Krajenbrink, Alexandre From Painlevé to Zakharov-Shabat and beyond: Fredholm determinants and integro-differential hierarchies. (English) Zbl 1519.37085 J. Phys. A, Math. Theor. 54, No. 3, Article ID 035001, 51 p. (2021). MSC: 37K10 34M55 37J65 PDF BibTeX XML Cite \textit{A. Krajenbrink}, J. Phys. A, Math. Theor. 54, No. 3, Article ID 035001, 51 p. (2021; Zbl 1519.37085) Full Text: DOI arXiv
Urazboev, G. U.; Xoitmetov, U. A.; Babadjanova, A. K. Integration of the matrix modified Korteweg-de Vries equation with an integral-type source. (English. Russian original) Zbl 1441.35214 Theor. Math. Phys. 203, No. 3, 734-746 (2020); translation from Teor. Mat. Fiz. 203, No. 3, 351-364 (2020). MSC: 35Q53 35Q55 37K15 81U40 PDF BibTeX XML Cite \textit{G. U. Urazboev} et al., Theor. Math. Phys. 203, No. 3, 734--746 (2020; Zbl 1441.35214); translation from Teor. Mat. Fiz. 203, No. 3, 351--364 (2020) Full Text: DOI
Baik, Jinho; Bothner, Thomas The largest real eigenvalue in the real Ginibre ensemble and its relation to the Zakharov-Shabat system. (English) Zbl 1434.60018 Ann. Appl. Probab. 30, No. 1, 460-501 (2020). MSC: 60B20 15B52 45M05 60G70 PDF BibTeX XML Cite \textit{J. Baik} and \textit{T. Bothner}, Ann. Appl. Probab. 30, No. 1, 460--501 (2020; Zbl 1434.60018) Full Text: DOI arXiv Euclid
Grahovski, G. G.; Mustafa, J. I.; Susanto, H. Nonlocal reductions of the multicomponent nonlinear Schrödinger equation on symmetric spaces. (English. Russian original) Zbl 1405.37077 Theor. Math. Phys. 197, No. 1, 1430-1450 (2018); translation from Teor. Mat. Fiz. 197, No. 1, 45-67 (2018). MSC: 37K10 35Q55 35Q15 37K15 PDF BibTeX XML Cite \textit{G. G. Grahovski} et al., Theor. Math. Phys. 197, No. 1, 1430--1450 (2018; Zbl 1405.37077); translation from Teor. Mat. Fiz. 197, No. 1, 45--67 (2018) Full Text: DOI arXiv
Fujiié, Setsuro; Wittsten, Jens Quantization conditions of eigenvalues for semiclassical Zakharov-Shabat systems on the circle. (English) Zbl 1400.34138 Discrete Contin. Dyn. Syst. 38, No. 8, 3851-3873 (2018). Reviewer: Rodica Luca (Iaşi) MSC: 34L40 81Q20 34L15 34L20 PDF BibTeX XML Cite \textit{S. Fujiié} and \textit{J. Wittsten}, Discrete Contin. Dyn. Syst. 38, No. 8, 3851--3873 (2018; Zbl 1400.34138) Full Text: DOI arXiv
Busse Martines, Theresa N. Generalized inverse scattering transform for the nonlinear schrodinger equation for bound states with higher multiplicities. (English) Zbl 1375.35477 Electron. J. Differ. Equ. 2017, Paper No. 179, 15 p. (2017). MSC: 35Q55 37K15 35Q51 PDF BibTeX XML Cite \textit{T. N. Busse Martines}, Electron. J. Differ. Equ. 2017, Paper No. 179, 15 p. (2017; Zbl 1375.35477) Full Text: Link
Fermo, L.; van der Mee, C.; Seatzu, S. Scattering data computation for the Zakharov-Shabat system with non-smooth potentials. (English) Zbl 1372.65265 Appl. Numer. Math. 116, 195-203 (2017). MSC: 65M38 35Q55 PDF BibTeX XML Cite \textit{L. Fermo} et al., Appl. Numer. Math. 116, 195--203 (2017; Zbl 1372.65265) Full Text: DOI
