Results 101 to 110 of about 23,042 (190)

Construction of new solutions of Korteweg-de Vries Caudrey-Dodd-Gibbon equation using two efficient integration methods

PLoS ONE, 2022
Korteweg-de Vries Caudrey-Dodd-Gibbon (KdV-CDG) equation describes many physical phenomena in plasma physics, optical fibers, dynamics of the ocean, quantum mechanics, acoustic waves and laser optical applications.
Saima Arshed, Ghazala Akram, Maasoomah Sadaf, Komal Saeed   +3 more
doaj  

Insensitizing control of KDV–Burgers equations

Journal of Electrical Systems and Information Technology, 2018
This paper deals with the problem of insensitizing control of KDV–Burgers equation. This analysis produces a special type of null controllability, and shows that the nonlinear KDV–Burgers equation can be solved in terms of an insensitizing control.
Ravi Kumar Rajagounder, Chong Kil To
doaj   +1 more source

A compact finite difference scheme with absorbing boundary condition for forced KdV equation. [PDF]

MethodsX, 2023
Chen J, Dai W.
europepmc   +1 more source

On the Stability of Periodic Multi-Solitons of the KdV Equation. [PDF]

Commun Math Phys, 2021
Kappeler T, Montalto R.
europepmc   +1 more source

A Refined Well-Posedness Result for the Modified KdV Equation in the Fourier-Lebesgue Spaces. [PDF]

J Dyn Differ Equ, 2023
Chapouto A.
europepmc   +1 more source

Study of Ion-Acoustic Solitary Waves in a Magnetized Plasma Using the Three-Dimensional Time-Space Fractional Schamel-KdV Equation

Complexity, 2018
The study of ion-acoustic solitary waves in a magnetized plasma has long been considered to be an important research subject and plays an increasingly important role in scientific research. Previous studies have focused on the integer-order models of ion-
Min Guo, Chen Fu, Yong Zhang, Jianxin Liu, Hongwei Yang   +4 more
doaj   +1 more source

A logarithmic Sobolev inequality for the invariant measure of the periodic Korteweg--de Vries equation

, 2009
The periodic KdV equation u_t=u_{xxx}+\beta uu_x arises from a Hamiltonian system with infinite-dimensional phase space L^2(T). Bourgain has shown that there exists a Gibbs measure \nu on balls \{\phi :\Vert\Phi\Vert^2_{L^2}\leq N\} in the phase space ...
Blower, Gordon
core  

Hamiltonian formulation of the KdV equation

Journal of Mathematical Physics, 1984
We consider the canonical formulation of Whitham’s variational principle for the KdV equation. This Lagrangian is degenerate and we have found it necessary to use Dirac’s theory of constrained systems in constructing the Hamiltonian. Earlier discussions of the Hamiltonian structure of the KdV equation were based on various different decompositions of ...
openaire   +2 more sources

(2+1)-Dimensional Fifth-Order KdV Equation and (2+1)-Dimensional Gardner Equation Obtained from Ideal Fluid Model Revisited—Solitary Wave Solutions

Applied Sciences
The (2+1)-dimensional fifth-order KdV equation and (2+1)-dimensional Gardner equation obtained by us using Euler equations for an ideal fluid model in 2023 are revisited.
Anna Karczewska, Piotr Rozmej
doaj   +1 more source

Darboux transformation and solution of the modified Korteweg–de Vries equation

Қарағанды университетінің хабаршысы. Математика сериясы, 2015
Darboux transformation and a comprehensive approach to construct exact solutions of the nonlinear differential equation are counted. It is applied to construct the explicit solutions of the (2+1)-dimensional modified Korteweg-de Vries (KdV) equation. In
G. Kemelbekova, K. Yesmakhanova, S. Tapeeva, D. Tungushbaeva   +3 more
doaj