Uniqueness and a priori bounds for certain homoclinic orbits of a Boussinesq system modelling solitary water waves

DOI10.1007/BF01209303zbMath0557.76028OpenAlexW2035249518MaRDI QIDQ761889

John F. Toland

Publication date: 1984

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01209303

zbMATH Keywords

homoclinic orbitsBoussinesq systemsolitary water wavestwo nonlinear Sturm-Liouville equations

Mathematics Subject Classification ID

Solitary waves for incompressible inviscid fluids (76B25)

Related Items (6)

The Boussinesq systems on the background of a line solitary wave ⋮ 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 ⋮ Galerkin's method, monotonicity and linking for indefinite Hamiltonian systems with bounded potential energy ⋮ Homoclinic, heteroclinic, and periodic orbits for a class of indefinite Hamiltonian systems

Cites Work

• Unnamed Item
• Homoclinic, heteroclinic, and periodic orbits for a class of indefinite Hamiltonian systems
• Symmetry and related properties via the maximum principle
• Solitary wave solutions for a model of the two-way propagation of water waves in a channel
• A model for the two-way propagation of water waves in a channel

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