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Found 77 Documents (Results 1–77)

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Kulaev, R. Ch.; Shabat, A. B.

Darboux system and separation of variables in the Goursat problem for a third order equation in \(\mathbb{R}^3\). (English. Russian original) Zbl 1445.37048

Russ. Math. 64, No. 4, 35-43 (2020); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 4, 43-53 (2020).
MSC:  37K25 37K30
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\textit{R. Ch. Kulaev} and \textit{A. B. Shabat}, Russ. Math. 64, No. 4, 35--43 (2020; Zbl 1445.37048); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 4, 43--53 (2020)
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Chen, Joe P.; Hinz, Michael; Teplyaev, Alexander

From non-symmetric particle systems to non-linear PDEs on fractals. (English) Zbl 1405.60142

Eberle, Andreas (ed.) et al., Stochastic partial differential equations and related fields. In honor of Michael Röckner, SPDERF, Bielefeld, Germany, October 10–14, 2016. Cham: Springer (ISBN 978-3-319-74928-0/hbk; 978-3-319-74929-7/ebook). Springer Proceedings in Mathematics & Statistics 229, 503-513 (2018).
MSC:  60K35 05C81 28A80 31C20 35K58 47A07 47H05 60F05 60F10 60J25 60J27 81Q35 82B21 82C22
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\textit{J. P. Chen} et al., Springer Proc. Math. Stat. 229, 503--513 (2018; Zbl 1405.60142)
Full Text: DOI arXiv
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Prykarpatski, Anatolij K.

Hamilton operators and related integrable differential algebraic Novikov-Leibniz type structures. (English) Zbl 1402.35018

Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXV. Workshop and summer school, Białowieża, Poland, June 26 – July 2, 2016. Cham: Birkhäuser (ISBN 978-3-319-63593-4/hbk; 978-3-319-63594-1/ebook). Trends in Mathematics, 93-100 (2018).
MSC:  35A30 35G25 35N10 37K35 58J70 58J72 34A34
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\textit{A. K. Prykarpatski}, in: Geometric methods in physics XXXV. Workshop and summer school, Białowieża, Poland, June 26 -- July 2, 2016. Cham: Birkhäuser. 93--100 (2018; Zbl 1402.35018)
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Kang, Moon-Jin; Vasseur, Alexis F.

Asymptotic analysis of Vlasov-type equations under strong local alignment regime. (English) Zbl 1331.35345

Math. Models Methods Appl. Sci. 25, No. 11, Article ID 2153, 2153-2173 (2015).
Reviewer: Alain Brillard (Riedisheim)
MSC:  35Q83 35Q70 35Q31 35D30 35B40 35A09 35A15
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\textit{M.-J. Kang} and \textit{A. F. Vasseur}, Math. Models Methods Appl. Sci. 25, No. 11, Article ID 2153, 2153--2173 (2015; Zbl 1331.35345)
Full Text: DOI arXiv
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Vladimirov, Vsevolod A.; Mączka, Czesław; Sergyeyev, Artur; Skurativskyi, Sergiy

Stability and dynamical features of solitary wave solutions for a hydrodynamic-type system taking into account nonlocal effects. (English) Zbl 1457.37090

Commun. Nonlinear Sci. Numer. Simul. 19, No. 6, 1770-1782 (2014).
MSC:  37K10 35Q51 35C07 35C08 76B25 92C20
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\textit{V. A. Vladimirov} et al., Commun. Nonlinear Sci. Numer. Simul. 19, No. 6, 1770--1782 (2014; Zbl 1457.37090)
Full Text: DOI arXiv
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Tunitsky, D. V.

Decoupling of hydrodynamic-type systems into block triangular interacting subsystems. (English. Russian original) Zbl 1417.34037

Dokl. Math. 87, No. 2, 229-231 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk, Vol. 449, No. 6, 644-647 (2013).
MSC:  34A30 34A25 34C20
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\textit{D. V. Tunitsky}, Dokl. Math. 87, No. 2, 229--231 (2013; Zbl 1417.34037); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk, Vol. 449, No. 6, 644--647 (2013)
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Abenda, S.

Reciprocal transformations and integrable Hamiltonian hydrodynamic type systems. (English) Zbl 1183.37106

Manganaro, Natale (ed.) et al., Proceedings WASCOM 2007. 14th Conference on waves and stability in continuous media, Baia Samuele, Sicily, Italy, 30 June – 6 July 2007. Hackensack, NJ: World Scientific (ISBN 978-981-277-234-3/hbk). 1-6 (2008).
MSC:  37K35 37K05 35F20
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\textit{S. Abenda}, in: Proceedings WASCOM 2007. 14th Conference on waves and stability in continuous media, Baia Samuele, Sicily, Italy, 30 June -- 6 July 2007. Hackensack, NJ: World Scientific. 1--6 (2008; Zbl 1183.37106)
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Mokhov, O. I.

