Document Search Results

Kronecker webs and nonlinear PDEs. (English) Zbl 07919729

Kielanowski, Piotr (ed.) et al., Geometric methods in physics XL, workshop, Białowieża, Poland, June 20–25, 2023. Cham: Birkhäuser. Trends Math., 455-471 (2024).

MSC: 37K10 53A60 37J35 53C07

Cite Review PDF

Full Text: DOI

Beffa, Gloria Marí

\(W_m\)-algebras and fractional powers of difference operators. (English) Zbl 07892742

Nonlinearity 37, No. 9, Article ID 095011, 19 p. (2024).

Reviewer: William J. Satzer Jr. (St. Paul)

MSC: 37J70 37J37 37J35 37K30 37K60 37K10 39A70 17B80 17B63

Cite Review PDF

Full Text: DOI arXiv

OA License

Liu, Si-Qi; Wang, Zhe; Zhang, Youjin

Variational bihamiltonian cohomologies and integrable hierarchies. III: Linear reciprocal transformations. (English) Zbl 07746835

Commun. Math. Phys. 403, No. 2, 1109-1152 (2023).

MSC: 37K10 37K06

Cite Review PDF

Full Text: DOI arXiv

Liu, Si-Qi; Wang, Zhe; Zhang, Youjin

Variational bihamiltonian cohomologies and integrable hierarchies. I: Foundations. (English) Zbl 1540.37091

Commun. Math. Phys. 401, No. 1, 985-1031 (2023).

MSC: 37K06 37K10 37K25 53D45 53D42 70S05 70S10

Cite Review PDF

Full Text: DOI arXiv

Bolsinov, Alexey V.; Konyaev, Andrey Yu.; Matveev, Vladimir S.

Applications of Nijenhuis geometry: non-degenerate singular points of Poisson-Nijenhuis structures. (English) Zbl 1515.37054

Eur. J. Math. 8, No. 4, 1355-1376 (2022).

Reviewer: Liviu Popescu (Craiova)

MSC: 37J39 37J35 37K25 37K10 53D20 53D17 53D22 70G45 70H06

Cite Review PDF

Full Text: DOI arXiv

OA License

Liu, Si-Qi; Wang, Zhe; Zhang, Youjin

Variational Bihamiltonian cohomologies and integrable hierarchies. II: Virasoro symmetries. (English) Zbl 1511.37079

Commun. Math. Phys. 395, No. 1, 459-519 (2022).

Reviewer: Arsen Melikyan (Brasília)

MSC: 37K10 37K25 37K20 37K06 53D45 57K16 57R56 81T40

Cite Review PDF

Full Text: DOI arXiv

Wu, Yemo; Xu, Xiurong; Zuo, Dafeng

Integrable systems, multicomponent twisted Heisenberg-Virasoro algebra and its central extensions. (English) Zbl 1472.35281

Front. Math. China 15, No. 6, 1231-1243 (2020).

MSC: 35Q31 17B68 32M10 37K10 76B15

Cite Review PDF

Full Text: DOI

Guha, Partha; Mukherjee, Indranil

Hierarchies and Hamiltonian structures of the nonlinear Schrödinger family using geometric and spectral techniques. (English) Zbl 1416.35238

Discrete Contin. Dyn. Syst., Ser. B 24, No. 4, 1677-1695 (2019).

MSC: 35Q55 37K10 37K30 35P99

Cite Review PDF

Full Text: DOI

Bartocci, Claudio; Tacchella, Alberto

Poisson-Nijenhuis structures on quiver path algebras. (English) Zbl 1383.16014

Lett. Math. Phys. 107, No. 7, 1265-1291 (2017).

MSC: 16G20 53D17 70H06

Cite Review PDF

Full Text: DOI arXiv

Zhang, Ling; Zuo, Dafeng

The super-bihamiltonian reduction on \(C^\infty(\mathbb S^1, OSP(1|2))\). (English) Zbl 1313.37066

Acta Math. Sci., Ser. B, Engl. Ed. 34, No. 2, 537-545 (2014).

