, 139--160 (2010; Zbl 1194.35429) Full Text: DOI arXiv OpenURL
Lenells, J.; Fokas, A. S. An integrable generalization of the nonlinear Schrödinger equation on the half-line and solitons. (English) Zbl 1181.35335 Inverse Probl. 25, No. 11, Article ID 115006, 32 p. (2009). MSC: 35R30 35Q55 35P25 81U40 35Q51 30E25 PDF BibTeX XML Cite \textit{J. Lenells} and \textit{A. S. Fokas}, Inverse Probl. 25, No. 11, Article ID 115006, 32 p. (2009; Zbl 1181.35335) Full Text: DOI arXiv OpenURL
De Bonis, M. C.; Mastroianni, G. Nyström method for systems of integral equations on the real semiaxis. (English) Zbl 1171.65097 IMA J. Numer. Anal. 29, No. 3, 632-650 (2009). Reviewer: Hu Chuangan (San Jose) MSC: 65R20 45F15 81Q05 81U40 PDF BibTeX XML Cite \textit{M. C. De Bonis} and \textit{G. Mastroianni}, IMA J. Numer. Anal. 29, No. 3, 632--650 (2009; Zbl 1171.65097) Full Text: DOI OpenURL
Tovbis, Alexander; Venakides, Stephanos Determinant form of the complex phase function of the steepest descent analysis of Riemann-Hilbert problems and its application to the focusing nonlinear Schrödinger equation. (English) Zbl 1175.30039 Int. Math. Res. Not. 2009, No. 11, 2056-2080 (2009). Reviewer: Sergei V. Rogosin (Minsk) MSC: 30E25 35P25 35Q55 30F10 PDF BibTeX XML Cite \textit{A. Tovbis} and \textit{S. Venakides}, Int. Math. Res. Not. 2009, No. 11, 2056--2080 (2009; Zbl 1175.30039) Full Text: DOI OpenURL
Lenells, Jonatan The derivative nonlinear Schrödinger equation on the half-line. (English) Zbl 1161.35503 Physica D 237, No. 23, 3008-3019 (2008). MSC: 35Q55 37K15 30E25 PDF BibTeX XML Cite \textit{J. Lenells}, Physica D 237, No. 23, 3008--3019 (2008; Zbl 1161.35503) Full Text: DOI arXiv OpenURL
Faddeev, Ludwig D.; Takhtajan, Leon A. Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman. Reprint of the 1987 original. (English) Zbl 1111.37001 Classics in Mathematics. Berlin: Springer (ISBN 978-3-540-69843-2/pbk). xiv, 592 p. (2007). Reviewer: Olaf Ninnemann (Berlin) MSC: 37-02 37K15 37K40 37K60 37J35 37K10 37K30 81U40 81Q05 58J50 35Q51 35Q55 35Q58 PDF BibTeX XML Cite \textit{L. D. Faddeev} and \textit{L. A. Takhtajan}, Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman. Reprint of the 1987 original. Berlin: Springer (2007; Zbl 1111.37001) Full Text: DOI OpenURL
Komech, A. I.; Kopylova, E. A.; Kunze, M. Dispersive estimates for 1D discrete Schrödinger and Klein-Gordon equations. (English) Zbl 1121.39015 Appl. Anal. 85, No. 12, 1487-1508 (2006). Reviewer: Shangjiang Guo (Hunan) MSC: 39A12 81Q05 35Q40 34A35 34B45 35B45 35P25 47B36 47B39 47N50 PDF BibTeX XML Cite \textit{A. I. Komech} et al., Appl. Anal. 85, No. 12, 1487--1508 (2006; Zbl 1121.39015) Full Text: DOI OpenURL
