On asymmetric gravity–capillary solitary waves
From MaRDI portal
Publication:4361857
DOI10.1017/S0022112096003643zbMath0913.76011OpenAlexW2083932763MaRDI QIDQ4361857
No author found.
Publication date: 7 June 1999
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0022112096003643
bifurcationfifth-order Korteweg-de Vries equationtechniques of exponential asymptoticssolitary wavepackets
KdV equations (Korteweg-de Vries equations) (35Q53) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Solitary waves for incompressible inviscid fluids (76B25) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items
Solitary Waves and Their Linear Stability in Nonlinear Lattices, Asymmetric gravity–capillary solitary waves on deep water, Exponential Asymptotics for Line Solitons in Two-Dimensional Periodic Potentials, On traveling-wave solutions of the Kuramoto-Sivashinsky equation, Exponential Asymptotics for Solitons in PT-Symmetric Periodic Potentials, Hydroelastic solitary waves with constant vorticity, Stability and dynamics of two-dimensional fully nonlinear gravity–capillary solitary waves in deep water, On the localised buckling of drillstrings in curved boreholes, On the nonlinear stability of solitary wave solutions of the fifth-order Korteweg-de Vries equation, Exact periodic steady solutions for nonlinear wave equations: a new approach, Periodic and localized states in natural doubly diffusive convection, Gravity-Capillary and Flexural-Gravity Solitary Waves, Snakes and ladders: localized states in the Swift-Hohenberg equation, Model Equations for Gravity-Capillary Waves in Deep Water, Classification of Solitary Wave Bifurcations in Generalized Nonlinear Schrödinger Equations, Embedded solitons: A new type of solitary wave, Gap solitons and their linear stability in one-dimensional periodic media, Homoclinic orbits in reversible systems and their applications in mechanics, fluids and optics, Solitary wave interaction phenomena in a strut buckling model incorporating restabilisation, A Normal Form for Hamiltonian--Hopf Bifurcations in Nonlinear Schrödinger Equations with General External Potentials, On the formation of bound states by interacting nonlocal solitary waves, Existence theory of capillary-gravity waves on water of finite depth, Exponential asymptotics of localised patterns and snaking bifurcation diagrams, Heteroclinic tangles and homoclinic snaking in the unfolding of a degenerate reversible Hamiltonian-Hopf bifurcation, Homoclinic snaking: Structure and stability, A Model Equation for Wavepacket Solitary Waves Arising from Capillary-Gravity Flows, Forced Waves Near Resonance at a Phase‐Speed Minimum, Restabilization in structures susceptible to localized buckling: An approximate method for the extended post-buckling regime, Characterization of limiting homoclinic behaviour in a one-dimensional elastic buckling model, Orientation-Dependent Pinning and Homoclinic Snaking on a Planar Lattice, Multilump Symmetric and Nonsymmetric Gravity-Capillary Solitary Waves in Deep Water
