Results 11 to 20 of about 1,045 (185)
Algebraic traveling waves for the modified Korteweg–de-Vries–Burgers equation
Electronic Journal of Qualitative Theory of Differential Equations, 2020 In this paper we characterize all traveling wave solutions of the Generalized Korteweg–de Vries–Burgers equation. In particular we recover the traveling wave solutions for the well-known Korteweg–de Vries–Burgers equation.
Claudia Valls
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On the Korteweg‐de Vries equation: an associated equation [PDF]
International Journal of Mathematics and Mathematical Sciences, 1984 The purpose of this paper is to describe a relationship between the Korteweg‐de Vries (KdV) equation urn:x-wiley:01611712:media:ijmm237357:ijmm237357-math-0001 and another nonlinear partial differential equation of the form urn:x-wiley:01611712:media:ijmm237357:ijmm237357-math-0002 The second equation will be called the Associated Equation (AE ...
Eugene P. Schlereth, Ervin Y. Rodin
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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
Contemporary Mathematics, 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. The proof relies on deriving suitable a priori estimates together with an application of the Aubin-Lions Lemma.
Coclite, Giuseppe Maria +1 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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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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