A Generalized Dressing Approach for Solving the Extended KP and the Extended mKP Hierarchy

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dc.creatorLiu, Xiaojun
dc.creatorLin, Runliang
dc.creatorJin, Bo
dc.creatorZeng, Yunbo
dc.date2009-05-09
dc.date.accessioned2026-07-07T13:13:31Z
dc.date.available2026-07-07T13:13:31Z
dc.descriptionA combination of dressing method and variation of constants as well as a formula for constructing the eigenfunction is used to solve the extended KP hierarchy, which is a hierarchy with one more series of time-flow and based on the symmetry constaint of KP hierarchy. Similarly, extended mKP hierarchy is formulated and its zero curvature form, Lax representation and reductions are presented. Via gauge transformation, it is easy to transform dressing solutions of extended KP hierarchy to the solutions of extended mKP hierarchy. Wronskian solutions of extended KP and extended mKP hierarchies are constructed explicitly.
dc.descriptionrevtex4
dc.identifierhttps://arxiv.org/abs/0905.1402
dc.identifierhttp://arxiv.org/abs/0905.1402
dc.identifierJournal of Mathematical Physics, vol 50, 053506 (2009)
dc.identifierdoi:10.1063/1.3126494
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229916
dc.subjectExactly Solvable and Integrable Systems
dc.titleA Generalized Dressing Approach for Solving the Extended KP and the Extended mKP Hierarchy
dc.typetext

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