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nlin.PS2012★ 9 cited
Asymptotic stability of solitary waves in the Benney-Luke model of water waves
Tetsu Mizumachi, Robert L. Pego, José Raúl Quintero
We study asymptotic stability of solitary wave solutions in the one-dimensional Benney-Luke equation, a formally valid approximation for describing two-way water wave propagation.…
nlin.PS2001★ 3 cited
A host of traveling waves in a model of three-dimensional water-wave dynamics
Robert L. Pego, Jose Raul Quintero
We describe traveling waves in a basic model for three-dimensional water-wave dynamics in the weakly nonlinear long-wave regime. Small solutions that are periodic in the direction…