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    why do soliton equations come in hierarchies

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    Main article (488.5Kb)
    Downloads: 237
    Date
    1993-09
    Author
    Yordanov, R. G.
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    Abstract
    In this article, an identity satisfied by the so-called recursion operator is derived. The identity generates by itself an infinite sequence of Lax pairs, thus ensuring the complete integrability of the corresponding hierarchy of nonlinear evolution equations. It is also shown that this identity yields the familiar property that the squares of eigenfunctions of the associated linear spectral problem satisfy the linearized version of the respective soliton equation.
    URI
    http://hdl.handle.net/10919/47100
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    • Faculty Works, Department of Mathematics [225]

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