Fermo, L.; van der Mee, C.; Seatzu, S. Scattering data computation for the Zakharov-Shabat system. (English) Zbl 1354.65208 Calcolo 53, No. 3, 487-520 (2016). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65M99 35P25 35Q55 PDF BibTeX XML Cite \textit{L. Fermo} et al., Calcolo 53, No. 3, 487--520 (2016; Zbl 1354.65208) Full Text: DOI arXiv
Kravchenko, Vladislav V.; Torba, Sergii M.; Velasco-García, Ulises Spectral parameter power series for Sturm-Liouville equations with a potential polynomially dependent on the spectral parameter and Zakharov-Shabat systems. (English) Zbl 1328.34024 J. Math. Phys. 56, No. 7, 073508, 20 p. (2015). Reviewer: Meirong Zhang (Beijing) MSC: 34B24 34L40 PDF BibTeX XML Cite \textit{V. V. Kravchenko} et al., J. Math. Phys. 56, No. 7, 073508, 20 p. (2015; Zbl 1328.34024) Full Text: DOI arXiv
van der Mee, Cornelis Time-evolution-proof scattering data for the focusing and defocusing Zakharov-Shabat systems. (English) Zbl 1420.35385 J. Nonlinear Math. Phys. 21, No. 2, 265-277 (2014). MSC: 35Q55 35R30 PDF BibTeX XML Cite \textit{C. van der Mee}, J. Nonlinear Math. Phys. 21, No. 2, 265--277 (2014; Zbl 1420.35385) Full Text: DOI
Demontis, Francesco; van der Mee, Cornelis Characterization of scattering data for the AKNS system. (English) Zbl 1305.35098 Acta Appl. Math. 131, No. 1, 29-47 (2014). MSC: 35P25 37K15 35Q55 35R30 PDF BibTeX XML Cite \textit{F. Demontis} and \textit{C. van der Mee}, Acta Appl. Math. 131, No. 1, 29--47 (2014; Zbl 1305.35098) Full Text: DOI
Gerdjikov, Vladimir S.; Yanovski, Alexandar B. On soliton equations with \(\mathbb{Z}_h\) and \(\mathbb{D}_h\) reductions: conservation laws and generating operators. (English) Zbl 1293.35268 J. Geom. Symmetry Phys. 31, 57-92 (2013). MSC: 35Q51 37K15 17B80 35Q15 PDF BibTeX XML Cite \textit{V. S. Gerdjikov} and \textit{A. B. Yanovski}, J. Geom. Symmetry Phys. 31, 57--92 (2013; Zbl 1293.35268) Full Text: DOI Euclid
Yanovski, Alexandar Recursion operators and expansions over adjoint solutions for the Caudrey-Beals-Coifman system with \(\mathbb Z_P\) reductions of Mikhailov type. (English) Zbl 1293.35271 J. Geom. Symmetry Phys. 30, 105-120 (2013). MSC: 35Q51 37K10 35Q55 PDF BibTeX XML Cite \textit{A. Yanovski}, J. Geom. Symmetry Phys. 30, 105--120 (2013; Zbl 1293.35271)
Suslov, Sergei K. On integrability of nonautonomous nonlinear Schrödinger equations. (English) Zbl 1291.35364 Proc. Am. Math. Soc. 140, No. 9, 3067-3082 (2012). MSC: 35Q55 35Q51 35P30 81Q05 PDF BibTeX XML Cite \textit{S. K. Suslov}, Proc. Am. Math. Soc. 140, No. 9, 3067--3082 (2012; Zbl 1291.35364) Full Text: DOI arXiv
Yanovski, A. B. On the recursion operators for the Gerdjikov, Mikhailov, and Valchev system. (English) Zbl 1272.35166 J. Math. Phys. 52, No. 8, 082703, 14 p. (2011). MSC: 35Q51 PDF BibTeX XML Cite \textit{A. B. Yanovski}, J. Math. Phys. 52, No. 8, 082703, 14 p. (2011; Zbl 1272.35166) Full Text: DOI
Yanovski, Alexander B. Geometric interpretation of the recursion operators for the generalized Zakharov-Shabat system in pole gauge on the Lie algebra \(A_2\). (English) Zbl 1235.35238 J. Geom. Symmetry Phys. 23, 97-111 (2011). MSC: 35Q51 37K15 35C08 17B81 PDF BibTeX XML Cite \textit{A. B. Yanovski}, J. Geom. Symmetry Phys. 23, 97--111 (2011; Zbl 1235.35238)