MSC: 37K10 35Q51

Cite Review PDF

Full Text: DOI

Zhang, Ling; Zuo, Dafeng

Two supersymmetric hierarchies related to the super-HS spectral problem. (English) Zbl 1257.35182

Commun. Nonlinear Sci. Numer. Simul. 18, No. 2, 257-263 (2013).

MSC: 35Q82 37K10

Cite Review PDF

Full Text: DOI

Falqui, Gregorio; Pedroni, Marco

Poisson pencils, algebraic integrability, and separation of variables. (English) Zbl 1254.14040

Regul. Chaotic Dyn. 16, No. 3-4, 223-244 (2011).

Reviewer: Ahmed Lesfari (El Jadida)

MSC: 14H70 37J35 37K10 70H20

Cite Review PDF

Full Text: DOI arXiv

Rossi, Paolo

Integrable systems and holomorphic curves. (English) Zbl 1207.37049

Akbulut, Selman (ed.) et al., Proceedings of the 16th Gökova geometry-topology conference, Gökova, Turkey, May 25–30, 2009. Somerville, MA: International Press; Gökova: Gökova Geometry-Topology Conferences (ISBN 978-1-57146-199-5/pbk; 978-1-57146-196-4/pbk). 34-57 (2010).

Reviewer: Nicolai K. Smolentsev (Kemerovo)

MSC: 37K05 53D42 53D45 37K10 58D10 58D25

Cite Review PDF

Full Text: arXiv

Marí Beffa, Gloria

Hamiltonian evolution of curves in classical affine geometries. (English) Zbl 1163.37023

Physica D 238, No. 1, 100-115 (2009).

Reviewer: Dimitar A. Kolev (Sofia)

MSC: 37K10 37K05 37K25

Cite Review PDF

Full Text: DOI

Pelletier, Fernand; Cabau, Patrick

Generalized PN manifolds and separation of variables. (English) Zbl 1153.37395

Janeczko, Stanisław (ed.) et al., Geometry and topology of caustics — Caustics ’06. Proceedings of the 3rd Banach Center symposium, Warsaw, Poland, June 19–30, 2006. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 82, 163-181 (2008).

MSC: 37J05 37J15 37J20 53B50 53D05 53D17 53Z05

Cite Review PDF

Full Text: Link

Dubrovin, Boris; Liu, Si-Qi; Zhang, Youjin

Frobenius manifolds and central invariants for the Drinfeld-Sokolov bihamiltonian structures. (English) Zbl 1153.37032

Adv. Math. 219, No. 3, 780-837 (2008).

Reviewer: Dimitar A. Kolev (Sofia)

MSC: 37K10

Cite Review PDF

Full Text: DOI arXiv

Xue, Ting

On a reduction of the Kadomtsev-Petviashvili hierarchy. (English) Zbl 1099.35126

Tsinghua Sci. Technol. 11, No. 1, 111-116 (2006).

MSC: 35Q53 37K10

Cite Review PDF

Full Text: DOI

Guha, Partha

Bidifferential calculi, bicomplex structure and its application to bihamiltonian systems. (English) Zbl 1134.37354

Int. J. Geom. Methods Mod. Phys. 3, No. 2, 209-232 (2006).

MSC: 37J35 53D17 37K10

Cite Review PDF

Full Text: DOI

Khesin, B.; Levin, A.; Olshanetsky, M.

Bihamiltonian structures and quadratic algebras in hydrodynamics and on non-commutative torus. (English) Zbl 1074.37032

Commun. Math. Phys. 250, No. 3, 581-612 (2004).

MSC: 37K05 37K10 37K20 37N10 81R60

Cite Review PDF

Full Text: DOI arXiv

Khesin, Boris; Misiołek, Gerard

Euler equations on homogeneous spaces and Virasoro orbits. (English) Zbl 1017.37039

Adv. Math. 176, No. 1, 116-144 (2003).

