Solitary wave solutions for a model of the two-way propagation of water waves in a channel

DOI10.1017/S0305004100058801zbMath0474.76032OpenAlexW2102768187MaRDI QIDQ3929244

John F. Toland

Publication date: 1981

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100058801

zbMATH Keywords

one-dimensionalchannelflat bottomglobal bifurcation theoremmodel of two-way propagation

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25)

Related Items (11)

The Boussinesq systems on the background of a line solitary wave ⋮ Global bifurcation for Neumann problems without eigenvalues ⋮ Nonlinear elliptic eigenvalue problems on an infinite strip-global theory of bifurcation and asymptotic bifurcation ⋮ Solitary-wave and multi-pulsed traveling-wave solutions of boussinesq systems ⋮ A numerical study of the stability of solitary waves of the Bona-Smith family of Boussinesq systems ⋮ Numerical solution of Boussinesq systems of the Bona-Smith family ⋮ Numerical modelling of two-way propagation of nonlinear dispersive waves ⋮ Global bifurcation of solitary waves to the Boussinesq \textit{abcd} system ⋮ Uniqueness and a priori bounds for certain homoclinic orbits of a Boussinesq system modelling solitary water waves ⋮ Existence and symmetry of ground states to the Boussinesq \textit{abcd} systems ⋮ Homoclinic, heteroclinic, and periodic orbits for a class of indefinite Hamiltonian systems

Cites Work

• Bifurcation for variational problems when the linearisation has no eigenvalues
• Bifurcation for Neumann problems without eigenvalues
• Some global results for nonlinear eigenvalue problems

This page was built for publication: Solitary wave solutions for a model of the two-way propagation of water waves in a channel