Vojčák P. Some integrability properties of a (3+1)-dimensional integrable generalization of the dKP equation, talk at The Workshop on Integrable Nonlinear Equations, 18-24 October 2015, Mikulov, Czech Republic (abstract)

Speaker: Petr Vojčák

Title: Some integrability properties of a (3+1)-dimensional integrable generalization of the dKP equation

Abstract:
We present some integrabitity properties of the following system of PDE's

Failed to parse (syntax error): {\displaystyle \begin{eqnarray*} q_z &=& 2u_z+w_x+2ww_z,\\ v_z &=& 2q_x-3u_x-2w_y+2wu_z-2ww_x+2uw_z,t\\ u_t &=& vu_z+qu_x-uv_z-wv_x+v_y,\\ w_t &=& q_y-2v_x+4wu_x-wq_x+qw_x+vw_z-uq_z, \end{eqnarray*}}

which provides a (3+1)-dimensional integrable generalization of the dispersionless Kadomtsev-Petviashvili (dKP) equation [see A. Sergyeyev, A new class of (3+1)-dimensional integrable systems related to contact geometry, arXiv:1401.2122.

A joint work with H. Baran and A. Sergyeyev.