Reviewer: Boris V.Loginov (Ulyanovsk)

MSC: 37K65 53D25 37D40

Cite Review PDF

Full Text: DOI arXiv

Getzler, Ezra

The Toda conjecture. (English) Zbl 1047.37046

Fukaya, K. (ed.) et al., Symplectic geometry and mirror symmetry. Proceedings of the 4th KIAS annual international conference, Seoul, South Korea, August 14–18, 2000. Singapore: World Scientific (ISBN 981-02-4714-1/hbk). 51-79 (2001).

MSC: 37K10 14N35 81T45 81T30 37K20

Cite Review PDF

Full Text: arXiv

Petalidou, Fani

On the simplectization of bi-Hamiltonian structures. (Sur la symplectisation de structures bihamiltoniennes.) (French) Zbl 0963.53048

Bull. Sci. Math. 124, No. 4, 255-286 (2000).

Reviewer: J.D.Zund (Las Cruces)

MSC: 53D05 37J05 37K05

Cite Review PDF

Full Text: DOI

Ibort, A.; Magri, F.; Marmo, G.

Bihamiltonian structures and Stäckel separability. (English) Zbl 0952.37028

J. Geom. Phys. 33, No. 3-4, 210-228 (2000).

Reviewer: Samir Musayev (Baku)

MSC: 37K10 37J35 37J05 70H06

Cite Review PDF

Full Text: DOI

Casati, Paolo

The bihamiltonian structure of the Drinfel’d-Sokolov hierarchies related to the affine twisted Lie algebras. (English) Zbl 0937.37034

Kolář, Ivan (ed.) et al., Differential geometry and applications. Proceedings of the 7th international conference, DGA 98, and satellite conference of ICM in Berlin, Brno, Czech Republic, August 10-14, 1998. Brno: Masaryk University. 581-592 (1999).

MSC: 37K05 37K30 81R10

Cite Review PDF

Full Text: EMIS

Turiel, Francisco-Javier

\(C^\infty\)-classification of germs of Veronese web. (\(C^\infty\)-classification des germes de tissus de Veronese.) (French) Zbl 0944.53010

C. R. Acad. Sci., Paris, Sér. I, Math. 329, No. 5, 425-428 (1999).

Reviewer: Vladislav V.Goldberg (Newark/New Jersey)

MSC: 53A60 37J05 57R15 53C15

Cite Review PDF

Full Text: DOI

Dubrovin, Boris

Flat pencils of metrics and Frobenius manifolds. (English) Zbl 0963.53054

Saito, M.-H. (ed.) et al., Integrable systems and algebraic geometry. Proceedings of the 41st Taniguchi symposium, Kobe, Japan, June 30-July 4, 1997, and in Kyoto, Japan, July 7-11 1997. Singapore: World Scientific. 47-72 (1998).

MSC: 53D45 37K10 37J05

Cite Review PDF

Full Text: arXiv

Dubrovin, Boris; Zhang, Youjin

Bihamiltonian hierarchies in 2D topological field theory at one-loop approximation. (English) Zbl 0923.58060

Commun. Math. Phys. 198, No. 2, 311-361 (1998).

MSC: 53D45 37K10 37K30 57R56 81T45 81R12

Cite Review PDF

Full Text: DOI arXiv

Magri, F.

[Casati, P.; Falqui, G.; Pedroni, M.]

Eight lectures on integrable systems. Written in collaboration with P. Casati, G. Falqui and M. Pedroni. (English) Zbl 0907.58031

Kosmann-Schwarzbach, Yvette (ed.) et al., Integrability of nonlinear systems. Proceedings of the CIMPA school, Pondicherry Univ., India, January 8–26, 1996. Berlin: Springer. Lect. Notes Phys. 495, 256-296 (1997).

Reviewer: Robert Carroll (Urbana)

MSC: 37J35 37K10 35Q51 53D17

Cite Review PDF

Nunes da Costa, J. M.

Reduction of higher Poisson-Nijenhuis manifolds by the Flaschka transformation. (English) Zbl 0889.58040

Artémiadis, N. K. (ed.) et al., Proceedings of the 4th international congress of geometry, Thessaloniki, Greece, May 26–June 1, 1996. Athens: Aristotle University of Thessaloniki. 319-326 (1997).

