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

$q_z=2u_z+w_x+2w{w}_z,v_z=2q_x-3u_x-2w_y+2w{u}_z-2w{w}_x+2u{w}_z,t$

$u_t=v{u}_z+q{u}_x-u{v}_z-w{v}_x+v_y,$

$w_t=q_y-2v_x+4w{u}_x-w{q}_x+q{w}_x+v{w}_z-u{q}_z,$

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.