Demontis, F.; van der Mee, C. Wave operators for defocusing matrix Zakharov-Shabat systems with potentials nonvanishing at infinity. (English) Zbl 1224.35304 Serdica Math. J. 36, No. 3, 265-284 (2010). MSC: 35P25 47A40 81Q10 PDF BibTeX XML Cite \textit{F. Demontis} and \textit{C. van der Mee}, Serdica Math. J. 36, No. 3, 265--284 (2010; Zbl 1224.35304)
Gerdjikov, Vladimir S.; Mikhailov, Alexander V.; Valchev, Tihomir I. Recursion operators and reductions of integrable equations on symmetric spaces. (English) Zbl 1217.37065 J. Geom. Symmetry Phys. 20, 1-34 (2010). MSC: 37K15 35Q55 82B40 PDF BibTeX XML Cite \textit{V. S. Gerdjikov} et al., J. Geom. Symmetry Phys. 20, 1--34 (2010; Zbl 1217.37065)
Aktosun, Tuncay; van der Mee, Cornelis Darboux transformation for the NLS equation. (English) Zbl 1218.45005 Ma, Wen-Xiu (ed.) et al., Nonlinear and modern mathematical physics. Proceedings of the 1st international workshop held in Beijing, China, July 15–21, 2009. Melville, NY: American Institute of Physics (ISBN 978-0-7354-0755-8/pbk). AIP Conference Proceedings 1212, 254-263 (2010). MSC: 45E10 35Q55 34L05 PDF BibTeX XML Cite \textit{T. Aktosun} and \textit{C. van der Mee}, AIP Conf. Proc. 1212, 254--263 (2010; Zbl 1218.45005)
Valchev, Tihomir On generalized Fourier transform for Kaup-Kupershmidt type equations. (English) Zbl 1203.37113 J. Geom. Symmetry Phys. 19, 73-86 (2010). MSC: 37K10 35Q53 37K15 37K30 PDF BibTeX XML Cite \textit{T. Valchev}, J. Geom. Symmetry Phys. 19, 73--86 (2010; Zbl 1203.37113)
Yang, Jianke Nonlinear waves in integrable and nonintegrable systems. (English) Zbl 1234.35006 Mathematical Modeling and Computation 16. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-898717-05-1/pbk; 978-0-89871-968-0/ebook). xxvi, 430 p. (2010). Reviewer: Georg Hebermehl (Berlin) MSC: 35-02 37-02 65-02 35Q55 35Q41 35Q51 35J10 35P10 37K10 37K15 65N25 65N35 37K40 78A60 82C10 PDF BibTeX XML Cite \textit{J. Yang}, Nonlinear waves in integrable and nonintegrable systems. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2010; Zbl 1234.35006) Full Text: DOI
Klaus, Martin On the eigenvalues of the Lax operator for the matrix-valued AKNS system. (English) Zbl 1208.34141 Ball, Joseph A. (ed.) et al., Topics in operator theory. Volume 2: Systems and mathematical physics. Proceedings of the 19th international workshop on operator theory and applications (IWOTA), College of William and Mary, Williamsburg, VA, USA, July 22–26, 2008. A tribute to Israel Gohberg on the occasion of his 80th birthday. Basel: Birkhäuser (ISBN 978-3-0346-0160-3/hbk; 978-3-0346-0163-4/set; 978-3-0346-0161-0/ebook). Operator Theory: Advances and Applications 203, 289-323 (2010). Reviewer: Mihai Pascu (Bucureşti) MSC: 34L15 34L40 34L25 PDF BibTeX XML Cite \textit{M. Klaus}, Oper. Theory: Adv. Appl. 203, 289--323 (2010; Zbl 1208.34141)