Reviewer: G.Zet (Iaşi)

MSC: 37J99 37J35 37K10

Cite Review PDF

Morosi, Carlo; Pizzocchero, Livio

\(r\)-matrix theory, formal Casimirs and the periodic Toda lattice. (English) Zbl 0863.58038

J. Math. Phys. 37, No. 9, 4484-4513 (1996).

MSC: 37J35 37K10 37J99

Cite Review PDF

Full Text: DOI

Frenkel, Edward

Deformations of the KdV hierarchy and related soliton equations. (English) Zbl 0860.17033

Int. Math. Res. Not. 1996, No. 2, 55-76 (1996).

Reviewer: J.Grabowski (Warszawa)

MSC: 17B65 35Q53 37J99 35Q58

Cite Review PDF

Full Text: DOI arXiv

Sibgatullin, Nail; Gatignol, Renée

Canonical variables for one Hamiltonian system. (English) Zbl 0861.70016

Mech. Res. Commun. 22, No. 6, 519-525 (1995).

Reviewer: M.de León (Madrid)

MSC: 70H05 37J99 37J35 37K10

Cite Review PDF

Full Text: DOI

Rigal, Marie-Hélène

Global geometry of regular bihamiltonian systems of maximal rank in dimension 5. (Géométrie globale des systèmes bihamiltoniens réguliers de rang maximum en dimension 5.) (French. Abridged English version) Zbl 0853.58055

C. R. Acad. Sci., Paris, Sér. I 321, No. 11, 1479-1484 (1995).

Reviewer: G.V.Khmelevskaja-Plotnikova (Namur)

MSC: 37J99 37C85 53A60

Cite Review PDF

Turiel, Francisco J.

Some remarks about bihamiltonian structures. (English) Zbl 0844.58036

Cañadas-Pinedo, M. A. (ed.) et al., WOGDA ’94. Proceedings of the 3rd fall workshop on differential geometry and its applications, Granada, Spain, September 26-27, 1994. Madrid: CIEMAT. An. Fís., Monogr. 2, 173-176 (1994).

Reviewer: M.Hurley (Cleveland)

MSC: 37J99 53C15

Cite Review PDF

Dubrovin, B.

Topological conformal field theory from the point of view of integrable systems. (English) Zbl 0860.58046

Bonora, L. (ed.) et al., Integrable quantum field theories. Proceedings of a NATO Advanced Research Workshop, Como, Italy, September 14-19, 1992. New York, NY: Plenum Press. NATO Advanced Study Institutes Series, Series B. 310, 283-302 (1993).

MSC: 58Z05 81T40 58E20 20F55

Cite Review PDF

Gelfand, Israel M.; Zakharevich, Ilya

On the local geometry of a bihamiltonian structure. (English) Zbl 0809.57013

Corwin, L. (ed.) et al., The Gelfand Seminars, 1990-1992. Basel: Birkhäuser. 51-112 (1993).

Reviewer: St.Janeczko (Warszawa)

MSC: 57R15 53C15 37J99

Cite Review PDF

Mehdi, Mohamad

Reduction of bihamiltonian manifolds and construction of the recursion operator. (Réduction des variétés bihamiltoniennes et construction de l’opérateur de récursion.) (French) Zbl 0770.58014

J. Geom. Phys. 9, No. 3, 225-234 (1992).

Reviewer: B.Valiño Alonso (Ciudao de La Habana)

MSC: 37J35 37K10

Cite Review PDF

Full Text: DOI

Casati, Paolo; Pedroni, Marco

Drinfeld-Sokolov reduction on a simple Lie algebra from the bihamiltonian point of view. (English) Zbl 0767.58019

Lett. Math. Phys. 25, No. 2, 89-101 (1992).

