208 citations · 994 across the 36 of their papers we have counts for
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Weakly-nonlinear solution of coupled Boussinesq equations and radiating solitary waves
K. R. Khusnutdinova, M. R. Tranter
Weakly-nonlinear waves in a layered waveguide with an imperfect interface (soft bonding between the layers) can be modelled using coupled Boussinesq equations. We assume that the m…
On Boussinesq-type models for long longitudinal waves in elastic rods
F. E. Garbuzov, K. R. Khusnutdinova, I. V. Semenova
In this paper we revisit the derivations of model equations describing long nonlinear longitudinal bulk strain waves in elastic rods within the scope of the Murnaghan model in orde…
D'Alembert-type solution of the Cauchy problem for a Boussinesq-Klein-Gordon equation
K. R. Khusnutdinova, M. R. Tranter
In this paper we construct a weakly-nonlinear d'Alembert-type solution of the Cauchy problem for a Boussinesq-Klein-Gordon equation. Similarly to our earlier work based on the use…
Soliton solutions to the fifth-order Korteweg - de Vries equation and their applications to surface and internal water waves
K. R. Khusnutdinova, Y. A. Stepanyants, M. R. Tranter
We study solitary wave solutions of the fifth-order Korteweg - de Vries equation which contains, besides the traditional quadratic nonlinearity and third-order dispersion, addition…
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-…