We use a zero-curvature method together with an approximation process to find solutions of all equations in a commuting hierarchy containing the Korteweg-de Vries (K-dV) equation, when the initial condition satisfies the “infinite order stationary K-dV equation” and determines a Schroedinger potential lying in the class of “reflectionless” Sturm-Liouville potentials.

On infinite order K-dV hierarchies

ZAMPOGNI, Luca
2009

Abstract

We use a zero-curvature method together with an approximation process to find solutions of all equations in a commuting hierarchy containing the Korteweg-de Vries (K-dV) equation, when the initial condition satisfies the “infinite order stationary K-dV equation” and determines a Schroedinger potential lying in the class of “reflectionless” Sturm-Liouville potentials.
2009
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/170505
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