Kravchenko, Viktor G.; Kravchenko, Vladislav V.; Tremblay, Sébastien Zakharov-Shabat system and hyperbolic pseudoanalytic function theory. (English) Zbl 1196.30043 Math. Methods Appl. Sci. 33, No. 4, 448-453 (2010). Reviewer: George Csordas (Honolulu) MSC: 30G20 37K15 PDF BibTeX XML Cite \textit{V. G. Kravchenko} et al., Math. Methods Appl. Sci. 33, No. 4, 448--453 (2010; Zbl 1196.30043) Full Text: DOI arXiv
Aktosun, Tuncay; van der Mee, Cornelis A unified approach to Darboux transformations. (English) Zbl 1185.45006 Inverse Probl. 25, No. 10, Article ID 105003, 22 p. (2009). Reviewer: Anatoly Filip Grishin (Khar’kov) MSC: 45F15 45D05 PDF BibTeX XML Cite \textit{T. Aktosun} and \textit{C. van der Mee}, Inverse Probl. 25, No. 10, Article ID 105003, 22 p. (2009; Zbl 1185.45006) Full Text: DOI arXiv
Blower, Gordon Linear systems and determinantal random point fields. (English) Zbl 1190.15037 J. Math. Anal. Appl. 355, No. 1, 311-334 (2009). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15B52 34L25 60H25 PDF BibTeX XML Cite \textit{G. Blower}, J. Math. Anal. Appl. 355, No. 1, 311--334 (2009; Zbl 1190.15037) Full Text: DOI arXiv
Sacks, Paul; Shin, Jaemin Computational methods for some inverse scattering problems. (English) Zbl 1160.65036 Appl. Math. Comput. 207, No. 1, 111-123 (2009). Reviewer: Othmar Koch (Baden) MSC: 65L09 34A55 34L40 PDF BibTeX XML Cite \textit{P. Sacks} and \textit{J. Shin}, Appl. Math. Comput. 207, No. 1, 111--123 (2009; Zbl 1160.65036) Full Text: DOI
Espínola-Rocha, J. Adrián Factorization of the scattering matrix and the location of the eigenvalues of the Manakov-Zakharov-Shabat system. (English) Zbl 1225.81146 Phys. Lett., A 372, No. 40, 6161-6167 (2008). MSC: 81U20 81R12 35Q55 PDF BibTeX XML Cite \textit{J. A. Espínola-Rocha}, Phys. Lett., A 372, No. 40, 6161--6167 (2008; Zbl 1225.81146) Full Text: DOI
Gerdjikov, V. S.; Kaup, D. J.; Kostov, N. A.; Valchev, T. I. On classification of soliton solutions of multicomponent nonlinear evolution equations. (English) Zbl 1143.37048 J. Phys. A, Math. Theor. 41, No. 31, Article ID 315213, 36 p. (2008). MSC: 37K40 35Q51 37K30 37K15 PDF BibTeX XML Cite \textit{V. S. Gerdjikov} et al., J. Phys. A, Math. Theor. 41, No. 31, Article ID 315213, 36 p. (2008; Zbl 1143.37048) Full Text: DOI
Demontis, Francesco; van der Mee, Cornelis Marchenko equations and norming constants of the matrix Zakharov-Shabat system. (English) Zbl 1209.34013 Oper. Matrices 2, No. 1, 79-113 (2008). MSC: 34A55 81U40 34L25 PDF BibTeX XML Cite \textit{F. Demontis} and \textit{C. van der Mee}, Oper. Matrices 2, No. 1, 79--113 (2008; Zbl 1209.34013) Full Text: DOI
Gerdjikov, Vladimir Stefanov; Vilasi, Gaetano; Yanovski, Alexandar Borissov Integrable Hamiltonian hierarchies. Spectral and geometric methods. (English) Zbl 1167.37001 Lecture Notes in Physics 748. Berlin: Springer (ISBN 978-3-540-77053-4/hbk). xii, 653 p. (2008). Reviewer: Ma Wen-Xiu (Tampa) MSC: 37-02 37K10 37K25 35Q51 37K15 35Q53 35Q55 37K05 37K40 PDF BibTeX XML Cite \textit{V. S. Gerdjikov} et al., Integrable Hamiltonian hierarchies. Spectral and geometric methods. Berlin: Springer (2008; Zbl 1167.37001) Full Text: DOI
