Results 71 to 80 of about 1,225,202 (162)

Beyond the KdV: Post-explosion development [PDF]

, 2015
Several threads of the last 25 years’ developments in nonlinear wave theory that stem from the classical Korteweg–de Vries (KdV) equation are surveyed.
Y. Stepanyants, Shrira, V., Stepanyants, Y., Ostrovsky, L., V. Shrira, L. Ostrovsky, E. Pelinovsky, Pelinovsky, E.   +7 more
core   +1 more source

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  

Optimal system and dynamics of optical soliton solutions for the Schamel KdV equation. [PDF]

Sci Rep, 2023
Hussain A, Chahlaoui Y, Usman M, Zaman FD, Park C.   +4 more
europepmc   +1 more source

A scalar Riemann-Hilbert problem on the torus: applications to the KdV equation. [PDF]

Anal Math Phys, 2022
Piorkowski M, Teschl G.
europepmc   +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

Motions of Curves in the Projective Plane Inducing the Kaup-Kupershmidt Hierarchy [PDF]

, 2012
The equation of a motion of curves in the projective plane is deduced. Local flows are defined in terms of polynomial differential functions. A family of local flows inducing the Kaup-Kupershmidt hierarchy is constructed.
Musso, Emilio, Emilio Musso, Musso, E.
core   +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

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

Solitary wave solutions of two KdV-type equations

Open Physics, 2018
The present paper investigates the solitary wave solutions of the nonlinear evolution equations with power nonlinearties. The study has been carried out for two examples of KdV-type equations, namely, the nonlinear dispersive equation and the generalised
Al-Ghafri Khalil Salim
doaj   +1 more source