43 citations · 45 across the 3 of their papers we have counts for
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Coupled Ostrovsky equations for internal waves in a shear flow
A. Alias, R. H. J. Grimshaw, K. R. Khusnutdinova
In the context of fluid flows, the coupled Ostrovsky equations arise when two distinct linear long wave modes have nearly coincident phase speeds in the presence of background rota…
Validity of the weakly-nonlinear solution of the Cauchy problem for the Boussinesq-Ostrovsky equation
K. R. Khusnutdinova, K. R. Moore, D. E. Pelinovsky
We consider the initial-value problem for the regularized Boussinesq-Ostrovsky equation in the class of periodic functions. Validity of the weakly-nonlinear solution, given in term…
Weakly nonlinear extension of d'Alembert's formula
K. R. Khusnutdinova, K. R. Moore
We consider a weakly nonlinear solution of the Cauchy problem for the regularised Boussinesq equation, which constitutes an extension of the classical d'Alembert's formula for the…