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): Difference between revisions
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:<math>q_z = 2u_z+w_x+2ww_z,</math> | :<math>q_z = 2u_z+w_x+2ww_z,</math> | ||
:<math>v_z = 2q_x-3u_x-2w_y+2wu_z-2ww_x+2uw_z | :<math>v_z = 2q_x-3u_x-2w_y+2wu_z-2ww_x+2uw_z</math> | ||
:<math>u_t = vu_z+qu_x-uv_z-wv_x+v_y,</math> | :<math>u_t = vu_z+qu_x-uv_z-wv_x+v_y,</math> | ||
:<math>w_t = q_y-2v_x+4wu_x-wq_x+qw_x+vw_z-uq_z,</math> | :<math>w_t = q_y-2v_x+4wu_x-wq_x+qw_x+vw_z-uq_z,</math> | ||
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}}. | 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. | A joint work with H. Baran and A. Sergyeyev. | ||
Revision as of 09:43, 30 September 2015
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
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.