Menken, Hamza; Mamedov, Khanlar R. On the inverse problem of the scattering theory for a boundary value problem. (English) Zbl 1106.34059 Mladenov, Ivaïlo (ed.) et al., Proceedings of the 7th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 2–10, 2005. Sofia: Bulgarian Academy of Sciences (ISBN 954-8495-30-9/pbk). 226-236 (2006). Reviewer: Vassilis G. Papanicolaou (Athena) MSC: 34L25 34B40 34L40 PDF BibTeX XML Cite \textit{H. Menken} and \textit{K. R. Mamedov}, in: Proceedings of the 7th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 2--10, 2005. Sofia: Bulgarian Academy of Sciences. 226--236 (2006; Zbl 1106.34059) OpenURL
Shabani, J.; Vyabandi, A. On a new two parameter model of relativistic point interactions in one dimension. (English) Zbl 1120.81301 Mem. Differ. Equ. Math. Phys. 35, 129-146 (2005). MSC: 81Q10 47N50 81Q05 70H40 PDF BibTeX XML Cite \textit{J. Shabani} and \textit{A. Vyabandi}, Mem. Differ. Equ. Math. Phys. 35, 129--146 (2005; Zbl 1120.81301) OpenURL
Williams, P. S.; Simos, T. E. A new family of exponentially fitted methods. (English) Zbl 1051.65080 Math. Comput. Modelling 38, No. 5-6, 571-584 (2003). MSC: 65L10 81Q05 65L06 65L50 34B05 PDF BibTeX XML Cite \textit{P. S. Williams} and \textit{T. E. Simos}, Math. Comput. Modelling 38, No. 5--6, 571--584 (2003; Zbl 1051.65080) Full Text: DOI OpenURL
Vartanian, A. H. Long-time asymptotics of solutions to the Cauchy problem for the defocusing nonlinear Schrödinger equation with finite-density initial data. II: Dark solitons on continua. (English) Zbl 1080.35060 Math. Phys. Anal. Geom. 5, No. 4, 319-413 (2002). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 35Q15 37K40 35Q55 37K15 30E20 30E25 81U40 PDF BibTeX XML Cite \textit{A. H. Vartanian}, Math. Phys. Anal. Geom. 5, No. 4, 319--413 (2002; Zbl 1080.35060) Full Text: DOI arXiv OpenURL
Bourgain, Jean \(\Lambda_p\)-sets in analysis: Results, problems and related aspects. (English) Zbl 1016.43004 Johnson, W. B. (ed.) et al., Handbook of the geometry of Banach spaces. Volume 1. Amsterdam: Elsevier. 195-232 (2001). Reviewer: Daniel Li (Lens) MSC: 43A46 46B09 11B05 11L40 11M41 35Q55 42B20 42B25 42C15 43A50 58J50 PDF BibTeX XML Cite \textit{J. Bourgain}, in: Handbook of the geometry of Banach spaces. Volume 1. Amsterdam: Elsevier. 195--232 (2001; Zbl 1016.43004) OpenURL
Mil’nikov, Gennady V.; Nakamura, Hiroki; Horáček, Jiri Stable and efficient evaluation of Green’s function in scattering problem. (English) Zbl 0980.65074 Comput. Phys. Commun. 135, No. 3, 278-292 (2001). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65L10 34B27 34L40 81Q05 PDF BibTeX XML Cite \textit{G. V. Mil'nikov} et al., Comput. Phys. Commun. 135, No. 3, 278--292 (2001; Zbl 0980.65074) Full Text: DOI OpenURL
Hayashi, Nakao; Naumkin, Pavel I. Scattering theory and large time asymptotics of solutions to the Hartree type equations with a long range potential. (English) Zbl 0985.35083 Hokkaido Math. J. 30, No. 1, 137-161 (2001). Reviewer: Boris A.Malomed (Tel Aviv) MSC: 35Q55 35P25 35B40 45E10 PDF BibTeX XML Cite \textit{N. Hayashi} and \textit{P. I. Naumkin}, Hokkaido Math. J. 30, No. 1, 137--161 (2001; Zbl 0985.35083) Full Text: DOI OpenURL
