38 citations · 53 across the 4 of their papers we have counts for
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Radiating solitary waves in coupled Boussinesq equations
R. H. J. Grimshaw, K. R. Khusnutdinova, K. R. Moore
In this paper we are consider radiating solitary wave solutions of coupled regularised Boussinesq equations. This type of solution consists of a leading solitary wave with a small-…
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…
Initial-value problem for coupled Boussinesq equations and a hierarchy of Ostrovsky equations
K. R. Khusnutdinova, K. R. Moore
We consider the initial-value problem for a system of coupled Boussinesq equations on the infinite line for localised or sufficiently rapidly decaying initial data, generating suff…