Results 21 to 30 of about 62,135,588 (169)
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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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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On tau functions associated with linear systems [PDF]
, 2012 \noindent {\bf Abstract} This paper considers the Fredholm determinant $\det (I-\Gamma_x)$ of a Hankel integral operator on $L^2(0, \infty )$ with kernel $\phi (s+t+2x)$, where $\phi$ is a matrix scattering function.
Samantha L. Newsham +3 more
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Solving nonlinear PDEs using the higher order Haar wavelet method on nonuniform and adaptive grids
Mathematical Modelling and Analysis, 2021 The higher order Haar wavelet method (HOHWM) is used with a nonuniform grid to solve nonlinear partial differential equations numerically. The Burgers’ equation, the Korteweg–de Vries equation, the modified Korteweg–de Vries equation and the sine–Gordon ...
Mart Ratas, Andrus Salupere, Jüri Majak
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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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On Integration of the Loaded mKdV Equation in the Class of Rapidly Decreasing Functions
Известия Иркутского государственного университета: Серия "Математика", 2021 The paper is devoted to the integration of the loaded modified Kortewegde Vries equation in the class of rapidly decreasing functions. It is well known that loaded differential equations in the literature are usually called equations containing in the ...
A.B. Khasanov, U. A. Hoitmetov
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Mathematics, 2022 This paper covers the construction and research of a scheme to solve the problem with nonlinear dispersion wave equations, described by the model Korteweg–de Vries equation.
Alexander Sukhinov +4 more
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Soliton interaction with external forcing within the Korteweg–de Vries equation [PDF]
, 2019 We revise the solutions of the forced Korteweg–de Vries equation describing a resonant interaction of a solitary wave with external pulse-type perturbations.
Yury Stepanyants +3 more
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Higher-order Korteweg-de Vries models for internal solitary waves in a stratified shear flow with a free surface [PDF]
Nonlinear Processes in Geophysics, 2002 A higher-order extension of the familiar Korteweg-de Vries equation is derived for internal solitary waves in a density- and current-stratified shear flow with a free surface. All coefficients of this extended Korteweg-de Vries equation are expressed
R. Grimshaw +2 more
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Nonlinear Engineering, 2023 In this work, the generalized scale-invariant analog of the Korteweg–de Vries equation is studied. For the first time, the tanh–coth methodology is used to find traveling wave solutions for this nonlinear equation.
González-Gaxiola Oswaldo +1 more
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