Miller, Luc Refraction of high-frequency waves density by sharp interfaces and semiclassical measures at the boundary. (English) Zbl 0963.35022 J. Math. Pures Appl. (9) 79, No. 3, 227-269 (2000). Reviewer: Otto Liess (Bologna) MSC: 35B40 78A45 81Q20 35A27 PDF BibTeX XML Cite \textit{L. Miller}, J. Math. Pures Appl. (9) 79, No. 3, 227--269 (2000; Zbl 0963.35022) Full Text: DOI OpenURL
Kurasov, P.; Packalén, K. Inverse scattering transformation for positons. (English) Zbl 0930.35157 J. Phys. A, Math. Gen. 32, No. 7, 1269-1278 (1999). MSC: 35Q53 81U40 37K15 PDF BibTeX XML Cite \textit{P. Kurasov} and \textit{K. Packalén}, J. Phys. A, Math. Gen. 32, No. 7, 1269--1278 (1999; Zbl 0930.35157) Full Text: DOI Link OpenURL
Chen, Roger On global Schrödinger kernel estimate and eigenvalue problem. (English) Zbl 0894.35077 Math. Z. 227, No. 1, 69-81 (1998). Reviewer: M.Perelmuter (Kiev) MSC: 35P15 58J50 35J10 35B05 PDF BibTeX XML Cite \textit{R. Chen}, Math. Z. 227, No. 1, 69--81 (1998; Zbl 0894.35077) Full Text: DOI OpenURL
Yagle, Andrew E. Inverse scattering for time-varying one-dimensional layered media: Algorithms and applications. (English) Zbl 0880.65104 Inverse Probl. 13, No. 3, 867-881 (1997). Reviewer: J.Vaníček (Praha) MSC: 65Z05 35Q60 35Q40 35R30 81U40 PDF BibTeX XML Cite \textit{A. E. Yagle}, Inverse Probl. 13, No. 3, 867--881 (1997; Zbl 0880.65104) Full Text: DOI Link OpenURL
Chadan, Khosrow; Colton, David; Päivärinta, Lassi; Rundell, William An introduction to inverse scattering and inverse spectral problems. (English) Zbl 0870.35121 SIAM Monographs on Mathematical Modeling and Computation, 2. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. x, 198 p. (1997). Reviewer: R.G.Newton (Bloomington) MSC: 35R30 81U40 34-01 81-01 35-01 34A55 34L25 35P25 47A40 PDF BibTeX XML Cite \textit{K. Chadan} et al., An introduction to inverse scattering and inverse spectral problems. Philadelphia, PA: SIAM (1997; Zbl 0870.35121) Full Text: DOI OpenURL
Fokas, A. S. Integrability and beyond. (English. Russian original) Zbl 0932.37061 J. Math. Sci., New York 94, No. 4, 1593-1599 (1999); translation from Zap. Nauchn. Semin. POMI 235, 235-244 (1996). MSC: 37K15 37K20 37K10 81Q05 PDF BibTeX XML Cite \textit{A. S. Fokas}, J. Math. Sci., New York 94, No. 4, 1 (1996; Zbl 0932.37061); translation from Zap. Nauchn. Semin. POMI 235, 235--244 (1996) Full Text: DOI EuDML OpenURL
Desaix, M.; Anderson, D.; Lisak, M.; Quiroga-Teixeiro, M. L. An approximation procedure for the Zakharov-Shabat scattering problem for real single-humped potentials. (English) Zbl 0896.35124 J. Phys. A, Math. Gen. 29, No. 10, 2493-2498 (1996). MSC: 35Q55 81U05 35R30 PDF BibTeX XML Cite \textit{M. Desaix} et al., J. Phys. A, Math. Gen. 29, No. 10, 2493--2498 (1996; Zbl 0896.35124) Full Text: DOI OpenURL
