Finiteamplitude steady waves in stratified fluids
Abstract
An exact theory regarding solitary internal gravity waves in stratified fluids is presented. Two dimensional, inviscid, incompressible flows confined between plane horizontal rigid boundaries are considered. Variational techniques are used to demonstrate that the Euler equations possess solutions that represent progressing waves of permanent form. These are analogous to the surface, solitary waves so easily generated in a flume. Periodic wave trains of permanent form, the analogue of the classical cnoidal waves, are also found. Moreover, internal solitarywave solutions are shown to arise as the limit of cnoidal wave trains as the period length grows unboundedly.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 July 1982
 Bibcode:
 1982STIN...8320039B
 Keywords:

 Amplitudes;
 Finite Element Method;
 Gravity Waves;
 Steady Flow;
 Surface Waves;
 Branching (Mathematics);
 Incompressible Flow;
 Inviscid Flow;
 Stratification;
 Symmetry;
 Fluid Mechanics and Heat Transfer