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.File in questo prodotto:
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