Boutet de Monvel, A.; Marchenko, A.; Pastur, L. The multistability in the stationary scattering problem for a nonlinear mean-field model. (English) Zbl 0853.35099 Mat. Fiz. Anal. Geom. 2, No. 3-4, 296-305 (1995). Reviewer: L.A.Sakhnovich (Odessa) MSC: 35Q40 35P25 35L05 81U05 PDF BibTeX XML Cite \textit{A. Boutet de Monvel} et al., Mat. Fiz. Anal. Geom. 2, No. 3--4, 296--305 (1995; Zbl 0853.35099) OpenURL
Nachtigal, N. M.; Shelton, W. A.; Stocks, G. M.; Nicholson, D. M. C.; Wang, Y. Integrating the QMR method with first principles material science application code. (English) Zbl 0836.65131 Bailey, David H. (ed.) et al., Proceedings of the seventh SIAM conference on parallel processing for scientific computing, San Francisco, CA (USA), February 15-17, 1995. Philadelphia, PA: SIAM. 213-218 (1995). MSC: 65Z05 65N38 35Q55 PDF BibTeX XML Cite \textit{N. M. Nachtigal} et al., in: Proceedings of the seventh SIAM conference on parallel processing for scientific computing, San Francisco, CA (USA), February 15-17, 1995. Philadelphia, PA: SIAM. 213--218 (1995; Zbl 0836.65131) OpenURL
Dupuy, F. Examples of underdetermined scattering problems. (English) Zbl 0835.65132 J. Phys. A, Math. Gen. 27, No. 6, 2093-2112 (1994). MSC: 65N38 65R20 35J10 81Q05 81U40 35C15 45E10 PDF BibTeX XML Cite \textit{F. Dupuy}, J. Phys. A, Math. Gen. 27, No. 6, 2093--2112 (1994; Zbl 0835.65132) Full Text: DOI Link OpenURL
Zhang, L.; Jeffrey, A. Stability of the Cauchy problem for the Korteweg-de Vries equation. I. (English) Zbl 0798.35137 Appl. Anal. 50, No. 1-2, 49-72 (1993). Reviewer: L.Zhang (Shanxi) MSC: 35Q53 35B35 35R30 35P25 PDF BibTeX XML Cite \textit{L. Zhang} and \textit{A. Jeffrey}, Appl. Anal. 50, No. 1--2, 49--72 (1993; Zbl 0798.35137) Full Text: DOI OpenURL
Ramm, A. G.; Stefanov, P. Inverse scattering at fixed energy for exponentially decreasing potentials. (English) Zbl 0805.35158 Päivärinta, L. (ed.) et al., Inverse problems in mathematical physics. Proceedings of the Lapland conference on inverse problems held at Saariselkä, Finland, 14-20 June 1992. Berlin: Springer-Verlag. Lect. Notes Phys. 422, 189-192 (1993). Reviewer: H.-D.Alber (Darmstadt) MSC: 35R30 35P25 81U05 47A40 PDF BibTeX XML Cite \textit{A. G. Ramm} and \textit{P. Stefanov}, Lect. Notes Phys. 422, 189--192 (1993; Zbl 0805.35158) OpenURL
Nawa, Hayato; Ozawa, Tohru Nonlinear scattering with nonlocal interaction. (English) Zbl 0748.35046 Commun. Math. Phys. 146, No. 2, 259-275 (1992). MSC: 35Q55 35P25 35B40 35P30 PDF BibTeX XML Cite \textit{H. Nawa} and \textit{T. Ozawa}, Commun. Math. Phys. 146, No. 2, 259--275 (1992; Zbl 0748.35046) Full Text: DOI OpenURL
Buslaev, V. S.; Perel’man, G. S. Nonlinear scattering: The states which are close to a soliton. (English. Russian original) Zbl 0836.35146 J. Math. Sci., New York 77, No. 3, 3161-3169 (1995); translation from Zap. Nauchn. Semi. POMI 200, 38-50 (1992). MSC: 35Q55 35P25 81U05 35Q51 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{G. S. Perel'man}, J. Math. Sci., New York 77, No. 1, 38--50, 70 (1992; Zbl 0836.35146); translation from Zap. Nauchn. Semi. POMI 200, 38--50 (1992) Full Text: DOI OpenURL