Gerdjikov, Vladimir S.; Kaup, David J. How many types of soliton solutions do we know? (English) Zbl 1101.35069 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). 11-34 (2006). MSC: 35Q55 37K30 37K15 35Q51 PDF BibTeX XML Cite \textit{V. S. Gerdjikov} and \textit{D. J. Kaup}, 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. 11--34 (2006; Zbl 1101.35069)
Boutet de Monvel, Anne; Kotlyarov, Vladimir Characteristic properties of the scattering data for the mKdV equation on the half-line. (English) Zbl 1103.37044 Commun. Math. Phys. 253, No. 1, 51-79 (2005). MSC: 37K15 35Q53 35P25 34L25 PDF BibTeX XML Cite \textit{A. Boutet de Monvel} and \textit{V. Kotlyarov}, Commun. Math. Phys. 253, No. 1, 51--79 (2005; Zbl 1103.37044) Full Text: DOI arXiv
Klaus, Martin On the Zakharov-Shabat eigenvalue problem. (English) Zbl 1094.34059 Clemence, Dominic P. (ed.) et al., Mathematical studies in nonlinear wave propagation. Proceedings of the NSF-CBMS regional research conference, Greensboro, NC, USA, May 15–19, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3349-9/pbk). Contemporary Mathematics 379, 21-45 (2005). Reviewer: Alan L. Andrew (Bundoora) MSC: 34L15 34L40 35Q55 PDF BibTeX XML Cite \textit{M. Klaus}, Contemp. Math. 379, 21--45 (2005; Zbl 1094.34059)
van der Mee, Cornelis Direct and universe scattering for skewselfadjoint Hamiltonian systems. (English) Zbl 1079.34064 Ball, Joseph A. (ed.) et al., Current trends in operator theory and its applications. Proceedings of the international workshop on operator theory and its applications (IWOTA), Virginia Tech, Blacksburg, VA, USA, August 6–9, 2002. Basel: Birkhäuser (ISBN 3-7643-7067-X/hbk). Operator Theory: Advances and Applications 149, 407-439 (2004). Reviewer: Vassilis G. Papanicolaou (Athena) MSC: 34L25 34A55 81U40 PDF BibTeX XML Cite \textit{C. van der Mee}, Oper. Theory: Adv. Appl. 149, 407--439 (2004; Zbl 1079.34064)
Grébert, B.; Kappeler, T. Density of finite gap potentials for the Zakharov-Shabat system. (English) Zbl 1037.34078 Asymptotic Anal. 33, No. 1, 1-8 (2003). Reviewer: Horst Behncke (Osnabrück) MSC: 34L20 34L15 37K15 PDF BibTeX XML Cite \textit{B. Grébert} and \textit{T. Kappeler}, Asymptotic Anal. 33, No. 1, 1--8 (2003; Zbl 1037.34078) Full Text: Link
Shi, Qi-Yan Finite-dimensional integrable systems related to the \(n\)-wave interaction equations. (English) Zbl 1005.37040 J. Math. Phys. 42, No. 8, 3554-3564 (2001). MSC: 37K10 37J35 PDF BibTeX XML Cite \textit{Q.-Y. Shi}, J. Math. Phys. 42, No. 8, 3554--3564 (2001; Zbl 1005.37040) Full Text: DOI
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 PDF BibTeX XML Cite \textit{B. Grébert} and \textit{T. Kappeler}, Asymptotic Anal. 25, No. 3--4, 201--237 (2001; Zbl 0982.34073)
Blohm, Henning Solution of nonlinear equations by trace methods. (English) Zbl 0972.35132 Nonlinearity 13, No. 6, 1925-1964 (2000). MSC: 35Q53 37K15 PDF BibTeX XML Cite \textit{H. Blohm}, Nonlinearity 13, No. 6, 1925--1964 (2000; Zbl 0972.35132) Full Text: DOI
