article · Inverse Problems · 1989
Dimensional deformations of integrable systems: I. An approach to integrability in multidimensions
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Abstract
The author proposes an approach, the dimensional deformations of integrable systems, to generate in a natural straightforward and unified manner high-dimensional analogues of integrable systems. In this approach based on the theory developed by Fokas and the author (1988) describing the algebraic aspects of integrability, the author explores the algebraic structure of given integrable systems, with the goal of generating integrable generalisations in higher dimensions. This approach is illustrated in several examples, and known as well as novel integrable systems are derived. The simplicity of the method also allows one to single out the theoretical and technical problems responsible for the almost total absence of integrable structures in multidimensions.
Cite this paper
Santini, P. M. (1989). Dimensional deformations of integrable systems: I. An approach to integrability in multidimensions. Inverse Problems, 5(1), 67–86. https://doi.org/10.1088/0266-5611/5/1/009
Santini, P. M. “Dimensional deformations of integrable systems: I. An approach to integrability in multidimensions.” Inverse Problems, vol. 5, no. 1, 1989, pp. 67–86, https://doi.org/10.1088/0266-5611/5/1/009.
Santini, P. M. 1989. “Dimensional deformations of integrable systems: I. An approach to integrability in multidimensions.” Inverse Problems 5 (1): 67–86. https://doi.org/10.1088/0266-5611/5/1/009.
Santini, P.M. (1989) ‘Dimensional deformations of integrable systems: I. An approach to integrability in multidimensions’, Inverse Problems, 5(1), pp. 67–86. Available at: https://doi.org/10.1088/0266-5611/5/1/009.
@article{santini1989dimensional,
title = {{Dimensional deformations of integrable systems: I. An approach to integrability in multidimensions}},
author = {Santini, P. M.},
journal = {Inverse Problems},
volume = {5},
number = {1},
pages = {67--86},
year = {1989},
doi = {10.1088/0266-5611/5/1/009}
}Made from the index record. Check names, capitalisation and page numbers against the paper. Need another style? AI for Research has over 10,000.