Results 21 to 30 of about 59,702,858 (214)
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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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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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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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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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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An electrical model for the Korteweg–de Vries equation [PDF]
American Journal of Physics, 1984 In this paper we describe an electrical network, whose current evolution does agree with a Korteweg–de Vries equation. Our aim is to prepare pupils to understand the analytical aspects of nonlinear and dispersive phenomena, which very often are neglected in high-school and graduate textbooks.
GIAMBO S +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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Cosmology and the Korteweg-de Vries equation [PDF]
Physical Review D, 2012 The Korteweg-de Vries (KdV) equation is a non-linear wave equation that has played a fundamental role in diverse branches of mathematical and theoretical physics. In the present paper, we consider its significance to cosmology. It is found that the KdV equation arises in a number of important scenarios, including inflationary cosmology, the cyclic ...
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Results in Physics, 2021 This paper is devoted to addressings the fairly interesting soliton solutions for the time fractional combined Korteweg-de Vries-modified Korteweg-de Vries equation (KdV–mKdV equation) and modified Burgers-KdV equation.
Muhammad Naveed Rafiq +5 more
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