New exact relations for steady irrotational two-dimensional gravity and capillary surface waves
2017 ◽
Vol 376
(2111)
◽
pp. 20170220
◽
Keyword(s):
Steady two-dimensional surface capillary–gravity waves in irrotational motion are considered on constant depth. By exploiting the holomorphic properties in the physical plane and introducing some transformations of the boundary conditions at the free surface, new exact relations and equations for the free surface only are derived. In particular, a physical plane counterpart of the Babenko equation is obtained. This article is part of the theme issue ‘Nonlinear water waves’.
2017 ◽
Vol 376
(2111)
◽
pp. 20170096
◽
Keyword(s):
2017 ◽
Vol 376
(2111)
◽
pp. 20170091
◽
Keyword(s):
2017 ◽
Vol 376
(2111)
◽
pp. 20170099
◽
Keyword(s):
Keyword(s):
2012 ◽
Vol 370
(1964)
◽
pp. 1501-1504
◽
2017 ◽
Vol 376
(2111)
◽
pp. 20170090
◽
Keyword(s):
1994 ◽
Vol 262
◽
pp. 265-291
◽
Keyword(s):
1966 ◽
Vol 62
(3)
◽
pp. 507-509
◽
Keyword(s):