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Particle trajectories beneath small amplitude shallow water waves in constant vorticity flows
Particle trajectories beneath small amplitude constant vorticity flows Fluid Dynamics
2011/7/26
Abstract: We investigate the particle trajectories in a constant vorticity shallow water flow over a flat bed as periodic waves propagate on the water's free surface. Within the framework of small amp...
Exact solutions for small-amplitude capillary-gravity water waves
small-amplitude capillary-gravity water waves Fluid Dynamics
2011/7/26
Abstract: We present explicit solutions for the ordinary differential equations system describing the motion of the particles beneath small-amplitude capillary-gravity waves which propagate on the sur...
Small-amplitude capillary-gravity water waves: exact solutions and particle motion beneath such waves
Small-amplitude capillary-gravity water waves particle motion beneath Fluid Dynamics
2011/7/26
Abstract: Two-dimensional periodic surface waves propagating under the combined influence of gravity and surface tension on water of finite depth are considered. Within the framework of small-amplitud...
Peakons arising as particle paths beneath small-amplitude water waves
Peakons arising particle paths beneath small-amplitude water waves
2011/7/26
Abstract: We present a new kind of particle path in constant vorticity water of finite depth, within the framework of small-amplitude waves.
Elliptic and hyperelliptic functions describing the particle motion beneath small-amplitude water waves with constant vorticity
Elliptic hyperelliptic function particle motion beneath small-amplitude water waves
2011/7/26
Abstract: We provide analytic solutions of the nonlinear differential equation system describing the particle paths below small-amplitude periodic gravity waves travelling on a constant vorticity curr...
Particle trajectories beneath small amplitude shallow water waves in constant vorticity flows
Particle trajectories small amplitude vorticity flows
2011/9/14
We investigate the particle trajectories in a constant vorticity shallow water flow over a flat bed as periodic waves propagate on the water’s free surface. Within the framework of small amplitude wav...
Exact solutions for small-amplitude capillary-gravity water waves
capillary-gravity water waves Exact solutions
2011/9/14
We present explicit solutions for the ordinary differential equations system describing the motion of the particles beneath small-amplitude capillary-gravity waves which propagate on the surface of an...
Small-amplitude capillary-gravity water waves: exact solutions and particle motion beneath such waves
capillary-gravity water waves exact solutions particle motion
2011/9/14
Two-dimensional periodic surface waves propagating under the combined influence of gravity and surface tension on water of finite depth are considered. Within the framework of small-amplitude waves, w...
Non-perturbative String Theory from Water Waves
Non-perturbative String Theory Water Waves
2010/12/24
We use a combination of a 't Hooft limit and numerical methods to find non-perturbative solutions of exactly solvable string theories, showing that perturbative solutions in different asymptotic regim...
KdV-Burgers Equation for a Viscous Flowing Shallow Water Waves
soliton KdV-Burgers equation
2007/8/15
2002Vol.37No.6pp.739-740DOI:
KdV-Burgers Equation for a Viscous Flowing Shallow Water Waves
DUAN Wen-Shan
Department of Physics, Northwest Normal University,
Lanzhou 730...
Quasi-potential Method to Study Nonlinear Surface Shallow Water
Waves
shallow water wave solitary potential
2007/8/15
2004Vol.42No.1pp.117-120DOI:
Quasi-potential Method to Study Nonlinear Surface Shallow Water
Waves
DUAN Wen-Shan and DOU Fu-Quan
Department of Physics, Northwest Normal ...