Results 31 to 40 of about 453 (182)
New numerical solutions of fractional-order Korteweg-de Vries equation
Results in Physics, 2020 We present new solutions of fractional-order Korteweg-de Vries (KdV) equation by employing a method that utilizes advantages of both techniques of fictititous time integration and group preserving.
Mustafa Inc +3 more
doaj +1 more source
Axioms, 2023 In this study, the inverse engineering problems of the Ostrovsky equation (OE), Kawahara equation (KE), modified Kawahara equation (mKE), and sixth-order Korteweg-de Vries (KdV) equation will be investigated numerically.
Chih-Wen Chang
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
Exact solutions of stochastic Burgers–Korteweg de Vries type equation with variable coefficients
Partial Differential Equations in Applied MathematicsWe will present exact solutions for three variations of the stochastic Korteweg de Vries–Burgers (KdV–Burgers) equation featuring variable coefficients.
Kolade Adjibi +6 more
doaj +1 more source
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 +4 more
doaj +1 more source
Review of Some Modified Generalized Korteweg–De Vries–Kuramoto–Sivashinsky (mgKdV-KS) Equations
FoundationsThis 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 +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
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 +3 more
doaj +1 more source
Two Kinds of New Integrable Couplings of the Negative-Order Korteweg-de Vries Equation
Advances in Mathematical Physics, 2015 Based on some known loop algebras with finite dimensions, two different negative-order integrable couplings of the negative-order Korteweg-de Vries (KdV) hierarchy of evolution equations are generated by making use of the Tu scheme, from which the ...
Binlu Feng, Yufeng Zhang
doaj +1 more source