We revise soliton and lump solutions described by the cylindrical Kadomtsev–Petviashvili
(cKP) equation and construct new exact solutions relevant to physical observation. In the first …

We consider approximate, exact, and numerical solutions to the cylindrical Korteweg–de
Vries equation. We show that there are different types of solitary waves and obtain the …

We study solitary wave solutions of the fifth-order Korteweg–de Vries equation which
contains, besides the traditional quadratic nonlinearity and third-order dispersion, additional …

Triggering and evolution of internal solitary waves (ISWs) generated by intrusive gravity
currents (IGCs) propagating into a stratified ambient fluid is analyzed by laboratory …

Oceanic internal waves often have curvilinear fronts and propagate over vertically sheared
currents. We present the first study of long weakly-nonlinear internal ring waves in a three …

In this work, we present a new two-waves' version of the fifth-order Korteweg–de Vries
model. This model describes the propagation of moving two-waves under the influence of …

We consider the outward-propagating nonlinear concentric water waves within the scope of
the 2D Boussinesq system. The problem is axisymmetric, and we derive the slow radius …

Монография посвящена изложению фундаментальных проблем моделирования
волновой динамики природных стратифицированных сред (океан, атмосфера). В …

Surface and interfacial weakly-nonlinear ring waves in a two-layer fluid are modelled
numerically, within the framework of the recently derived 2+ 1-dimensional cKdV-type …

In this paper, we find suitable initial conditions for the cylindrical Korteweg‐de Vries
equation by first solving exactly the initial‐value problem for localized solutions of the …