Results 101 to 110 of about 4,529 (186)
Symmetry methods for integrable systems [PDF]
, 1996 This thesis discusses various properties of a number of differential equations which we will term "integrable". There are many definitions of this word, but we will confine ourselves to two possible characterisations — either an equation can be ...
Mulvey, Joseph Anthony, Mulvey, J.A
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Applied SciencesThe (2+1)-dimensional fifth-order KdV equation and (2+1)-dimensional Gardner equation obtained by us using Euler equations for an ideal fluid model in 2023 are revisited.
Anna Karczewska, Piotr Rozmej
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Generalized Kudryashov Method for Time-Fractional Differential Equations
Abstract and Applied Analysis, 2014 In this study, the generalized Kudryashov method (GKM) is handled to find exact solutions of time-fractional Burgers equation, time-fractional Cahn-Hilliard equation, and time-fractional generalized third-order KdV equation.
Seyma Tuluce Demiray +2 more
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The KdV/KP-I Limit of the Nonlinear Schrödinger Equation
, 2010 International audienceWe justify rigorously the convergence of the amplitude of solutions of nonlinear Schrödinger-type equations with nonzero limit at infinity to an asymptotic regime governed by the Korteweg-de Vries (KdV) equation in dimension 1 and ...
Rousset, Frédéric, Chiron, David
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Darboux transformation and solution of the modified Korteweg–de Vries equation
Қарағанды университетінің хабаршысы. Математика сериясы, 2015 Darboux transformation and a comprehensive approach to construct exact solutions of the nonlinear differential equation are counted. It is applied to construct the explicit solutions of the (2+1)-dimensional modified Korteweg-de Vries (KdV) equation. In
G. Kemelbekova +3 more
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ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE GENERALIZED KDV-BURGERS EQUATION [PDF]
We study the asymptotic behavior of global solutions to the initial value problem for the generalized KdV-Burgers equation. One can expect that the solution to this equation converges to a self-similar solution to the Burgers equation, due to earlier ...
Fukuda, Ikki
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Higher Order Symmetries of the KdV Equation
, 2012 In this worksheet we symbolically construct the formal inverse of the total derivative operator and use it to construct the recursion operator for the higher-order symmetries of the KdV equation.
Anderson, Ian M.
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Numerical simulations of the stochastic KDV equation [PDF]
, 2009 We study the Korteweg-de Vries (KdV) equation with external noise and compare our numerical simulations to known theoretical results. By using a modification of the Zabusky-Kruskal finite difference scheme, we are able to generate numerical solutions to ...
Rose, Andrew +1 more
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New exact solutions of stochastic KdV equation
, 2012 In this paper, the multi-wave method is used to find new exact solitary solutions of nonlinear stochastic KdV equation. By using this approach and with the help of Mathematica we obtain a new type of multi-wave solution, periodic one and two-solitary ...
Misirli E., Pandir Y., Gurefe Y.
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Exact solution of perturbed Kdv equation with variable dissipation coefficient
, 2017 In the present work we study the integrability condition for a variable coefficient Korteweg-deVries(KdV) equation. For that purpose, we first introduce some proper transformations for dependent and independent variables in such a way that the variable ...
Demiray, Hilmi
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