Buslaev, V. S.; Perel’man, G. S. Nonlinear scattering: The states which are close to a soliton. (Russian. English summary) Zbl 0799.35197 Zap. Nauchn. Semin. POMI 200, 38-50, 70 (1992). MSC: 35Q55 35P25 81U05 35Q51 PDF BibTeX XML Full Text: EuDML OpenURL
Leforestier, C.; Bisseling, R. H.; Cerjan, C.; Feit, M. D.; Friesner, R.; Guldberg, A.; Hammerich, A.; Jolicard, G.; Karrlein, W.; Meyer, H.-D.; Lipkin, N.; Roncero, O.; Kosloff, R. A comparison of different propagation schemes for the time dependent Schrödinger equation. (English) Zbl 0731.65110 J. Comput. Phys. 94, No. 1, 59-80 (1991). Reviewer: Z.Dżygadło (Warszawa) MSC: 65Z05 65M12 65M50 81Q05 35Q55 PDF BibTeX XML Cite \textit{C. Leforestier} et al., J. Comput. Phys. 94, No. 1, 59--80 (1991; Zbl 0731.65110) Full Text: DOI OpenURL
Päivärinta, Lassi; Somersalo, Erkki Inversion of discontinuities for the Schrödinger equation in three dimensions. (English) Zbl 0731.35095 SIAM J. Math. Anal. 22, No. 2, 480-499 (1991). Reviewer: N.L.Maria (Turlock) MSC: 35R30 35J10 35P25 81Q05 PDF BibTeX XML Cite \textit{L. Päivärinta} and \textit{E. Somersalo}, SIAM J. Math. Anal. 22, No. 2, 480--499 (1991; Zbl 0731.35095) Full Text: DOI OpenURL
Slavyanov, S. Yu. Asymptotic behaviour of solutions of a one-dimensional Schrödinger equation. (Асимптотика решений одномерного уравнения Шредингера.) (Russian) Zbl 0791.34002 Leningrad: Leningradskiĭ Gosudarstvennyĭ Universitet. 256 p. (1990). Reviewer: David Gurarie (M.R. 92h:34002) MSC: 34-02 34E05 34E20 81Q05 PDF BibTeX XML Cite \textit{S. Yu. Slavyanov}, Асимптотика решений одномерного уравнения Шредингера (Russian). Leningrad: Leningradskij Gosudarstvennyj Universitet (1990; Zbl 0791.34002) OpenURL
Newton, Roger G. Factorizations of the S matrix. (English) Zbl 0734.47048 J. Math. Phys. 31, No. 10, 2414-2424 (1990). MSC: 47N50 81U20 47A68 47A40 PDF BibTeX XML Cite \textit{R. G. Newton}, J. Math. Phys. 31, No. 10, 2414--2424 (1990; Zbl 0734.47048) Full Text: DOI OpenURL
Aktosun, Tuncay; Van der Mee, Cornelis Inverse scattering problem for the 3-D Schrödinger equation and Wiener- Hopf factorization of the scattering operator. (English) Zbl 0724.47043 J. Math. Phys. 31, No. 9, 2172-2180 (1990). MSC: 47N50 81U40 47A68 47A40 PDF BibTeX XML Cite \textit{T. Aktosun} and \textit{C. Van der Mee}, J. Math. Phys. 31, No. 9, 2172--2180 (1990; Zbl 0724.47043) Full Text: DOI OpenURL
Khabibullin, I. T.; Shagalov, A. G. Numerical realization of the inverse scattering method. (English. Russian original) Zbl 0723.65104 Theor. Math. Phys. 83, No. 3, 565-573 (1990); translation from Teor. Mat. Fiz. 83, No. 3, 323-333 (1990). MSC: 65Z05 65M06 35R30 35Q55 PDF BibTeX XML Cite \textit{I. T. Khabibullin} and \textit{A. G. Shagalov}, Theor. Math. Phys. 83, No. 3, 565--573 (1990; Zbl 0723.65104); translation from Teor. Mat. Fiz. 83, No. 3, 323--333 (1990) Full Text: DOI OpenURL
