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Solitary gravity-capillary water waves with point vortices

, 2015
We construct small-amplitude solitary traveling gravity-capillary water waves with a finite number of point vortices along a vertical line, on finite depth. This is done using a local bifurcation argument.
Varholm, Kristoffer
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A novel implementation of Petrov-Galerkin method to shallow water solitary wave pattern and superperiodic traveling wave and its multistability: generalized Korteweg-de Vries equation [PDF]

, 2020
This work deals with the constitute of numerical solutions of the generalized Korteweg-de Vries (GKdV) equation with Petrov-Galerkin finite element approach utilising a cubic B-spline function as the trial function and a quadratic function as the test ...
Karakoç, Seydi Battal Gazi, Saha, Asit, Sucu, Derya +2 more
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On the origin of the Korteweg-de Vries equation

, 2011
The Korteweg-de Vries equation has a central place in a model for waves on shallow water and it is an example of the propagation of weakly dispersive and weakly nonlinear waves.
de Jager, E. M.
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Numerical solutions of the Kawahara equation by the septic B spline collocation method [PDF]

, 2014
In this article, a numerical solution of the Kawahara equation is presented by septic B-spline collocation method. Applying the Von-Neumann stability analysis, the present method is shown to be unconditionally stable.
Ak, Turgut +2 more
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A numerical solution of the MEW equaiton using sextic B splines [PDF]

, 2013
In this article, a numerical solution of the modified equal width wave (MEW) equation, based on subdomain method using sextic B-spline is used to simulate the motion of single solitary wave and interaction of two solitary waves. The three invariants of
Geyikli, Turabi, Karakoç, Seydi Battal Gazi +1 more
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A numerical investigation of the GRLW equation using lumped Galerkin approach with cubic B-spline. [PDF]