Hodograph solutions for the generalized dKP equation
Exactly Solvable and Integrable Systems
2009-04-30 v1
Abstract
We investigate the integrable -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.
Keywords
Cite
@article{arxiv.0904.4595,
title = {Hodograph solutions for the generalized dKP equation},
author = {Jen-Hsu Chang and Yu-Tung Chen},
journal= {arXiv preprint arXiv:0904.4595},
year = {2009}
}
Comments
19 pages