Khabibullin, I. T.; Shagalov, A. G. Numerical realization of a method for the inverse scattering problem. (Russian. English summary) Zbl 0708.65112 Teor. Mat. Fiz. 83, No. 3, 323-333 (1990). Reviewer: L.P.Lebedev MSC: 65Z05 65M06 35R30 35Q55 PDF BibTeX XML Cite \textit{I. T. Khabibullin} and \textit{A. G. Shagalov}, Teor. Mat. Fiz. 83, No. 3, 323--333 (1990; Zbl 0708.65112) OpenURL
Khristov, Evgeni On \(\Lambda\)-operator for the nonlinear Schrödinger equation on the semiaxis. (Russian. English summary) Zbl 0716.47037 God. Sofij. Univ. “Kliment Okhridski”, Fak. Mat. Mekh. 79(1985), No. 2, 283-304 (1989). MSC: 47N50 47A40 81U40 PDF BibTeX XML Cite \textit{E. Khristov}, God. Sofiĭ. Univ., Fak. Mat. Mekh. 79, No. 2, 283--304 (1989; Zbl 0716.47037) OpenURL
Hefter, Ernst F. Inverse methods and solitons as applied to nuclear physics. (English) Zbl 0850.35078 Sabatier, Pierre C. (ed.), Some topics on inverse problems. Proceedings of the 16th workshop on interdisciplinary study of inverse problems, Montpellier, France, Nov 30 - Dec 4, 1987. Singapore: World Scientific. 134-144 (1988). MSC: 35Q40 81Q05 81V35 35R30 35P25 PDF BibTeX XML Cite \textit{E. F. Hefter}, in: Some topics on inverse problems. Proceedings of the 16th workshop on interdisciplinary study of inverse problems, Montpellier, France, Nov 30 - Dec 4, 1987. Singapore: World Scientific. 134--144 (1988; Zbl 0850.35078) OpenURL
Ramm, A. G. Uniqueness theorems for multidimensional inverse problems with unbounded coefficients. (English) Zbl 0676.35081 J. Math. Anal. Appl. 136, No. 2, 568-574 (1988). Reviewer: A.Lorenzi MSC: 35R30 35J10 35J25 35A05 PDF BibTeX XML Cite \textit{A. G. Ramm}, J. Math. Anal. Appl. 136, No. 2, 568--574 (1988; Zbl 0676.35081) Full Text: DOI OpenURL
Bachelot, Alain Problème de Cauchy global pour des systèmes de Dirac-Klein-Gordon. (Global Cauchy problem for Dirac-Klein-Gordon systems). (French) Zbl 0672.35071 Ann. Inst. Henri Poincaré, Phys. Théor. 48, No. 4, 387-422 (1988). MSC: 35Q99 81Q05 35G25 35A05 46E35 PDF BibTeX XML Cite \textit{A. Bachelot}, Ann. Inst. Henri Poincaré, Phys. Théor. 48, No. 4, 387--422 (1988; Zbl 0672.35071) Full Text: Numdam EuDML OpenURL
Tan, D. G. H.; Murch, R. D.; Bates, R. H. T. Algorithmic implementation of a global solution to the scalar inverse scattering problem. (English) Zbl 0659.65128 Inverse Probl. 4, No. 4, 1129-1142 (1988). Reviewer: A.G.Ramm MSC: 65Z05 74J20 81Q05 78A45 35J05 35R30 PDF BibTeX XML Cite \textit{D. G. H. Tan} et al., Inverse Probl. 4, No. 4, 1129--1142 (1988; Zbl 0659.65128) Full Text: DOI OpenURL
Suetomi, Eiichi; Sekimoto, Hiroshi Application of gradient method to eigenvalue problems for neutron diffusion equation. (Japanese. English summary) Zbl 0655.65120 Sparsity and supercomputer, Proc. Symp., Keio/Jap. 1988, Adv. Numer. Methods Large Sparse Sets Linear Equations 4, 17-21 (1988). Reviewer: R.Alicki MSC: 65N25 65F15 35P15 47A40 35P25 PDF BibTeX XML OpenURL
