It is known that a transform of Liouville type allows one to pass from an equation of the Korteweg-de Vries (K-dV) hierarchy to a corresponding equation of the Camassa-Holm (CH) hierarchy. We give a systematic development of the correspondence between these hierarchies by using the coefficients of asymptotic expansions of certain Green’s functions. We illustrate our procedure with some examples.

On the Camassa-Holm and K-dV hierarchies / R. Johnson; L. Zampogni. - In: JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS. - ISSN 1040-7294. - STAMPA. - 22:(2010), pp. 331-366. [10.1007/s10884-010-9167-0]

On the Camassa-Holm and K-dV hierarchies

JOHNSON, RUSSELL ALLAN;
2010

Abstract

It is known that a transform of Liouville type allows one to pass from an equation of the Korteweg-de Vries (K-dV) hierarchy to a corresponding equation of the Camassa-Holm (CH) hierarchy. We give a systematic development of the correspondence between these hierarchies by using the coefficients of asymptotic expansions of certain Green’s functions. We illustrate our procedure with some examples.
2010
22
331
366
R. Johnson; L. Zampogni
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/395875
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