Results 11 to 20 of about 5,295 (178)
Dynamics investigation of (1+1)-dimensional time-fractional potential Korteweg-de Vries equation
Alexandria Engineering Journal, 2022 The potential Korteweg-de Vries equation arises in the study of water waves and is reported in the dynamics of tsunami waves. The fractional order potential Korteweg-de Vries equation is more flexible and generalized than its classical form. In this work,
Ghazala Akram +3 more
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Қарағанды университетінің хабаршысы. Математика сериясы, 2021 Partial differential equations of the third order are the basis of mathematical models of many phenomena and processes, such as the phenomenon of energy transfer of hydrolysis of adenosine triphosphate molecules along protein molecules in the form of ...
М.B. Muratbekov, A.O. Suleimbekova
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Solitary Waves and Their Interactions in the Cylindrical Korteweg–De Vries Equation
, 2023 We consider approximate, exact, and numerical solutions to the cylindrical Korteweg–de Vries equation. We show that there are different types of solitary waves and obtain the dependence of their parameters on distance.
Jingli Ren +5 more
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The d-bar formalism for the modified Veselov-Novikov equation on the half-plane [PDF]
Opuscula Mathematica, 2022 We study the modified Veselov-Novikov equation (mVN) posed on the half-plane via the Fokas method, considered as an extension of the inverse scattering transform for boundary value problems.
Guenbo Hwang, Byungsoo Moon
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Exact Solutions to a Class of Schamel Nonlinear Equations Modeling Dust Ion-acoustic Waves in Plasma [PDF]
Assiut University Journal of Multidisciplinary Scientific Research, 2022 In this paper, we apply the extended Kudryashov method to construct some new exact solitary wave solutions of three important physical models, Schamel-nonlinear Schrödinger (S-NLS) equation, Schamel Korteweg-de Vries (S-KdV) equation, Schamel Korteweg-de
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Convergence of the Rosenau-Korteweg-de Vries Equation to the Korteweg-de Vries One [PDF]
, 2020 The Rosenau-Korteweg-de Vries equation describes the wave-wave and wave-wall interactions. In this paper, we prove that, as the diffusion parameter is near zero, it coincides with the Korteweg-de Vries equation.
Coclite, Giuseppe Maria +1 more
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Spatial Analyticity of Solutions to Korteweg–de Vries Type Equations
Mathematical and Computational Applications, 2021 The Korteweg–de Vries equation (KdV) is a mathematical model of waves on shallow water surfaces. It is given as third-order nonlinear partial differential equation and plays a very important role in the theory of nonlinear waves.
Keltoum Bouhali +4 more
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Results in Physics, 2017 The Boussinesq equation with dual dispersion and modified Korteweg–de Vries–Kadomtsev–Petviashvili equations describe weakly dispersive and small amplitude waves propagating in a quasi three-dimensional media.
Kalim Ul-Haq Tariq, A.R. Seadawy
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Integration of the Negative Order Korteweg-de Vries Equation with a Special Source
Известия Иркутского государственного университета: Серия "Математика", 2023 In this paper, we consider the negative order Korteweg-de Vries equation with a self-consistent source corresponding to the eigenvalues of the corresponding spectral problem. It is shown that the considered equation can be integrated by the method of the
G.U. Urazboev +2 more
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Fractional System of Korteweg-De Vries Equations via Elzaki Transform
Mathematics, 2021 In this article, a hybrid technique, called the Iteration transform method, has been implemented to solve the fractional-order coupled Korteweg-de Vries (KdV) equation. In this method, the Elzaki transform and New Iteration method are combined.
Wenfeng He +4 more
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