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Books on the topic 'Integrable'

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Author: Grafiati

Published: 4 June 2021

Last updated: 21 February 2023

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1

Integrable models. Singapore: World Scientific, 1989.

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2

Babelon, Olivier, Yvette Kosmann-Schwarzbach, and Pierre Cartier, eds. Integrable Systems. Boston, MA: Birkhäuser Boston, 1993. http://dx.doi.org/10.1007/978-1-4612-0315-5.

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3

Xing-Chang, Song, ed. Integrable systems. Singapore: World Scientific, 1990.

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4

Duistermaat, J. J. Discrete Integrable Systems. New York, NY: Springer New York, 2010. http://dx.doi.org/10.1007/978-0-387-72923-7.

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5

Gerdjikov, V. S., G. Vilasi, and A. B. Yanovski, eds. Integrable Hamiltonian Hierarchies. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-77054-1.

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6

Konopelchenko, B. G., ed. Nonlinear Integrable Equations. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/3-540-17567-9.

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7

Grammaticos, Basil, Thamizharasi Tamizhmani, and Yvette Kosmann-Schwarzbach, eds. Discrete Integrable Systems. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/b94662.

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8

Anindya, Ghose Choudhury, ed. Quantum integrable systems. Boca Raton: Chapman & Hall/CRC, 2003.

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9

1946-, Grammaticos B., Kosmann-Schwarzbach Yvette 1941-, and Tamizhmani T, eds. Discrete integrable systems. Berlin: Springer, 2004.

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10

D. J. J. F. Farnell. Integrable and non-integrablequantumarrays. Manchester: UMIST, 1994.

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11

Japan) RIMS Conference "Expansion of Integrable Systems" (2008 Kyoto. Expansion of integrable systems. Kyoto: Research Institute for Mathematical Sciences, Kyoto University, 2009.

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12

1946-, Kupershmidt Boris A., ed. Integrable and superintegrable systems. Singapore: World Scientific, 1990.

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13

Bonora, L., G. Mussardo, A. Schwimmer, L. Girardello, and M. Martellini, eds. Integrable Quantum Field Theories. Boston, MA: Springer US, 1993. http://dx.doi.org/10.1007/978-1-4899-1516-0.

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14

Aratyn, Henrik, Tom D. Imbo, Wai-Yee Keung, and Uday Sukhatme, eds. Supersymmetry and Integrable Models. Berlin, Heidelberg: Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/bfb0105309.

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15

Balabane, M., P. Lochak, and C. Sulem, eds. Integrable Systems and Applications. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/bfb0035656.

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16

Gohberg, Israel, Nenad Manojlovic, and António Ferreira dos Santos, eds. Factorization and Integrable Systems. Basel: Birkhäuser Basel, 2003. http://dx.doi.org/10.1007/978-3-0348-8003-9.

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17

Albert, Claude, Robert Brouzet, and Jean Paul Dufour, eds. Integrable Systems and Foliations. Boston, MA: Birkhäuser Boston, 1996. http://dx.doi.org/10.1007/978-1-4612-4134-8.

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18

Hoppe, Jens. Lectures on Integrable Systems. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-540-47274-2.

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19

Alekseev, Anton, Antero Hietamäki, Katri Huitu, Alexei Morozov, and Antti Niemi, eds. Integrable Models and Strings. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/3-540-58453-6.

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20

Lectures on integrable systems. Berlin: Springer-Verlag, 1992.

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21

Fedorov, Y. N. A memoir on integrable systems. New York: Springer, 2003.

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22

Iohara, Kenji. Symmetries, Integrable Systems and Representations. London: Springer London, 2013.

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23

1940-, Pinsky Mark A., Birnir Björn, and McKean Henry P, eds. Probability, geometry, and integrable systems. Cambridge: Cambridge University Press, 2008.

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24

P, Fordy Allan, and Wood John C, eds. Harmonic maps and integrable systems. Braunschweig: F. Vieweg, 1994.

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25

Integrable systems in celestial mechanics. Boston: Birkhäuser, 2008.

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26

Guest, Martin, Reiko Miyaoka, and Yoshihiro Ohnita, eds. Differential Geometry and Integrable Systems. Providence, Rhode Island: American Mathematical Society, 2002. http://dx.doi.org/10.1090/conm/308.

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27

Guest, Martin, Reiko Miyaoka, and Yoshihiro Ohnita, eds. Integrable Systems, Topology, and Physics. Providence, Rhode Island: American Mathematical Society, 2002. http://dx.doi.org/10.1090/conm/309.

