Inverse scattering transform for the Toda hierarchy with steplike finite-gap backgrounds

Details Inverse scattering transform for the Toda hierarchy with steplike finite-gap backgrounds Inverse scattering transform for the Toda hierarchy with steplike finite-gap backgrounds

2009-05-12

arxiv.org/abs/0905.1800v2

J. Math. Phys. 50, 103521 (2009)

Nonlinear Sciences

Exactly Solvable and Integrable Systems

10 pages

Scientific paper

10.1063/1.3239507

We provide a rigorous treatment of the inverse scattering transform for the
entire Toda hierarchy for solutions which are asymptotically close to (in
general) different finite-gap solutions as $n\to\pm\infty$.

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