B\"acklund transformation for integrable systems
A. N. Leznov
TL;DR
This paper derives explicit Backlund transformations for well-known integrable systems, providing a systematic way to generate solutions and analyze their properties.
Contribution
It presents a new explicit formulation of Backlund transformations applicable to a broad class of integrable systems.
Findings
Explicit Backlund transformations for key integrable systems
Enhanced methods for solution generation
Potential applications in soliton theory
Abstract
We establish an explicit form of the Backlund transformation for the most known integrable systems.
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Taxonomy
TopicsNonlinear Waves and Solitons · Molecular spectroscopy and chirality