Compatible metrics of constant Riemannian curvature: local geometry, nonlinear equations, and integrability. (English. Russian original) Zbl 1083.53041

Funct. Anal. Appl. 36, No. 3, 196-204 (2002); translation from Funkts. Anal. Prilozh. 36, No. 3, 36-47 (2002).
Reviewer: Valentin Boju (Montreal)
MSC:  53C21 53C20 53B20 37K15 37K25
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\textit{O. I. Mokhov}, Funct. Anal. Appl. 36, No. 3, 196--204 (2002; Zbl 1083.53041); translation from Funkts. Anal. Prilozh. 36, No. 3, 36--47 (2002)
Full Text: DOI arXiv
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Ferapontov, E. V.

Surfaces in 3-space possessing nontrivial deformations which preserve the shape operator. (English) Zbl 1035.53007

Guest, Martin (ed.) et al., Differential geometry and integrable systems. Proceedings of the conference, Tokyo, Japan, July 17–21, 2000. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-2938-6/pbk). Contemp. Math. 308, 145-159 (2002).
Reviewer: St. Hineva (Sofia)
MSC:  53A05 37K25
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\textit{E. V. Ferapontov}, Contemp. Math. 308, 145--159 (2002; Zbl 1035.53007)
Full Text: arXiv
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Ladyzhenskaya, O. A.

A theorem on multiplicators in nonhomogeneous Hölder spaces and some of its applications. (English. Russian original) Zbl 1025.47016

J. Math. Sci., New York 115, No. 6, 2792-2802 (2003); translation from Zap. Nauchn. Semin. POMI 271, 156-174 (2000).
MSC:  47B38 42B15 35B65 35K45 35Q30 46E15
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\textit{O. A. Ladyzhenskaya}, J. Math. Sci., New York 115, No. 6, 2792--2802 (2000; Zbl 1025.47016); translation from Zap. Nauchn. Semin. POMI 271, 156--174 (2000)
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Mokhov, O. I.

Compatible Poisson structures of hydrodynamic type and associativity equations. (English. Russian original) Zbl 0985.37071

Bukhshtaber, V. M. (ed.) et al., Solitons, geometry, and topology: on the crossroads. Collected papers dedicated to the 60th birthday of Academician Sergei Petrovich Novikov. Transl. from the Russian. Moscow: MAIK Nauka/Interperiodica, Proc. Steklov Inst. Math. 225, 269-284 (1999); translation from Tr. Mat. Inst. Steklova 225, 284-300 (1999).
Reviewer: Arkadi Berezovski (Tallinn)
MSC:  37K10 37K25 35Q53
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\textit{O. I. Mokhov}, in: Solitons, geometry, and topology: on the crossroads. Collected papers dedicated to the 60th birthday of Academician Sergei Petrovich Novikov. Transl. from the Russian. Moscow: MAIK Nauka/In\-ter\-pe\-ri\-o\-di\-ca. 269--284 (1999; Zbl 0985.37071); translation from Tr. Mat. Inst. Steklova 225, 284--300 (1999)
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Currò, C.; Donato, A.

The Monge-Ampère equation and its connection with systems of hydrodynamic type. (English) Zbl 0934.35132

Maiellaro, Michele (ed.) et al., The proceedings of the 9th international conference on Waves and stability in continuous media, Bari, Italy, October 6-11, 1997. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 57, 187-198 (1998).
Reviewer: G.Porru (Cagliari)
MSC:  35Q35 76T10
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\textit{C. Currò} and \textit{A. Donato}, in: The proceedings of the 9th international conference on Waves and stability in continuous media, Bari, Italy, October 6--11, 1997. Palermo: Circolo Matematico di Palermo. 187--198 (1998; Zbl 0934.35132)
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Pavlov, M. V.; Sharipov, R. A.; Svinolupov, S. I.

Invariant integrability criterion for equations of hydrodynamic type. (English. Russian original) Zbl 0872.35084

Funct. Anal. Appl. 30, No. 1, 15-22 (1996); translation from Funkts. Anal. Prilozh. 30, No. 1, 18-29 (1996).
Reviewer: O.Dementev (Chelyabinsk)
MSC:  35Q35 37J35 37K10
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\textit{M. V. Pavlov} et al., Funct. Anal. Appl. 30, No. 1, 15--22 (1996; Zbl 0872.35084); translation from Funkts. Anal. Prilozh. 30, No. 1, 18--29 (1996)
Full Text: DOI arXiv
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Tsarev, Serguei P.

