47 citations · 51 across the 2 of their papers we have counts for
2 papers
solv-int1997★ 47 cited
Asymptotic dynamics of short-waves in nonlinear dispersive models
M. A. Manna, V. Merle
The multiple-scale perturbation theory, well known for long-waves, is extended to the study of the far-field behaviour of short-waves, commonly called ripples. It is proved that th…
solv-int1997★ 4 cited
Modified Korteweg-de Vries Hierachies in Multiple-Times Variables and the Solutions of Modified Boussinesq Equations
M. A. Manna, V. Merle
We study solitary-wave and kink-wave solutions of a modified Boussinesq equation through a multiple-time reductive perturbation method. We use appropriated modified Korteweg-de Vri…