Leble, S. B. Integrable models for density matrix evolution. (English) Zbl 0964.35158 Boiti, M. (ed.) et al., Proceedings of the workshop on nonlinearity, integrability and all that: twenty years after NEEDS ’79, Lecce, Italy, July 1-10, 1999. Singapore: World Scientific. 311-317 (2000). MSC: 35Q60 37K05 PDF BibTeX XML Cite \textit{S. B. Leble}, in: Proceedings of the workshop on nonlinearity, integrability and all that: twenty years after NEEDS '79, Lecce, Italy, July 1--10, 1999. Singapore: World Scientific. 311--317 (2000; Zbl 0964.35158)
Docksey, R. G.; Elgin, J. N. Closure of the Manakov system. (English) Zbl 0961.35149 SIAM J. Math. Anal. 32, No. 1, 54-79 (2000). MSC: 35Q55 37K15 35P10 35Q60 PDF BibTeX XML Cite \textit{R. G. Docksey} and \textit{J. N. Elgin}, SIAM J. Math. Anal. 32, No. 1, 54--79 (2000; Zbl 0961.35149) Full Text: DOI
Bambusi, Dario Long time stability of some small amplitude solutions in nonlinear Schrödinger equations. (English) Zbl 0895.35095 Commun. Math. Phys. 189, No. 1, 205-226 (1997). Reviewer: L.Vazquez (Madrid) MSC: 35Q55 81Q05 35B35 PDF BibTeX XML Cite \textit{D. Bambusi}, Commun. Math. Phys. 189, No. 1, 205--226 (1997; Zbl 0895.35095) Full Text: DOI
Boiti, M.; Leon, J.; Pempinelli, F. Nonlinear discrete systems with nonanalytic dispersion relations. (English) Zbl 0865.35118 J. Math. Phys. 37, No. 6, 2824-2850 (1996). MSC: 35Q55 39A12 35R30 37J35 37K10 35Q51 PDF BibTeX XML Cite \textit{M. Boiti} et al., J. Math. Phys. 37, No. 6, 2824--2850 (1996; Zbl 0865.35118) Full Text: DOI arXiv
Pigli, Mircea Adelic integrable systems. (English) Zbl 0858.39003 J. Math. Phys. 36, No. 12, 6829-6845 (1995). Reviewer: V.I.Tkachenko (Kiev) MSC: 39A10 81U20 37J35 37K10 PDF BibTeX XML Cite \textit{M. Pigli}, J. Math. Phys. 36, No. 12, 6829--6845 (1995; Zbl 0858.39003) Full Text: DOI arXiv
Pelinovsky, Dmitry E.; Grimshaw, Roger H. J. A spectral transform for the intermediate nonlinear Schrödinger equation. (English) Zbl 0845.35119 J. Math. Phys. 36, No. 8, 4203-4219 (1995). MSC: 35Q55 35Q15 58J72 PDF BibTeX XML Cite \textit{D. E. Pelinovsky} and \textit{R. H. J. Grimshaw}, J. Math. Phys. 36, No. 8, 4203--4219 (1995; Zbl 0845.35119) Full Text: DOI
Lee, Jyh-Hao Solvability of the derivative nonlinear Schrödinger equation and the massive Thirring model. (English) Zbl 0854.34080 Theor. Math. Phys. 99, No. 2, 617-621 (1994) and Teor. Mat. Fiz. 99. No. 2, 322-328 (1994). MSC: 34L40 35Q55 35Q51 35R30 35B40 81U05 PDF BibTeX XML Cite \textit{J.-H. Lee}, Theor. Math. Phys. 99, No. 2, 617--621 (1994) and Teor. Mat. Fiz. 99. No.~2, 322--328 (1994; Zbl 0854.34080) Full Text: DOI
Gerdjikov, V. S. The generalized Zakharov-Shabat system and the soliton perturbations. (English) Zbl 0850.35108 Theor. Math. Phys. 99, No. 2, 593-598 (1994) and Teor. Mat. Fiz. 99. No. 2, 292-299 (1994). MSC: 35Q55 37J35 37K10 35Q51 PDF BibTeX XML Cite \textit{V. S. Gerdjikov}, Theor. Math. Phys. 99, No. 2, 593--598 (1994) and Teor. Mat. Fiz. 99. No.~2, 292--299 (1994; Zbl 0850.35108) Full Text: DOI
Gerdjikov, V. S.; Yanovski, A. B. Completeness of the eigenfunctions for the Caudrey-Beals-Coifman system. (English) Zbl 0814.34070 J. Math. Phys. 35, No. 7, 3687-3725 (1994). MSC: 34L10 35P25 34A55 35R30 PDF BibTeX XML Cite \textit{V. S. Gerdjikov} and \textit{A. B. Yanovski}, J. Math. Phys. 35, No. 7, 3687--3725 (1994; Zbl 0814.34070) Full Text: DOI
