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physics.flu-dyn2022
Reappraisal of Whitham's 1967 theory for wave-mean flow interaction in shallow water
Thomas J. Bridges, Daniel J. Ratliff
The modulation equations for Stokes waves in shallow water coupled to wave generated mean flow, derived in Whitham (1967), based on an averaged Lagrangian are revisited. Firstly, i…
nlin.PS2022★ 1 cited
The Kawahara Equation: Traveling Wave Solutions Joining Periodic Waves
Patrick Sprenger, Thomas J. Bridges, Michael Shearer
The Kawahara equation is a weakly nonlinear long-wave model of dispersive waves that emerges when leading order dispersive effects are in balance with the next order correction. Tr…