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Found 468 Documents (Results 1–100)

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Gerdjikov, V. S.; Li, Nianhua; Matveev, V. B.; Smirnov, A. O.

On soliton solutions and soliton interactions of Kulish-Sklyanin and Hirota-Ohta systems. (English. Russian original) Zbl 1516.37080

Theor. Math. Phys. 213, No. 1, 1331-1347 (2022); translation from Teor. Mat. Fiz. 213, No. 1, 20-40 (2022).
MSC:  37K10 35Q51 37K15 37K40 35C08
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\textit{V. S. Gerdjikov} et al., Theor. Math. Phys. 213, No. 1, 1331--1347 (2022; Zbl 1516.37080); translation from Teor. Mat. Fiz. 213, No. 1, 20--40 (2022)
Full Text: DOI arXiv
Adamopoulou, Panagiota; Papamikos, Georgios

Dressing for a vector modified KdV hierarchy. (English) Zbl 1478.37067

Paranjape, M. B. (ed.) et al., Quantum theory and symmetries. Proceedings of the 11th international symposium, Montréal, Canada, July 1–5, 2019. Cham: Springer. CRM Ser. Math. Phys., 513-522 (2021).
MSC:  37K10 37K35 37K40 35Q53
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\textit{P. Adamopoulou} and \textit{G. Papamikos}, in: Quantum theory and symmetries. Proceedings of the 11th international symposium, Montréal, Canada, July 1--5, 2019. Cham: Springer. 513--522 (2021; Zbl 1478.37067)
Full Text: DOI arXiv
Khesin, Boris

Lectures on pentagram maps and KdV hierarchies. (English) Zbl 1472.37081

Akbulut, Selman (ed.) et al., Proceedings of the 25th and 26th Gökova geometry-topology conferences, 2018/2019, Gökova Bay, Turkey, May/June 2018 and May/June 2019. Dedicated to the memory of Sir Michael Atiyah. Somerville, MA: International Press; Gökova: Gökova Geometry-Topology Conferences (GGT). 164-175 (2021).
Reviewer: Ahmed Lesfari (El Jadida)
MSC:  37K60 37K25 37J70 37J39 39A36
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\textit{B. Khesin}, in: Proceedings of the 25th and 26th Gökova geometry-topology conferences, 2018/2019, Gökova Bay, Turkey, May/June 2018 and May/June 2019. Dedicated to the memory of Sir Michael Atiyah. Somerville, MA: International Press; Gökova: Gökova Geometry-Topology Conferences (GGT). 164--175 (2021; Zbl 1472.37081)
Yergaliyeva, Gulmira; Myrzakul, Tolkynay; Nugmanova, Gulgassyl; Myrzakulov, Ratbay

Camassa-Holm and Myrzakulov-CIV equations with self-consistent sources: geometry and peakon solutions. (English) Zbl 1476.78004

Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 21st international conference on geometry, integrability and quantization, Varna, Bulgaria, June 3–8, 2019. Sofia: Avangard Prima; Sofia: Bulgarian Academy of Sciences, Institute of Biophysics and Biomedical Engineering. Geom. Integrability Quantization 21, 310-319 (2020).
MSC:  78A40 82D40 35C08 37K35 37K10 35Q53 35Q60
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\textit{G. Yergaliyeva} et al., Geom. Integrability Quantization 21, 310--319 (2020; Zbl 1476.78004)
Full Text: DOI arXiv
Taĭshieva, Aĭgul’ Galimzhanovna; Myrzakul, Tolkynaĭ Ratbaĭkyzy; Nugmanova, Gulgasyl Nukarbaevna

On equivalence of one spin system and two-component Camassa-Holm equation. (Russian. English summary) Zbl 1463.35160

Ufim. Mat. Zh. 12, No. 2, 49-54 (2020); translation in Ufa Math. J. 12, No. 2, 50-55 (2020).
MSC:  35C08 35Q51
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\textit{A. G. Taĭshieva} et al., Ufim. Mat. Zh. 12, No. 2, 49--54 (2020; Zbl 1463.35160); translation in Ufa Math. J. 12, No. 2, 50--55 (2020)
Full Text: DOI MNR
Mironov, Andrey E.; Mauleshova, Gulnara S.

On rank two algebro-geometric solutions of an integrable chain. (English) Zbl 1423.39006

Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVI. Workshop and summer school, Białowieża, Poland, July 2–8, 2017. Selected papers of the 36th workshop (WGMPXXXVI) and extended abstracts of lectures given at the 6th “School of geometry and physics”. Cham: Birkhäuser. Trends Math., 189-195 (2019).
MSC:  39A12 39A70 37K20 37K30
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\textit{A. E. Mironov} and \textit{G. S. Mauleshova}, in: Geometric methods in physics XXXVI. Workshop and summer school, Białowieża, Poland, July 2--8, 2017. Selected papers of the 36th workshop (WGMPXXXVI) and extended abstracts of lectures given at the 6th ``School of geometry and physics''. Cham: Birkhäuser. 189--195 (2019; Zbl 1423.39006)
Full Text: DOI arXiv
Yanovski, Alexandar

Hierarchies of symplectic structures for \(\mathfrak{sl}(3,\mathbb{C})\) Zakharov-Shabat systems in canonical and pole gauge with \(\mathbb{Z}_2\times \mathbb{Z}_2\) reduction of Mikhailov type. (English) Zbl 1417.35158

Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 20th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 2–7, 2018. Sofia: Avangard Prima; Sofia: Bulgarian Academy of Sciences, Institute of Biophysics and Biomedical Engineering. Geom. Integrability Quantization 20, 297-310 (2019).
MSC:  35Q51 37K05 37K10 35Q55
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\textit{A. Yanovski}, Geom. Integrability Quantization 20, 297--310 (2019; Zbl 1417.35158)
Full Text: DOI 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
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\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
Hintermüller, Michael; Strogies, Nikolai

On the consistency of Runge-Kutta methods up to order three applied to the optimal control of scalar conservation laws. (English) Zbl 1416.49029

Al-Baali, Mehiddin (ed.) et al., Numerical analysis and optimization. Selected papers based on the presentations at the 4th international conference, NAO-IV, Muscat, Oman, January 2–5, 2017. Cham: Springer. Springer Proc. Math. Stat. 235, 119-154 (2018).
Reviewer: Ctirad Matonoha (Prague)
MSC:  49M25 65L06 35L65
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\textit{M. Hintermüller} and \textit{N. Strogies}, Springer Proc. Math. Stat. 235, 119--154 (2018; Zbl 1416.49029)
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Zhunussova, Zhanat Kh.

Geometric approach to domain wall solution. (English) Zbl 1404.35430

Kalmenov, Tynysbek Sh. (ed.) et al., Functional analysis in interdisciplinary applications, Astana, Kazakhstan, October 2–5, 2017. Cham: Springer (ISBN 978-3-319-67052-2/hbk; 978-3-319-67053-9/ebook). Springer Proceedings in Mathematics & Statistics 216, 444-450 (2017).
MSC:  35Q60 35C05 37K15
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\textit{Z. Kh. Zhunussova}, Springer Proc. Math. Stat. 216, 444--450 (2017; Zbl 1404.35430)
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Sokolov, Vladimir

Algebraic structures related to integrable differential equations. (English) Zbl 1394.37003

Ensaios Matemáticos 31. Rio de Janeiro: Sociedade Brasileira de Matemática (SBM) (ISBN 978-85-8337-128-1/pbk). 108 p., open access (2017).
Reviewer: Ahmed Lesfari (El Jadida)
MSC:  37-02 37K10 37K15 37K40 17B63 17B67 17B80
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\textit{V. Sokolov}, Algebraic structures related to integrable differential equations. Rio de Janeiro: Sociedade Brasileira de Matemática (SBM) (2017; Zbl 1394.37003)
Full Text: arXiv Link
Sorin, A. S.; Chernyakov, Yu. B.

New method for constructing semi-invariants and integrals of the full symmetric \(\mathfrak{sl}_n\) Toda lattice. (English. Russian original) Zbl 1326.37044

Theor. Math. Phys. 183, No. 2, 637-664 (2015); translation from Teor. Mat. Fiz. 183, No. 2, 222-253 (2015); erratum Theor. Math. Phys. 184, No. 1, 1047–1048 (2015).
MSC:  37K10
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\textit{A. S. Sorin} and \textit{Yu. B. Chernyakov}, Theor. Math. Phys. 183, No. 2, 637--664 (2015; Zbl 1326.37044); translation from Teor. Mat. Fiz. 183, No. 2, 222--253 (2015); erratum Theor. Math. Phys. 184, No. 1, 1047--1048 (2015)
Full Text: DOI arXiv
Prykarpatski, Anatolij K.; Soltanov, Kamal N.; Özçağ, Emin

Differential-algebraic approach to constructing representations of commuting differentiations in functional spaces and its application to nonlinear integrable dynamical systems. (English) Zbl 1457.13050

Commun. Nonlinear Sci. Numer. Simul. 19, No. 5, 1644-1649 (2014).
MSC:  13N15
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\textit{A. K. Prykarpatski} et al., Commun. Nonlinear Sci. Numer. Simul. 19, No. 5, 1644--1649 (2014; Zbl 1457.13050)
Full Text: DOI arXiv
Yanovski, Alexandar

Locality of the conservation laws for the soliton equations related to Caudrey-Beals-Coifman system via the theory of recursion operators. (English) Zbl 1316.35074

Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 15th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 7–12, 2013. Sofia: Avangard Prima. 292-308 (2014).
MSC:  35C08 35B06 37K10
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\textit{A. Yanovski}, in: Proceedings of the 15th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 7--12, 2013. Sofia: Avangard Prima. 292--308 (2014; Zbl 1316.35074)
Full Text: DOI Link
Khanizadeh, F.; Mikhailov, A. V.; Wang, Jing Ping

Darboux transformations and recursion operators for differential-difference equations. (English. Russian original) Zbl 1301.37041

Theor. Math. Phys. 177, No. 3, 1606-1654 (2013); translation from Teor. Mat. Fiz. 177, No. 3, 387-440 (2013).
Reviewer: Irina V. Konopleva (Ul’yanovsk)
MSC:  37K10 37K35 39A14
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\textit{F. Khanizadeh} et al., Theor. Math. Phys. 177, No. 3, 1606--1654 (2013; Zbl 1301.37041); translation from Teor. Mat. Fiz. 177, No. 3, 387--440 (2013)
Full Text: DOI arXiv Link

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