title: On asymmetric generalized solitary gravity-capillary waves in finite depth.
abstract: Generalized solitary waves propagating at the surface of a fluid of finite depth are considered. The fluid is assumed to be inviscid and incompressible and the flow to be irrotational. Both the effects of gravity and surface tension are included. It is shown that in addition to the classical symmetric waves, there are new asymmetric solutions. These new branches of solutions bifurcate from the branches of symmetric waves. The detailed bifurcation diagrams as well as typical wave profiles are presented.
authors.affiliation: Department of Mathematics , University College London , London WC1E 6BT, UK.
authors.forename: T
authors.initials: T
authors.lastname: Gao
authors.affiliation: Key Laboratory for Mechanics in Fluid Solid Coupling Systems, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, People's Republic of China; School of Engineering Science, University of Chinese Academy of Sciences, Beijing 100049, People's Republic of China.
authors.forename: Z
authors.identifier: 0000-0003-4393-2118
authors.initials: Z
authors.lastname: Wang
authors.affiliation: Department of Mathematics , University College London , London WC1E 6BT, UK.
authors.forename: J-M
authors.initials: JM
authors.lastname: Vanden-Broeck
keywords: asymmetric waves; generalized solitary waves; gravity–capillary waves