Nonlinear random wave field in shallow water: variable Korteweg-de Vries framework.
Soliton interaction for the extended Korteweg-de Vries equation.
2009) Nonlinear stability of periodic travelling wave solutions of the generalized Korteweg-de Vries equation, preprint.
The Initial Value Problem for Korteweg-de Vries Equations.
The equation (FKdV) is well known in the literature as the generalized Korteweg-De Vries equation when F(s) = [s.
In this paper, we are interested in obtaining a unique continuation result for a generalized Korteweg-de Vries equation with variable coefficients
Smirnov, Elliptic solutions of the Korteweg-de Vries
We consider the equation of Korteweg-De Vries
Burgers (KdVB) which is non-integrable
In the present work, we proposed a hierarchy of nonlinearly dispersive generalized Korteweg-de Vries
(KdV) evolution equations based on a modification of the Lagrangian density whose induced action functional is extremized by the KdV equation.
Camassa-Holm, Korteweg-de Vries
and related models for water waves.
In the low-frequency regime, the evolution equations tend to a Korteweg-de Vries
equation with an additional nonlinear term.
The evolution equation of these waves assumes the form of an extended Korteweg-de Vries
(KdV) equation, where the additional, higher-order term reflects the influence of micrononlinearity.