Results 31 to 40 of about 8,902 (211)

A Comparative Analysis of the Fractional-Order Coupled Korteweg–De Vries Equations with the Mittag–Leffler Law

Journal of Mathematics, 2022
This article applies efficient methods, namely, modified decomposition method and new iterative transformation method, to analyze a nonlinear system of Korteweg–de Vries equations with the Atangana–Baleanu fractional derivative.
Noufe H. Aljahdaly, Ali Akgül, Rasool Shah, Ibrahim Mahariq, Jeevan Kafle   +4 more
doaj   +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

Twisted reductions of integrable lattice equations, and their Lax representations [PDF]

, 2014
It is well known that from two-dimensional lattice equations one can derive one-dimensional lattice equations by imposing periodicity in some direction.
Hietarinta, Jarmo, Ormerod, Christopher M., Quispel, G. R. W., van der Kamp, Peter H.   +3 more
core   +1 more source

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

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

Decoupled and unidirectional asymptotic models for the propagation of internal waves [PDF]

, 2012
We study the relevance of various scalar equations, such as inviscid Burgers', Korteweg-de Vries (KdV), extended KdV, and higher order equations (of Camassa-Holm type), as asymptotic models for the propagation of internal waves in a two-fluid system ...
Boussinesq J., Brandolese L., Carvajal Paredes X., Kano T., Vera Villagrán O. P., VINCENT DUCHÊNE   +5 more
core   +3 more sources

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

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