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28

Athorne, Chris, Diane Maclagan, and Ian Strachan, eds. Tropical Geometry and Integrable Systems. Providence, Rhode Island: American Mathematical Society, 2012. http://dx.doi.org/10.1090/conm/580.

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29

Gu, Chaohao, Hesheng Hu, and Zixiang Zhou. Darboux Transformations in Integrable Systems. Dordrecht: Springer Netherlands, 2005. http://dx.doi.org/10.1007/1-4020-3088-6.

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30

Donagi, Ron, Boris Dubrovin, Edward Frenkel, and Emma Previato. Integrable Systems and Quantum Groups. Edited by Mauro Francaviglia and Silvio Greco. Berlin, Heidelberg: Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/bfb0094791.

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31

Fomenko, A., ed. Topological Classification of Integrable Systems. Providence, Rhode Island: American Mathematical Society, 1991. http://dx.doi.org/10.1090/advsov/006.

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32

Baik, Jinho, Thomas Kriecherbauer, Luen-Chau Li, Kenneth D. T. R. McLaughlin, and Carlos Tomei, eds. Integrable Systems and Random Matrices. Providence, Rhode Island: American Mathematical Society, 2008. http://dx.doi.org/10.1090/conm/458.

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33

Konopelchenko, B. G. Introduction to Multidimensional Integrable Equations. Edited by C. Rogers. Boston, MA: Springer US, 1992. http://dx.doi.org/10.1007/978-1-4899-1170-4.

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34

Fokas, A. S., and I. M. Gelfand, eds. Algebraic Aspects of Integrable Systems. Boston, MA: Birkhäuser Boston, 1997. http://dx.doi.org/10.1007/978-1-4612-2434-1.

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35

Iohara, Kenji, Sophie Morier-Genoud, and Bertrand Rémy, eds. Symmetries, Integrable Systems and Representations. London: Springer London, 2013. http://dx.doi.org/10.1007/978-1-4471-4863-0.

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36

Fordy, A. P., and J. C. Wood, eds. Harmonic Maps and Integrable Systems. Wiesbaden: Vieweg+Teubner Verlag, 1994. http://dx.doi.org/10.1007/978-3-663-14092-4.

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37

1937-, Arnolʹd V. I., and Novikov Sergeĭ Petrovich, eds. Integrable systems nonholonomic dynamical systems. Berlin: Springer-Verlag, 1994.

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38

1963-, Suris Yuri B., ed. Discrete differential geometry: Integrable structure. Providence, R.I: American Mathematical Society, 2008.

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39

Chowdhury, A. R. Lie algebraic methods in integrable systems. Boca Raton: Chapman & Hall/CRC, 2000.

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40

1957-, Bates Larry M., ed. Global aspects of classical integrable systems. Basel: Birkhäuser Verlag, 1997.

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41

Séminaire, sud-rhodanien de géométrie (6th 1989 Berkeley Calif ). Symplectic geometry, groupoids, and integrable systems. New York: Springer-Verlag, 1991.

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42

Audin, Michèle. Symplectic geometry of integrable Hamiltonian systems. Basel: Birkhäuser Verlag, 2004.

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43

Kozlov, V. V. Integrable and Non-Integrable Hamiltonian Systems. Routledge, 1989.

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44

Lesfari, Ahmed. Integrable Systems. Wiley & Sons, Incorporated, John, 2022.

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45

Lesfari, Ahmed. Integrable Systems. Wiley & Sons, Incorporated, John, 2022.

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46

Novikov, I. S. Integrable Systems. Cambridge University Press, 2011.

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47

Lesfari, Ahmed. Integrable Systems. Wiley & Sons, Incorporated, John, 2022.

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48

Terng, Chuu-Lian. Integrable Systems. International Press of Boston, Incorporated, 2010.

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49

Lesfari, Ahmed. Integrable Systems. Wiley & Sons, Incorporated, John, 2022.

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50

Rajeev, S. G. Integrable Models. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805021.003.0009.

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Abstract:

Some exceptional situations in fluid mechanics can be modeled by equations that are analytically solvable. The most famous example is the Korteweg–de Vries (KdV) equation for shallow water waves in a channel. The exact soliton solution of this equation is derived. The Lax pair formalism for solving the general initial value problem is outlined. Two hamiltonian formalisms for the KdV equation (Fadeev–Zakharov and Magri) are explained. Then a short review of the geometry of curves (Frenet–Serret equations) is given. They are used to derive a remarkably simple equation for the propagation of a kink along a vortex filament. This equation of Hasimoto has surprising connections to the nonlinear Schrödinger equation and to the Heisenberg model of ferromagnetism. An exact soliton solution is found.

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