%0 Unpublished work %T An integrable equation governing short waves in a long-wave model %+ Laboratoire de Physique Mathématique et Théorique (PMT) %A Neveu, André %A Manna, Miguel %Z 03-005 %8 2003-03-20 %D 2003 %Z physics/0303085 %K Fluid Dynamics %K Exactly Solvable and Integrable Systems %Z Nonlinear Sciences [physics]/Exactly Solvable and Integrable Systems [nlin.SI] %Z Physics [physics]/High Energy Physics - Theory [hep-th] %Z Physics [physics]/Physics [physics]/Fluid Dynamics [physics.flu-dyn]Preprints, Working Papers, ... %X From a columnar approximation of the Euler equations of an incompressible fluid with surface tension, we derive in the short-wave approximation a new integrable classical 1+1 dimensional field theory for the motion of the surface. Together with a Lorentz invariance,this system has the novel feature of solutions which become multiple valued in finite time. %G English %L hal-00266319 %U https://hal.science/hal-00266319 %~ CNRS %~ UNIV-MONTP2 %~ UNIV-MONTPELLIER %~ UM1-UM2