Reviewer: B.G.Konopelchenko (Novosibirsk)

MSC: 37J35 37K10 35Q53

Cite Review PDF

Full Text: DOI

Brouzet, Robert

Systèmes bihamiltoniens et complète intégrabilité en dimension 4: Étude géométrique semi-locale et contrexemples. (Bihamiltonian systems and complete integrability in dimension 4: the geometrical semilocal study and counterexamples). (French) Zbl 0734.70012

Sémin. Gaston Darboux Géom. Topologie Différ. 1989-1990, No. 4, 19-38 (1991).

MSC: 70H05 37J99 37J35 37K10 37A30

Cite Review PDF

Gelfand, Israel M.; Zakharevich, Ilya

Webs, Veronese curves, and bihamiltonian systems. (English) Zbl 0739.58021

J. Funct. Anal. 99, No. 1, 150-178 (1991).

Reviewer: D.Nguyen Huu (Dalat)

MSC: 37J99 53A60

Cite Review PDF

Full Text: DOI

Jodeit, Max jun.; Olver, Peter J.

On the equation grad \(f=M\) grad \(g\). (English) Zbl 0761.35017

Proc. R. Soc. Edinb., Sect. A 116, No. 3-4, 341-358 (1990).

MSC: 35F05 35G05

Cite Review PDF

Full Text: DOI

Morosi, C.; Tondo, G.

Reduction and deformation of bihamiltonian manifolds with symmetries. (English) Zbl 0719.58016

Rend. Mat. Appl., VII. Ser. 10, No. 1, 11-37 (1990).

Reviewer: E.D.Belokolos (Kiev)

MSC: 37J99 37J35 37K10 35Q58

Cite Review PDF

Adams, M. R.; Anderson, R. L.; Varley, R.

Remarks on integrable hierarchies in finite dimensions. (English) Zbl 0739.58026

Hamiltonian systems, transformation groups and spectral transform methods, Proc. CRM Workshop, Montréal/Can. 1989, 3-18 (1990).

Reviewer: I.J.Dorfman (Moskva)

MSC: 37J35 37K10 37C80 35Q53

Cite Review PDF

Brouzet, Robert

Sur quelques propriétés géométriques des variétés bihamiltoniennes. (On some geometric properties of bihamiltonian manifolds). (French) Zbl 0664.53018

C. R. Acad. Sci., Paris, Sér. I 308, No. 10, 287-292 (1989).

Reviewer: A.Crumeyrolle

MSC: 53C15 37J99

Cite Review PDF

Morosi, C.

Some remarks on the construction of bihamiltonian manifolds. (English) Zbl 0675.58014

Atti Semin. Mat. Fis. Univ. Modena 36, No. 2, 303-320 (1988).

Reviewer: K.Sibirskij

MSC: 37J99 70H99 17B99

Cite Review PDF

Found 45 Documents (Results 1–45)

Kronecker webs and nonlinear PDEs. (English) Zbl 07919729

\(W_m\)-algebras and fractional powers of difference operators. (English) Zbl 07892742

Variational bihamiltonian cohomologies and integrable hierarchies. III: Linear reciprocal transformations. (English) Zbl 07746835

Variational bihamiltonian cohomologies and integrable hierarchies. I: Foundations. (English) Zbl 1540.37091

Applications of Nijenhuis geometry: non-degenerate singular points of Poisson-Nijenhuis structures. (English) Zbl 1515.37054

Variational Bihamiltonian cohomologies and integrable hierarchies. II: Virasoro symmetries. (English) Zbl 1511.37079

Integrable systems, multicomponent twisted Heisenberg-Virasoro algebra and its central extensions. (English) Zbl 1472.35281

Hierarchies and Hamiltonian structures of the nonlinear Schrödinger family using geometric and spectral techniques. (English) Zbl 1416.35238

Poisson-Nijenhuis structures on quiver path algebras. (English) Zbl 1383.16014

The super-bihamiltonian reduction on \(C^\infty(\mathbb S^1, OSP(1|2))\). (English) Zbl 1313.37066

Two supersymmetric hierarchies related to the super-HS spectral problem. (English) Zbl 1257.35182

