Nonlinear water waves in channels of arbitrary shape
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Publication:4020294
DOI10.1017/S0022112092002349zbMath0756.76013MaRDI QIDQ4020294
Michelle H. Teng, Theodore Yao-Tsu Wu
Publication date: 16 January 1993
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
conservation lawsBoussinesq equationlong small-amplitude wavestwo equation modellinear dispersive term
KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25)
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Cites Work
- Run-up of solitary waves
- The development of a solitary wave in a channel of variable elliptical cross section
- Generation of upstream advancing solitons by moving disturbances
- Integrable Nonlinear Equations for Water Waves in Straits of Varying Depth and Width
- Damping of weakly nonlinear shallow-water waves
- On the Korteweg—de Vries equation for a gradually varying channel
- Long waves in a uniform channel of arbitrary cross-section
- Long waves on a beach
- Asymptotic Theory of Unsteady Three-Dimensional Waves in a Channel of Arbitrary Cross Section
- Long Waves in a Stratified Fluid over a Channel of Arbitrary Cross Section
- On an invariant property of water waves
- Cnoidal waves and bores in uniform channels of arbitrary cross-section
- Mathematical theory of irrotational translation waves
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