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
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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
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On the discrete and continuous Miura chain associated with the sixth Painlev equation [PDF]
, 2000 A Miura chain is a (closed) sequence of differential (or difference) equations that are related by Miura or B\"acklund transformations. We describe such a chain for the sixth Painlev\'e equation (\pvi), containing, apart from \pvi itself, a Schwarzian ...
Hone, A. N. W. +8 more
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An initial-boundary value problem for the Korteweg-de Vries equation on the negative quarter-plane [PDF]
, 2009 For the abstract of this paper, please see the PDF ...
Leach, John, Leach, JA, Shaw, S
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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
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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
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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
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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
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An efficient approach for the numerical solution of fifth-order KdV equations
Open Mathematics, 2020 The main aim of this article is to use a new and simple algorithm namely the modified variational iteration algorithm-II (MVIA-II) to obtain numerical solutions of different types of fifth-order Korteweg-de Vries (KdV) equations.
Ahmad Hijaz +2 more
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Numerical Wave Solutions for Nonlinear Coupled Equations using Sinc-Collocation Method
Sultan Qaboos University Journal for Science, 2015 In this paper, numerical solutions for nonlinear coupled Korteweg-de Vries(abbreviated as KdV) equations are calculated by the Sinc-collocation method. This approach is based on a global collocation method using Sinc basis functions. The first step is to
Kamel Al-Khaled
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