69 citations · 128 across the 11 of their papers we have counts for
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Solitary Wave Propagation in Elastic Bars with Multiple Sections and Layers
M. R. Tranter
In this paper we present a numerical scheme for solving a system of Boussinesq-type equations. This can correspond to longitudinal displacements in a multi-layered elastic bar with…
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…
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…