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nlin.SI2012★ 2 cited
New Applications of Quantum Algebraically Integrable Systems in Fluid Dynamics
Anne Boutet de Monvel, Igor Loutsenko, Oksana Yermolayeva
The rational quantum algebraically integrable systems are non-trivial generalizations of Laplacian operators to the case of elliptic operators with variable coefficients. We study…
nlin.SI2012
The Degasperis-Procesi equation on the half-line
Jonatan Lenells
We analyze a class of initial-boundary value problems for the Degasperis-Procesi equation on the half-line. Assuming that the solution exists, we show that it can be recov…