Hodograph solutions for the generalized dKP equation

Abstract

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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Cited by in corpus (3)

• Integrability of the Manakov--Santini hierarchy
• Hierarchies of Manakov-Santini Type by Means of Rota-Baxter and Other Identities
• 1+1 spectral problems arising from the Manakov-Santini system