Algebraic properties of Gardner's deformations for integrable systems

Details Algebraic properties of Gardner's deformations for integrable systems Algebraic properties of Gardner's deformations for integrable systems

2006-10-30

arxiv.org/abs/nlin/0610072v3

Theor. Math. Phys. (2007) 152:1, 96-112.

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Proc. conf. "Nonlinear Physics: Theory and Experiment IV" (Gallipoli, 2006); Theor. Math. Phys. (2007) 151:3/152:1-2, 16p. (to

Scientific paper

10.1007/s11232-007-0081-5

An algebraic definition of Gardner's deformations for completely integrable
bi-Hamiltonian evolutionary systems is formulated. The proposed approach
extends the class of deformable equations and yields new integrable
evolutionary and hyperbolic Liouville-type systems. An exactly solvable
two-component extension of the Liouville equation is found.

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