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math-ph2018★ 2 cited
The Gross-Pitaevskii equation: Bäcklund transformations and admitted solutions
Sandra Carillo, Federico Zullo
Bäcklund transformations are applied to study the Gross-Pitaevskii equation. Supported by previous results, a class of Bäcklund transformations admitted by this equation are constr…
math-ph2017★ 7 cited
Ermakov-Pinney and Emden-Fowler equations: new solutions from novel Bäcklund transformations
Sandra Carillo, Federico Zullo
The class of nonlinear ordinary differential equations , where F is a smooth function, is studied. Various nonlinear ordinary differential equations,…
math-ph2015★ 4 cited
A q-difference Baxter's operator for the Ablowitz-Ladik chain
Federico Zullo
We construct the Baxter's operator and the corresponding Baxter's equation for a quantum version of the Ablowitz Ladik model. The result is achieved by looking at the quantum analo…