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1

Albeverio, Sergio, Friedrich Gesztesy, Raphael Høegh-Krohn, and Helge Holden. Solvable Models in Quantum Mechanics. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-642-88201-2.

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2

Sergio, Albeverio, ed. Solvable models in quantum mechanics. New York: Springer-Verlag, 1988.

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3

Albeverio, Sergio. Solvable Models in Quantum Mechanics. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988.

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4

1946-, Exner Pavel, and Albeverio Sergio, eds. Solvable models in quantum mechanics. 2nd ed. Providence, R.I: AMS Chelsea Pub., 2005.

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5

Minoru, Takahashi. Thermodynamics of one-dimensional solvable models. Cambridge, U.K: Cambridge University Press, 1999.

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6

Jimbo, M. Algebraic analysis of solvable lattice models. Providence: Published for the Conference Board of the Mathematical Sciences by the American Mathematcal Society, 1995.

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7

Shiraishi, Junʼichi. Kakai kōshi mokei no saikin no shinten =: Solvable lattice models, 2004 : recent progress on solvable lattice models. [Kyoto]: Kyōto Daigaku Sūri Kaiseki Kenkyūjo, 2006.

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8

Ushveridze, Alexander G. Quasi-exactly solvable models in quantum mechanics. Bristol [England]: Institute of Physics Pub., 1994.

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9

Rychnovsky, Mark. Some Exactly Solvable Models And Their Asymptotics. [New York, N.Y.?]: [publisher not identified], 2021.

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10

Wang, Yupeng, Wen-Li Yang, Junpeng Cao, and Kangjie Shi. Off-Diagonal Bethe Ansatz for Exactly Solvable Models. Berlin, Heidelberg: Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-46756-5.

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11

Kikuchi, Tetsuya. Studies on commuting difference systems arising from solvable lattice models. Sendai, Japan: Tohoku University, 2000.

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12

Saravanan, Rajendran, and Aniruddha Chakraborty. Solvable One-Dimensional Multi-State Models for Statistical and Quantum Mechanics. Singapore: Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-6654-4.

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13

Pakuliak, S., and G. Gehlen, eds. Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory. Dordrecht: Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-010-0670-5.

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14

Vladimir, Rittenberg, Grimm Uwe, and Baake Michael, eds. Perspectives on solvable models: Dedicated to Vladimir Rittenberg on the occasion of his 60th birthday. Singapore: World Scientific, 1994.

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15

Bleher, Pavel. Random matrices and the six-vertex model. Providence, Rhode Island, USA: American Mathematical Society, 2014.

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16

Humanez, Primitivo B. Acosta. Algebraic aspects of Darboux transformations, quantum integrable systems, and supersymmetric quantum mechanics. Providence, R.I: American Mathematical Society, 2012.

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17

Grimm, Uwe, and Michael Baake. Perspectives on Solvable Models. WORLD SCIENTIFIC, 1995. http://dx.doi.org/10.1142/2609.

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18

Albeverio, Sergio, Friedrich Gesztesy, and Raphael Hoegh-Krohn. Solvable Models in Quantum Mechanics. Springer, 2012.

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19

S, Albeverio, ed. Solvable models in quantum mechanics. New York, 1988.

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20

Takahashi, Minoru. Thermodynamics of One-Dimensional Solvable Models. Cambridge University Press, 2011.

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21

Takahashi, Minoru. Thermodynamics of One-Dimensional Solvable Models. Cambridge University Press, 2005.

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22

Petrovskii, Sergei V., and Bai-Lian Li. Exactly Solvable Models of Biological Invasion. Taylor & Francis Group, 2005.

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23

Takahashi, Minoru. Thermodynamics of One-Dimensional Solvable Models. Cambridge University Press, 2009.

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24

Petrovskii, Sergei V., and Bai-Lian Li. Exactly Solvable Models of Biological Invasion. Taylor & Francis Group, 2019.

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25

Petrovskii, Sergei V., and Bai-Lian Li. Exactly Solvable Models of Biological Invasion. Taylor & Francis Group, 2005.

