Results 51 to 60 of about 22,064 (260)

Conditions for modulation instability in higher order Korteweg-de Vries equations

Applied Mathematics Letters, 2019
The universal mechanism of modulation instability (MI) has been discovered first for the Nonlinear Schrodinger equation (NLS) and is well studied in the frame of the higher order NLS equations.
E. Tobisch, E. Pelinovsky
semanticscholar   +1 more source

Homotopy analysis method for solving KdV equations [PDF]

Surveys in Mathematics and its Applications, 2010
A scheme is developed for the numerical study of the Korteweg-de Vries (KdV) and the Korteweg-de Vries Burgers (KdVB) equations with initial conditions by a homotopy approach.
Hossein Jafari, M. A. Firoozjaee
doaj  

Ion temperature gradient mode linear and nonlinear structures in electron-ion plasma,with stationary charged dust grain

Kuwait Journal of Science, 2023
Ion temperature gradient mode nonlinear structures are studied with stationary charged dust. The dynam-ical role here is played by heavy ions. The small amplitude limit infuence of various plasma parameters shows that the phase velocity of the mode ...
Aziz Khan Khan, U. Zakir, A. Rahman, J. Ali, Q. Haque   +4 more
doaj   +1 more source

Variable depth KDV equations and generalizations to more nonlinear regimes [PDF]

, 2008
We study here the water-waves problem for uneven bottoms in a highly nonlinear regime where the small amplitude assumption of the Korteweg-de Vries (KdV) equation is enforced.
Alvarez-Samaniego, Alvarez-Samaniego, Benjamin, Bona, Bona, Camassa, Constantin, Craig, Green, Grimshaw, Iguchi, Johnson, Johnson, Korteweg, Lannes, Lannes, Lannes, Miles, Nalimov, Peregrine, Pudjaprasetya, Pudjaprasetya, Samer Israwi, Schneider, van Groesen, Well-posedness, Well-posedness, Yoon, Yosihara   +28 more
core   +4 more sources

Exact solutions of stochastic Burgers–Korteweg de Vries type equation with variable coefficients

Partial Differential Equations in Applied Mathematics
We will present exact solutions for three variations of the stochastic Korteweg de Vries–Burgers (KdV–Burgers) equation featuring variable coefficients.
Kolade Adjibi, Allan Martinez, Miguel Mascorro, Carlos Montes, Tamer Oraby, Rita Sandoval, Erwin Suazo   +6 more
doaj   +1 more source

Theoretical investigation of the behavior of spherical ion- acoustic solitons in two-temperature plasma [PDF]

مجله علوم و فنون هسته‌ای, 2019
The propagation of the small amplitude ion-acoustic solitary waves (IASWs) is studied in a plasma containing cold fluid ions and multi-temperature electrons (cool and hot electrons) with the nonextensive distribution.
M Nezam, A Nazari Golshan
doaj   +1 more source

Analytical Solution of the Local Fractional KdV Equation

Mathematics, 2023
This research work is dedicated to solving the n-generalized Korteweg–de Vries (KdV) equation in a fractional sense. The method is a combination of the Sumudu transform and the Adomian decomposition method.
Kholoud Saad Albalawi, Ibtehal Alazman, Jyoti Geetesh Prasad, Pranay Goswami   +3 more
doaj   +1 more source

Review of Some Modified Generalized Korteweg–De Vries–Kuramoto–Sivashinsky (mgKdV-KS) Equations

Foundations
This paper reviews the results of existence and uniqueness of the solutions of these equations: the Korteweg–De Vries equation, the Kuramoto–Sivashinsky equation, the generalized Korteweg–De Vries–Kuramoto–Sivashinsky equation and the nonhomogeneous ...
Marie-Thérèse Aimar, Abdelkader Intissar   +1 more
doaj   +1 more source

Traveling Wave Solutions of the Benjamin-Bona-Mahony Water Wave Equations

Abstract and Applied Analysis, 2014
The modeling of unidirectional propagation of long water waves in dispersive media is presented. The Korteweg-de Vries (KdV) and Benjamin-Bona-Mahony (BBM) equations are derived from water waves models.
A. R. Seadawy, A. Sayed
doaj   +1 more source

On a hierarchy of nonlinearly dispersive generalized KdV equations

, 2015
We propose a hierarchy of nonlinearly dispersive generalized Korteweg--de Vries (KdV) evolution equations based on a modification of the Lagrangian density whose induced action functional the KdV equation extremizes. It is shown that two recent nonlinear
Christov, Ivan C.
core   +1 more source