5 papers
Boussinesq-Klein-Gordon and Ostrovsky equations: evolution of cnoidal waves with local defects
Korsarun Nirunwiroj, Dmitri Tseluiko, Karima Khusnutdinova
The Boussinesq-Klein-Gordon (BKG) equation has emerged in the studies of nonlinear bulk strain waves in layered solid waveguides. The developed bi-directional weakly-nonlinear solu…
Solitary waves of moderate amplitude and dispersive radiation in the Serre equations: the extended KdV-Whitham approximation
Benjamin Martin, Dmitri Tseluiko, Karima Khusnutdinova
We consider the extended Korteweg-de Vries (eKdV) equation as a model for long moderately nonlinear surface water waves and use it to describe the evolution of initial conditions g…
Evolution of perturbed long nonlinear plane, ring and hybrid surface waves
Benjamin Martin, Dmitri Tseluiko, Karima Khusnutdinova
The two-dimensional evolution of perturbed long weakly-nonlinear surface plane, ring, and hybrid waves, consisting, to leading order, of a part of a ring and two tangent plane wave…
Evolution of internal cnoidal waves with local defects in a two-layer fluid with rotation
Korsarun Nirunwiroj, Dmitri Tseluiko, Karima Khusnutdinova
Internal waves in a two-layer fluid with rotation are considered within the framework of Helfrich's f-plane extension of the Miyata-Maltseva-Choi-Camassa (MMCC) model. Within the s…
Internal solitary and cnoidal waves of moderate amplitude in a two-layer fluid: the extended KdV equation approximation
Nerijus Sidorovas, Dmitri Tseluiko, Wooyoung Choi +1
We consider travelling internal waves in a two-layer fluid with linear shear currents from the viewpoint of the extended Korteweg-de Vries (eKdV) equation derived from a strongly-n…