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26

Ushveridze, A. G. Quasi-Exactly Solvable Models in Quantum Mechanics. Taylor & Francis Group, 2017.

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27

Ushveridze, A. G. Quasi-Exactly Solvable Models in Quantum Mechanics. Taylor & Francis Group, 2017.

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28

Conformal Field Theory and Solvable Lattice Models. Elsevier, 1988. http://dx.doi.org/10.1016/b978-0-12-385340-0.x5001-3.

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29

Korepin, Vladimir E., and Fabian H. L. Eβler. Exactly Solvable Models of Strongly Correlated Electrons. WORLD SCIENTIFIC, 1994. http://dx.doi.org/10.1142/2148.

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30

Ushveridze, Alexander G. Quasi-exactly solvable models in quantum mechanics. CRC Press, 2017. http://dx.doi.org/10.1201/9780203741450.

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31

Conformal field theory and solvable lattice models. Orlando, Fla: Academic Press, 1988.

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32

Exactly solvable models of strongly correlated electrons. Singapore: World Scientific, 1994.

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33

Ushveridze, A. G. Quasi-Exactly Solvable Models in Quantum Mechanics. Taylor & Francis Group, 2019.

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34

Ushveridze, A. G. Quasi-Exactly Solvable Models in Quantum Mechanics. Taylor & Francis Group, 2017.

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35

Ushveridze, A. G. Quasi-Exactly Solvable Models in Quantum Mechanics. Taylor & Francis Group, 2017.

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36

Jimbo, M. Conformal Field Theory and Solvable Lattice Models. Elsevier Science & Technology Books, 2012.

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37

Wang, Yupeng, Wen-Li Yang, Junpeng Cao, and Kangjie Shi. Off-Diagonal Bethe Ansatz for Exactly Solvable Models. Springer, 2015.

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38

Wang, Yupeng, Wen-Li Yang, Junpeng Cao, and Kangjie Shi. Off-Diagonal Bethe Ansatz for Exactly Solvable Models. Springer, 2016.

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39

Wang, Yupeng, Wen-Li Yang, Junpeng Cao, and Kangjie Shi. Off-Diagonal Bethe Ansatz for Exactly Solvable Models. Springer, 2015.

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40

Albeverio, Sergio, H. Holden, Friedrich Gesztesy, and Raphael Hoegh-Krohn. Solvable Models in Quantum Mechanics (Theoretical and Mathematical Physics). Springer, 1988.

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41

Petrovskii, Sergei V., and Bai-Lian Li. Exactly Solvable Models of Biological Invasion (Mathematical Biology and Medicine). Chapman & Hall/CRC, 2005.

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42

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.
43

Petrovskii, Sergei V. Exactly Solvable Models of Biological Invasion. Mathematical Biology and Medicine Series. Taylor & Francis Group, 2006.

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44

Angilella, G. G. N., and Norman H. March. Exactly Solvable Models for Cluster and Many-Body Condensed Matter Systems. World Scientific Publishing Co Pte Ltd, 2016.

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45

Saravanan, Rajendran, and Aniruddha Chakraborty. Solvable One-Dimensional Multi-State Models for Statistical and Quantum Mechanics. Springer Singapore Pte. Limited, 2021.

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46

Saravanan, Rajendran, and Aniruddha Chakraborty. Solvable One-Dimensional Multi-State Models for Statistical and Quantum Mechanics. Springer, 2022.

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47

(Editor), S. Pakuliak, and G. von Gehlen (Editor), eds. Integrable Structures of Exactly Solvable Two Dimensional Models of Quantum Field Theory. Springer, 2001.

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48

Lukyanov, S. L. Additional Symmetries and Exactly Solvable Models in Two Dimensional Conformal Field Theory. Routledge, 1991.

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49

Solvable lattice models with minimal and nonunitary critical behaviour in two dimensions. 1989.

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50

Pakuliak, S., and G. von Gehlen. Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory. Springer, 2012.

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