https://doi.org/10.1140/epjp/s13360-023-04331-4
Regular Article
Hybrid relativistic and modified Toda lattice-type system: equivalent form, N-fold Darboux transformation and analytic solutions
State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, 100876, Beijing, China
a
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Received:
13
March
2023
Accepted:
30
July
2023
Published online:
23
August
2023
Abstract
Studies of the lattice systems are of current interest due to their applications in relativity, optics, condensed matter physics and plasma physics. In this paper, we look into a hybrid relativistic and modified Toda lattice-type system. An equivalent form of that system is provided by virtue of certain transformations. Based on the Lax pair of that equivalent form, we construct an N-fold Darboux matrix and then derive the N-fold Darboux transformation, where N is a positive integer. Some analytic solutions are determined with the help of the associated N-fold Darboux transformation.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
