Hodograph solutions for the generalized dKP equation

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We investigate the integrable $(2+1)$-dimensional generalized dispersionless KP (GdKP) equation (or Manakov-Santinit system) from the Lax-Sato form. Several particular three-component reductions are considered so that the GdKP equation can be reduced to hydrodynamic systems. Then one can construct infinite exact solutions of GdKP by the generalized hodograph method.
19 pages

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Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/228905

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0904.4595
 http://arxiv.org/abs/0904.4595

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arXiv