Hodograph solutions for the generalized dKP equation

Details Hodograph solutions for the generalized dKP equation Hodograph solutions for the generalized dKP equation

2009-04-29

arxiv.org/abs/0904.4595v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

19 pages

Scientific paper

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.

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