Poisson pencils, algebraic integrability, and separation of variables. (English) Zbl 1254.14040

Integrable systems and holomorphic curves. (English) Zbl 1207.37049

Hamiltonian evolution of curves in classical affine geometries. (English) Zbl 1163.37023

Generalized PN manifolds and separation of variables. (English) Zbl 1153.37395

Frobenius manifolds and central invariants for the Drinfeld-Sokolov bihamiltonian structures. (English) Zbl 1153.37032

On a reduction of the Kadomtsev-Petviashvili hierarchy. (English) Zbl 1099.35126

Bidifferential calculi, bicomplex structure and its application to bihamiltonian systems. (English) Zbl 1134.37354

Bihamiltonian structures and quadratic algebras in hydrodynamics and on non-commutative torus. (English) Zbl 1074.37032

Euler equations on homogeneous spaces and Virasoro orbits. (English) Zbl 1017.37039

The Toda conjecture. (English) Zbl 1047.37046

On the simplectization of bi-Hamiltonian structures. (Sur la symplectisation de structures bihamiltoniennes.) (French) Zbl 0963.53048

Bihamiltonian structures and Stäckel separability. (English) Zbl 0952.37028

The bihamiltonian structure of the Drinfel’d-Sokolov hierarchies related to the affine twisted Lie algebras. (English) Zbl 0937.37034

\(C^\infty\)-classification of germs of Veronese web. (\(C^\infty\)-classification des germes de tissus de Veronese.) (French) Zbl 0944.53010

Flat pencils of metrics and Frobenius manifolds. (English) Zbl 0963.53054

Bihamiltonian hierarchies in 2D topological field theory at one-loop approximation. (English) Zbl 0923.58060

Eight lectures on integrable systems. Written in collaboration with P. Casati, G. Falqui and M. Pedroni. (English) Zbl 0907.58031

Reduction of higher Poisson-Nijenhuis manifolds by the Flaschka transformation. (English) Zbl 0889.58040

\(r\)-matrix theory, formal Casimirs and the periodic Toda lattice. (English) Zbl 0863.58038

Deformations of the KdV hierarchy and related soliton equations. (English) Zbl 0860.17033

Canonical variables for one Hamiltonian system. (English) Zbl 0861.70016

Global geometry of regular bihamiltonian systems of maximal rank in dimension 5. (Géométrie globale des systèmes bihamiltoniens réguliers de rang maximum en dimension 5.) (French. Abridged English version) Zbl 0853.58055

Some remarks about bihamiltonian structures. (English) Zbl 0844.58036

Topological conformal field theory from the point of view of integrable systems. (English) Zbl 0860.58046

On the local geometry of a bihamiltonian structure. (English) Zbl 0809.57013

Reduction of bihamiltonian manifolds and construction of the recursion operator. (Réduction des variétés bihamiltoniennes et construction de l’opérateur de récursion.) (French) Zbl 0770.58014

Drinfeld-Sokolov reduction on a simple Lie algebra from the bihamiltonian point of view. (English) Zbl 0767.58019

Systèmes bihamiltoniens et complète intégrabilité en dimension 4: Étude géométrique semi-locale et contrexemples. (Bihamiltonian systems and complete integrability in dimension 4: the geometrical semilocal study and counterexamples). (French) Zbl 0734.70012

Webs, Veronese curves, and bihamiltonian systems. (English) Zbl 0739.58021

On the equation grad \(f=M\) grad \(g\). (English) Zbl 0761.35017

Reduction and deformation of bihamiltonian manifolds with symmetries. (English) Zbl 0719.58016

Remarks on integrable hierarchies in finite dimensions. (English) Zbl 0739.58026

Sur quelques propriétés géométriques des variétés bihamiltoniennes. (On some geometric properties of bihamiltonian manifolds). (French) Zbl 0664.53018

Some remarks on the construction of bihamiltonian manifolds. (English) Zbl 0675.58014

Filter Results by …

Document Type

Author

Serial

Year of Publication

Main Field

Software