B Konopelchenko et al 2001 J. Phys. A: Math. Gen. 34 10209 doi:10.1088/0305-4470/34/47/322
The 
-approach to the dispersionless KP hierarchy
B Konopelchenko1, L Martínez Alonso2 and O Ragnisco3
Show affiliations The dispersionless limit of the scalar nonlocal 
-problem is derived. It is given by a special class of nonlinear first-order equations. A quasiclassical version of the -dressing method is presented. It is shown that the algebraic formulation of dispersionless hierarchies can be expressed in terms of properties of Beltrami-type equations. The universal Whitham hierarchy and, in particular, the dispersionless KP hierarchy turn out to be rings of symmetries for the quasiclassical -problem.
- PACS
- MSC
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- Dates
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Issue 47 (30 November 2001)
Received 9 March 2001, in final form 29 June 2001
Published 16 November 2001
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The -approach to the dispersionless KP hierarchy
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