Numerical study of blow up and stability of solutions of generalized Kadomtsev–Petviashvili equations
C Klein, JC Saut - Journal of nonlinear science, 2012 - Springer
We first review the known mathematical results concerning the Kadomtsev–Petviashvili type
equations. Then we perform numerical simulations to analyze various qualitative properties …
equations. Then we perform numerical simulations to analyze various qualitative properties …
Transverse nonlinear instability of solitary waves for some Hamiltonian PDE's
F Rousset, N Tzvetkov - Journal de mathématiques pures et appliquées, 2008 - Elsevier
We present a general result of transverse nonlinear instability of 1d solitary waves for
Hamiltonian PDE's for both periodic or localized transverse perturbations. Our main …
Hamiltonian PDE's for both periodic or localized transverse perturbations. Our main …
Numerical simulation of Kadomtsev–Petviashvili–Benjamin–Bona–Mahony equations using finite difference method
A Mekki, MM Ali - Applied Mathematics and Computation, 2013 - Elsevier
In this paper, the finite difference method is employed to solve Kadomtsev–Petviashvili–
Benjamin–Bona–Mahony II (KP–BBM-II) partial differential equations. The time and space …
Benjamin–Bona–Mahony II (KP–BBM-II) partial differential equations. The time and space …
Shallow Water Models and Their Analytical Properties
A Cheviakov, P Zhao - … of Nonlinear Partial Differential Equations: with …, 2024 - Springer
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[PDF][PDF] The Benjamin-Bona-Mahony equation with dissipative memory
This paper deals with the propagation of the one-directional small amplitude long waves in
shallow water. In the conservative context, such waves are described by the Korteweg-de …
shallow water. In the conservative context, such waves are described by the Korteweg-de …
Analyse numérique de systèmes hyperboliques-dispersifs
C Courtès - 2017 - theses.hal.science
Le but de cette thèse est d'étudier certaines équations aux dérivées partielles hyperboliques-
dispersives. Une part importante est consacrée à l'analyse numérique et plus …
dispersives. Une part importante est consacrée à l'analyse numérique et plus …
Numerical solution of the generalized Kadomtsev-Petviashvili equations with compact finite difference schemes
We propose compact finite difference schemes to solve the KP equations $ u\_t+ u\_ {xxx}+
u^ pu\_x+ $\lambda $\partial^{--1}\_x u\_ {yy}= 0$. When $ p= 1$, this equation describes the …
u^ pu\_x+ $\lambda $\partial^{--1}\_x u\_ {yy}= 0$. When $ p= 1$, this equation describes the …
Carleman estimates and unique continuation property for the Kadomtsev–Petviashvili equations
Y Mammeri - Applicable Analysis, 2013 - Taylor & Francis
We study the unique continuation property for the generalized Kadomtsev–Petviashvili (KP)
equations and its regularized version. We use Carleman estimates to prove that if the …
equations and its regularized version. We use Carleman estimates to prove that if the …
[PDF][PDF] l'Université Paris-Saclay
C COURTÈS - 2017 - researchgate.net
The aim of this thesis is to study some hyperbolic-dispersive partial differential equations. A
significant part is devoted to the numerical analysis and more precisely to the convergence …
significant part is devoted to the numerical analysis and more precisely to the convergence …