Dressing approach to the nonvanishing boundary value problem for the AKNS hierarchy

Details Dressing approach to the nonvanishing boundary value problem for the AKNS hierarchy Dressing approach to the nonvanishing boundary value problem for the AKNS hierarchy

2011-11-22

arxiv.org/abs/1111.5372v3

2012 J. Phys.: Conf. Ser. 343 012039

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Published version Proc. Quantum Theory and Symmetries 7 (QTS7)(Prague, Czech Republic, 2011)

Scientific paper

10.1088/1742-6596/343/1/012039

We propose an approach to the nonvanishing boundary value problem for
integrable hierarchies based on the dressing method. Then we apply the method
to the AKNS hierarchy. The solutions are found by introducing appropriate
vertex operators that takes into account the boundary conditions.

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