Faddeev, L. D.; Takhtadzhyan, L. A. Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman. (English) Zbl 0632.58004 Springer Series in Soviet Mathematics. Berlin etc.: Springer-Verlag. IX, 592 p.; DM 198.00 (1987). MSC: 37-02 37J35 37K10 37K15 37K40 37K30 37K60 81Q05 81U40 58J50 35Q51 35Q55 35Q58 PDF BibTeX XML OpenURL
Boiti, Marco; Leon, Jérôme J. P.; Manna, Miguel; Pempinelli, Flora On a spectral transform of a KdV-like equation related to the Schrödinger operator in the plane. (English) Zbl 0624.35071 Inverse Probl. 3, 25-36 (1987). MSC: 35Q99 35G25 35J10 37J35 37K10 PDF BibTeX XML Cite \textit{M. Boiti} et al., Inverse Probl. 3, 25--36 (1987; Zbl 0624.35071) Full Text: DOI OpenURL
Takhtadzhyan, L. A.; Faddeev, L. D. Hamiltonian methods in the theory of solitons. (Гамил’тонов подход в теории солитонов.) (Russian) Zbl 0632.58003 Moskva: “Nauka”. Glavnaya Redaktsiya Fiziko-Matematicheskoj Literatury. 528 p. R. 3.00 (GOE 87 A 25546) (1986). Reviewer: Yu.E.Glikhlikh MSC: 37-02 37J35 37K10 37K15 37K40 37K30 37K60 81Q05 81U40 58J50 35Q51 35Q55 35Q58 PDF BibTeX XML OpenURL
Grinevich, P. G.; Novikov, R. G. Analogues of multisoliton potentials for the two-dimensional Schrödinger operator, and a nonlocal Riemann problem. (English. Russian original) Zbl 0616.35071 Sov. Math., Dokl. 33, 9-12 (1986); translation from Dokl. Akad. Nauk SSSR 286, 19-22 (1986). Reviewer: E.Belokolos MSC: 35P25 35R30 35J10 30E25 PDF BibTeX XML Cite \textit{P. G. Grinevich} and \textit{R. G. Novikov}, Sov. Math., Dokl. 33, 9--12 (1986; Zbl 0616.35071); translation from Dokl. Akad. Nauk SSSR 286, 19--22 (1986) OpenURL
Kristensson, Gerhard The one-dimensional inverse scattering problem for an increasing potential. (English) Zbl 0594.47006 J. Math. Phys. 27, 804-815 (1986). MSC: 47A40 81U05 PDF BibTeX XML Cite \textit{G. Kristensson}, J. Math. Phys. 27, 804--815 (1986; Zbl 0594.47006) Full Text: DOI OpenURL
Bruckstein, Alfred M.; Levy, Bernard C.; Kailath, Thomas Differential methods in inverse scattering. (English) Zbl 0586.35079 SIAM J. Appl. Math. 45, 312-335 (1985). MSC: 35Q99 35J10 35A35 35R30 74J25 PDF BibTeX XML Cite \textit{A. M. Bruckstein} et al., SIAM J. Appl. Math. 45, 312--335 (1985; Zbl 0586.35079) Full Text: DOI Link OpenURL
Eyre, D.; Brannigan, M. Spline-Galerkin method for solving some quantum mechanic integral equations. (English) Zbl 0577.65113 Constructive methods for the practical treatment of integral equations, Proc. Conf., Oberwolfach 1984, ISNM 73, 142-149 (1985). Reviewer: N.D.Sengupta MSC: 65Z05 65N30 81U10 81Q05 PDF BibTeX XML OpenURL
Arkad’ev, V. A. Application of inverse scattering method to singular solutions of nonlinear equations. III. (English. Russian original) Zbl 0586.35076 Theor. Math. Phys. 58, 24-32 (1984); translation from Teor. Mat. Fiz. 58, No. 1, 38-49 (1984). MSC: 35Q99 35J10 35B40 35P25 35R30 PDF BibTeX XML Cite \textit{V. A. Arkad'ev}, Theor. Math. Phys. 58, 24--32 (1984; Zbl 0586.35076); translation from Teor. Mat. Fiz. 58, No. 1, 38--49 (1984) Full Text: DOI OpenURL
