A class of solutions of the dispersionless KP equation

We construct a class of (complex-valued) solutions to the dispersionless KP equation using a meromorphic function on a plane algebraic curve as a variable dependent on suitable Abelian integrals.

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Bibliographic Details
Published in:Physics letters. A 2009-08, Vol.373 (34), p.3001-3004
Main Authors: Matsutani, Shigeki, Previato, Emma
Format: Article
Language:English
Subjects:
Dispersionless hierarchies
Jacobian
Sigma function
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Description
Summary:We construct a class of (complex-valued) solutions to the dispersionless KP equation using a meromorphic function on a plane algebraic curve as a variable dependent on suitable Abelian integrals.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2009.06.063