Abstract
Classical theory of solitons was based on two main examples: the KdV equation [1] and Toda lattice [2]. The role of continuous space variable x in the first example is played by discrete integer valued variable n in the second one. So discrete space was not foreign to the soliton theory from its very beginning.
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Faddeev, L., Volkov, A. (1997). Quantum Integrable Models on 1 + 1 Discrete Space Time. In: ’t Hooft, G., Jaffe, A., Mack, G., Mitter, P.K., Stora, R. (eds) Quantum Fields and Quantum Space Time. NATO ASI Series, vol 364. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1801-7_4
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