On the integrability of the averaged KdV and Benney equations. (English) Zbl 0849.35123

Ercolani, N. M. (ed.) et al., Singular limits of dispersive waves. Proceedings of a NATO advanced research workshop, Lyons, France, July 8-12, 1991. New York, NY: Plenum. NATO ASI Ser., Ser. B, Phys. 320, 143-155 (1994).
MSC:  35Q53 37J35 37K10 58J72
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\textit{S. P. Tsarev}, in: Singular limits of dispersive waves. Proceedings of a NATO advanced research workshop, Lyons, France, July 8-12, 1991. New York, NY: Plenum. 143--155 (1994; Zbl 0849.35123)
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Pavlov, M. V.; Svinolupov, S. I.; Sharipov, R. A.

An invariance criterion for the integrability of systems of equations of hydrodynamic type. (Russian) Zbl 0981.37026

Kalyakin, L. A. (ed.), Integrability of dynamical systems. Ufa: RAN. Institut Matematiki s Vychislitel’nym Tsentrom. 27-48 (1994).
Reviewer: Messoud Efendiev (Berlin)
MSC:  37K10 35Q35
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\textit{M. V. Pavlov} et al., in: Integriruemost' v dinamicheskikh sistemakh. Ufa: RAN. Institut Matematiki s Vychislitel'nym Tsentrom. 27--48 (1994; Zbl 0981.37026)
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Galaktionov, E. V.; Zilberglejt, A. S.

Attractors of hydrodynamic-type systems. (English) Zbl 0802.34065

Koptev, Yu. I. (ed.), Mathematical physics, applied mathematics and informatics. Commack, NY: Nova Science Publishers, Inc.. 231-266 (1993).
Reviewer: N.Medvedeva (Chelyabinsk)
MSC:  34D45 37D45 34-02
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\textit{E. V. Galaktionov} and \textit{A. S. Zilberglejt}, in: Mathematical physics, applied mathematics and informatics. Commack, NY: Nova Science Publishers, Inc.. 231--266 (1993; Zbl 0802.34065)
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Novikov, S. P.

Hydrodynamics of soliton lattices: Differential geometry and Hamiltonian formalism. (English) Zbl 0822.35114

Girardi, M. (ed.) et al., Progress in variational methods in Hamiltonian systems and elliptic equations. Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 243, 144-156 (1992).
Reviewer: J.Chrastina (Brno)
MSC:  35Q51 37J99 39A12
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\textit{S. P. Novikov}, in: Progress in variational methods in Hamiltonian systems and elliptic equations. Harlow: Longman Scientific \& Technical; New York: Wiley. 144--156 (1992; Zbl 0822.35114)
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Germain, Paul (ed.); Piau, Monique (ed.); Caillerie, Denis (ed.)

Theoretical and applied mechanics. Proceedings of the XVIIth international congress of theoretical and applied mechanics, held in Grenoble, France, 21-27 August, 1988. (English) Zbl 0686.73001

International Union of Theoretical and Applied Mechanics (IUTAM). Amsterdam etc.: North-Holland. xxxix, 454 p. $ 144.75; Dfl 275.00 (1989).
Reviewer: M.N.L.Narasimhan
MSC:  74-06 76-06 86-06 70K50 76Exx 74R99 37G99 35B32 37D45 76T99 74Cxx 74L10 76U05 76F99 74L05 74H55
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\textit{P. Germain} (ed.) et al., Theoretical and applied mechanics. Proceedings of the XVIIth international congress of theoretical and applied mechanics, held in Grenoble, France, 21-27 August, 1988. Amsterdam etc.: North-Holland (1989; Zbl 0686.73001)
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Dubrovin, B. A.; Novikov, S. P.

Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory. (English. Russian original) Zbl 0712.58032

Russ. Math. Surv. 44, No. 6, 35-124 (1989); translation from Usp. Mat. Nauk 44, No. 6(270), 29-98 (1989).
MSC:  37J35 37K10 53C20 58-02 35Q51 35G10 35K25 76-02 76Y05
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\textit{B. A. Dubrovin} and \textit{S. P. Novikov}, Russ. Math. Surv. 44, No. 6, 35--124 (1989; Zbl 0712.58032); translation from Usp. Mat. Nauk 44, No. 6(270), 29--98 (1989)
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