Results 81 to 90 of about 1,225,202 (162)
Analytical solutions for the forced KdV equation with variable coefficients
Frontiers in PhysicsThis paper focuses on obtaining the exact solutions to the variable-coefficient forced Korteweg-de Vries (KdV) equation for modeling spatial inhomogeneity in fluids.
Ji Wang, Jia Fu, Jialin Dai
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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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Source code for KdV Equation and Computations of Solitons: kdv-compact
, 2018 <p>Latex sources, figures and Fortran codes used to publish <a href="https://doi.org/10.1007/s10915-014-9875-4">KdV Equation and Computations of Solitons: Nonlinear Error Dynamics</a>.
Sengupta, Tapan K. (8167713) +3 more
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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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Lie symmetries and solutions of KdV equation
, 2019 Symmetries of a differential equations is one of the most important concepts in theory of differential equations and physics. One of the most prominent equations is KdV (Kortwege-de Vries) equation with application in shallow water theory.
Mehdi Nadjafikhah (6812084) +1 more
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Higher Order Symmetries of the KdV Equation [PDF]
, 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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Results in PhysicsThis study focuses on the Scale-Invariant (SIdV) families of third-order equations, which are among the few known equations sharing the same solitary wave solution of the KdV equation in the form of sech2.
Lewa’ Alzaleq, Valipuram Manoranjan
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Formulation and Solution of Space-Time Fractional KdV-Burgers Equation
, 2013 The space-time fractional KdV-Burgers equation has been derived using the semi-inverse method and Agrawal’s variational method. The modified Riemann-Liouville definition is used for the fractional differential operators.
Abulwafa Essam M.
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Soliton dynamics of the KdV–mKdV equation using three distinct exact methods in nonlinear phenomena
Nonlinear EngineeringThe KdV–mKdV equation is investigated in this study. This equation is a useful tool to model many nonlinear phenomena in the fields of fluid dynamics, quantum mechanics, and soliton wave theory.
Ullah M. Atta +4 more
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