Geodesic
Algebraic properties of Gardner's deformations for integrable systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 152 (2007) no. 1, pp. 101-117 Cet article a éte moissonné depuis la source Math-Net.Ru

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We formulate an algebraic definition of Gardner's deformations for completely integrable bi-Hamiltonian evolutionary systems. The proposed approach extends the class of deformable equations and yields new integrable evolutionary and hyperbolic Liouville-type systems. We find an exactly solvable two-component extension of the Liouville equation.
Keywords: Gardner's deformation, integrable family, adjoint system, Hamiltonian, recursion relation. 
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A. V. Kiselev. Algebraic properties of Gardner's deformations for integrable systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 152 (2007) no. 1, pp. 101-117. http://geodesic.mathdoc.fr/item/TMF_2007_152_1_a7/

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