Ginibre, J.; Velo, G. Non linear evolution equations Cauchy problem and scattering theory. (English) Zbl 0581.35061 Sémin. Goulaouic-Meyer-Schwartz 1983-1984, Équat. dériv. part., Exposé No. 2, 31 p. (1984). Reviewer: J.Voigt MSC: 35Q99 35G25 58D30 PDF BibTeX XML Full Text: Numdam EuDML OpenURL
Iório, Rafael José jun.; Marchesin, Dan On the Schrödinger equation with time-dependent electric fields. (English) Zbl 0573.47005 Proc. R. Soc. Edinb., Sect. A 96, 117-134 (1984). Reviewer: T.Ichinose MSC: 47A40 35P25 PDF BibTeX XML Cite \textit{R. J. Iório jun.} and \textit{D. Marchesin}, Proc. R. Soc. Edinb., Sect. A, Math. 96, 117--134 (1984; Zbl 0573.47005) Full Text: DOI OpenURL
Il’in, E. M. Scattering by noncompact obstacles. (English) Zbl 0544.35074 J. Sov. Math. 27, 2597-2600 (1984). MSC: 35P25 35J10 35L20 PDF BibTeX XML Cite \textit{E. M. Il'in}, J. Sov. Math. 27, 2597--2600 (1984; Zbl 0544.35074) Full Text: DOI OpenURL
Pecher, Hartmut Nonlinear small data scattering for the wave and Klein-Gordon equation. (English) Zbl 0538.35063 Math. Z. 185, 261-270 (1984). Reviewer: M.Idemen MSC: 35P25 35L70 81Q05 35R15 58D25 PDF BibTeX XML Cite \textit{H. Pecher}, Math. Z. 185, 261--270 (1984; Zbl 0538.35063) Full Text: DOI EuDML OpenURL
Il’in, E. M. On the scattering by non-compact obstacles. (Russian) Zbl 0527.35064 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 127, 68-74 (1983). MSC: 35P25 35J10 35L20 PDF BibTeX XML Cite \textit{E. M. Il'in}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 127, 68--74 (1983; Zbl 0527.35064) Full Text: EuDML OpenURL
Jaulent, Marcel; Jean, Cecile Solution of a Schrödinger inverse scattering problem with a polynomial spectral dependence in the potential. (English) Zbl 0521.35013 J. Math. Phys. 23, 258-266 (1982). MSC: 35J10 81Q05 81U05 47A40 35R30 35P25 PDF BibTeX XML Cite \textit{M. Jaulent} and \textit{C. Jean}, J. Math. Phys. 23, 258--266 (1982; Zbl 0521.35013) Full Text: DOI OpenURL
Newton, Roger G. Scattering theory of waves and particles. 2nd ed. (English) Zbl 0496.47011 Texts and Monographs in Physics. New York - Heidelberg - Berlin: Springer-Verlag. XX, 743 p. DM 98.00; $ 43.60 (1982). MSC: 47A40 47-02 81U10 PDF BibTeX XML OpenURL
Berthier, A. M. Spectral theory and wave operators for the Schrödinger equation. (English) Zbl 0484.35002 Research Notes in Mathematics, 71. Boston - London - Melbourne: Pitman Advanced Publishing Program. VI, 306 p. £12.95 (1982). MSC: 35-02 35J10 35P05 35P10 35P25 PDF BibTeX XML OpenURL
Gazeau, J. P. Technique Sturmienne pour le spectre discret de l’équation de Schrödinger. (French) Zbl 0451.35026 J. Phys. A 13, 3605-3617 (1980). MSC: 35J10 35Q99 35P99 81Q05 81Q10 81U10 PDF BibTeX XML Cite \textit{J. P. Gazeau}, J. Phys. A, Math. Gen. 13, 3605--3617 (1980; Zbl 0451.35026) Full Text: DOI OpenURL