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 <datestamp>2018-01-25</datestamp>
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 <id>1401.2122</id><created>2014-01-09</created><updated>2017-10-23</updated><authors><author><keyname>Sergyeyev</keyname><forenames>A.</forenames></author></authors><title>New integrable (3+1)-dimensional systems and contact geometry</title><categories>math.AP hep-th math-ph math.DG math.MP nlin.SI</categories><comments>16 pages, LaTeX, no figures, revised and abridged, in this version
  (v5) the typos were fixed (including some that have unfortunately crept into
  the published version too), Letters in Mathematical Physics (2017)</comments><msc-class>37K05 37K10 53D10</msc-class><journal-ref>Lett. Math. Phys. 108 (2018), no. 2, 359-376</journal-ref><doi>10.1007/s11005-017-1013-4</doi><license>http://arxiv.org/licenses/nonexclusive-distrib/1.0/</license><abstract>  We introduce a novel systematic construction for integrable (3+1)-dimensional
dispersionless systems using nonisospectral Lax pairs that involve contact
vector fields.
  In particular, we present new large classes of (3+1)-dimensional integrable
dispersionless systems associated to the Lax pairs which are polynomial and
rational in the spectral parameter.
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