Fifth order evolution equation for long wave dissipative solitons

DOI10.1016/J.PHYSLETA.2011.12.004zbMath1255.76015OpenAlexW2024269863MaRDI QIDQ1933125

J. A. Letelier, M. Cristina Depassier

Publication date: 22 January 2013

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/131030

zbMATH Keywords

evolution equationdissipative solitonslong wave instability

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Stability problems for infinite-dimensional dissipative dynamical systems (37L15)

Related Items (4)

One- and two-soliton solutions to a new KdV evolution equation with nonlinear and nonlocal terms for the water wave problem ⋮ Bifurcation of traveling waves in a liquid film with broken time-reversal symmetry ⋮ An extended equation for the description of nonlinear waves in a liquid with gas bubbles ⋮ Effects of viscosity and surface tension on soliton dynamics in the generalized KdV equation for shallow water waves

Cites Work

• Nonlinear waves in media with fifth order dispersion
• Stability of solitary waves of a fifth-order water wave model
• Dissipative solitons.
• Simplest equation method to look for exact solutions of nonlinear differential equations
• Subcritical and supercritical bifurcations of the first- and second-order Benney equations
• Existence and Nonexistence of Solitary Wave Solutions to Higher-Order Model Evolution Equations
• Finite amplitude side-band stability of a viscous film
• Generalized Kaup–Kupershmidt solitons and other solitary wave solutions of the higher order KdV equations
• Long Waves on Liquid Films

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