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
yuanshen@bupt.edu.cn
b
tian_bupt@163.com
Received:
13
March
2023
Accepted:
30
July
2023
Published online:
23
August
2023
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.