Seiler, Werner M. Pseudo differential operators and integrable systems in AXIOM. (English) Zbl 0878.65108 Comput. Phys. Commun. 79, No. 2, 329-340 (1994). MSC: 65Z05 47G30 58J40 68W30 81U40 35S05 PDF BibTeX XML Cite \textit{W. M. Seiler}, Comput. Phys. Commun. 79, No. 2, 329--340 (1994; Zbl 0878.65108) Full Text: DOI Link
Gerdjikov, V. S.; Ivanov, M. I. Expansions over the ‘squared’ solutions and the inhomogeneous nonlinear Schrödinger equation. (English) Zbl 0766.35050 Inverse Probl. 8, No. 6, 831-847 (1992). MSC: 35Q55 35Q51 58J72 35P25 PDF BibTeX XML Cite \textit{V. S. Gerdjikov} and \textit{M. I. Ivanov}, Inverse Probl. 8, No. 6, 831--847 (1992; Zbl 0766.35050) Full Text: DOI
Cao, Cewen Nonlinearization of the Lax system for AKNS hierarchy. (English) Zbl 0714.58026 Sci. China, Ser. A 33, No. 5, 528-536 (1990). MSC: 37J35 37K10 35Q58 35Q51 PDF BibTeX XML Cite \textit{C. Cao}, Sci. China, Ser. A 33, No. 5, 528--536 (1990; Zbl 0714.58026)
Huang, Nianning; Chen, Zongyun Alfven solitons. (English) Zbl 0708.35083 J. Phys. A, Math. Gen. 23, No. 4, 439-453 (1990). MSC: 35Q55 35Q51 PDF BibTeX XML Cite \textit{N. Huang} and \textit{Z. Chen}, J. Phys. A, Math. Gen. 23, No. 4, 439--453 (1990; Zbl 0708.35083) Full Text: DOI
Grünbaum, F. Alberto The scattering problem for a phase-modulated hyperbolic secant pulse. (English) Zbl 0698.35113 Inverse Probl. 5, No. 3, 287-292 (1989). Reviewer: F.Natterer MSC: 35P25 35R30 PDF BibTeX XML Cite \textit{F. A. Grünbaum}, Inverse Probl. 5, No. 3, 287--292 (1989; Zbl 0698.35113) Full Text: DOI
Lee, Jyhhao On the dissipative evolution equations associated with the Zakharov- Shabat system with a quadratic spectral parameter. (English) Zbl 0688.35090 Trans. Am. Math. Soc. 316, No. 1, 327-336 (1989). Reviewer: L.Y.Shih MSC: 35Q99 35Q15 35P99 PDF BibTeX XML Cite \textit{J. Lee}, Trans. Am. Math. Soc. 316, No. 1, 327--336 (1989; Zbl 0688.35090) Full Text: DOI
Gerdzhikov, V. S.; Ivanov, M. I.; Vaklev, Y. S. Gauge transformations and generating operators for the discrete Zakharov- Shabat system. (English) Zbl 0618.35103 Inverse Probl. 2, 413-432 (1986). MSC: 35Q99 35A30 35R30 35P25 PDF BibTeX XML Cite \textit{V. S. Gerdzhikov} et al., Inverse Probl. 2, 413--432 (1986; Zbl 0618.35103) Full Text: DOI
Gerdzhikov, V. S.; Yanovskij, A. B. Gauge covariant theory of the generating operator. I. (English) Zbl 0611.35082 Commun. Math. Phys. 103, 549-568 (1986). MSC: 35Q99 35G20 35A30 PDF BibTeX XML Cite \textit{V. S. Gerdzhikov} and \textit{A. B. Yanovskij}, Commun. Math. Phys. 103, 549--568 (1986; Zbl 0611.35082) Full Text: DOI
Gadzhiev, I. T.; Gerdzhikov, V. S.; Ivanov, M. I. Hamiltonian structures of nonlinear evolution equations connected with a polynomial pencil. (English) Zbl 0597.35112 J. Sov. Math. 34, 1923-1932 (1986). MSC: 35Q99 81U20 81Q05 PDF BibTeX XML Cite \textit{I. T. Gadzhiev} et al., J. Sov. Math. 34, 1923--1932 (1986; Zbl 0597.35112) Full Text: DOI
