Darboux transformations between \(\Delta \alpha=\text{sinh}\alpha\) and \(\Delta\alpha=\sin \alpha\) and the application to pseudo-spherical congruences in \(\mathbb{R}^{2,1}\)

DOI10.1023/A:1007583627973zbMath0933.35185OpenAlexW340100640MaRDI QIDQ1306784

He-Sheng Hu

Publication date: 29 March 2000

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1007583627973

zbMATH Keywords

Darboux transformationsinh-Laplace equationsine-Laplace equationpseudo-spherical congruence

Mathematics Subject Classification ID

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Global Riemannian geometry, including pinching (53C20) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

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