David, D.; Harnad, J.; Shnider, S. Multi-soliton solutions to the Thirring model through the reduction method. (English) Zbl 0539.35071 Lett. Math. Phys. 8, 27-37 (1984). MSC: 35Q99 35A30 35G20 PDF BibTeX XML Cite \textit{D. David} et al., Lett. Math. Phys. 8, 27--37 (1984; Zbl 0539.35071) Full Text: DOI
Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. K. Application of inverse scattering method to singular solutions of nonlinear equations. II. (English. Russian original) Zbl 0586.35075 Theor. Math. Phys. 54, 12-22 (1983); translation from Teor. Mat. Fiz. 54, No. 1, 23-37 (1983). MSC: 35Q99 35J10 35B40 35P25 35R30 PDF BibTeX XML Cite \textit{V. A. Arkad'ev} et al., Theor. Math. Phys. 54, 12--22 (1983; Zbl 0586.35075); translation from Teor. Mat. Fiz. 54, No. 1, 23--37 (1983) Full Text: DOI
Guillaume, M. O.; Jaulent, Marcel A Zakharov-Shabat inverse scattering problem with a polynomial spectral dependence in the potential. (English) Zbl 0558.34021 Lett. Math. Phys. 6, 189-198 (1982). Reviewer: J.Weidmann MSC: 34L99 34A55 PDF BibTeX XML Cite \textit{M. O. Guillaume} and \textit{M. Jaulent}, Lett. Math. Phys. 6, 189--198 (1982; Zbl 0558.34021) Full Text: DOI
Khasanov, A. B. A uniqueness theorem of an inverse problem for the Zakharov-Shabat system. (Russian) Zbl 0516.34014 Izv. Akad. Nauk UzSSR, Ser. Fiz.-Mat. Nauk 1982, No. 4, 37-43 (1982). MSC: 34A55 34A12 PDF BibTeX XML Cite \textit{A. B. Khasanov}, Izv. Akad. Nauk UzSSR, Ser. Fiz.-Mat. Nauk 1982, No. 4, 37--43 (1982; Zbl 0516.34014)
Jaulent, Marcel The inverse scattering problem for LCRG transmission lines. (English) Zbl 0515.35067 J. Math. Phys. 23, 2286-2290 (1982). MSC: 35P25 35R30 PDF BibTeX XML Cite \textit{M. Jaulent}, J. Math. Phys. 23, 2286--2290 (1982; Zbl 0515.35067) Full Text: DOI
Arthur, M. D.; Case, K. M. Gradient theorem for completely integrable Hamiltonian systems. (English) Zbl 0501.58019 J. Math. Phys. 23, 1771-1777 (1982). MSC: 37J99 58E30 70H99 PDF BibTeX XML Cite \textit{M. D. Arthur} and \textit{K. M. Case}, J. Math. Phys. 23, 1771--1777 (1982; Zbl 0501.58019) Full Text: DOI
Eckhaus, Wiktor; van Harten, Aart The inverse scattering transformation and the theory of solitons. An introduction. (English) Zbl 0463.35001 North-Holland Mathematics Studies, 50. Amsterdam - New York -Oxford: North-Holland Publishing Company. XI, 222 p. $ 31.75; Dfl. 65.00 (1981). MSC: 35-02 35P25 35Q99 58D25 76B25 PDF BibTeX XML
Cornille, Henri Generalization of the inversionlike integral equations and application to nonlinear partial differential equations. II. (English) Zbl 0414.35017 J. Math. Phys. 19, 1936-1945 (1978). MSC: 35E20 35A25 45H05 PDF BibTeX XML Cite \textit{H. Cornille}, J. Math. Phys. 19, 1936--1945 (1978; Zbl 0414.35017) Full Text: DOI
Chudnovsky, David; Chudnovsky, Gregory V. Sur les systèmes à plusieurs particules avec potentiel en \(1/r^2\), l’équation de Riccati et les systèmes completement intégrables relies à l’équation de Schrödinger. (French) Zbl 0397.34032 C. R. Acad. Sci., Paris, Sér. A 287, 775-778 (1978). MSC: 34B30 70H05 PDF BibTeX XML Cite \textit{D. Chudnovsky} and \textit{G. V. Chudnovsky}, C. R. Acad. Sci., Paris, Sér. A 287, 775--778 (1978; Zbl 0397.34032)