Results 31 to 40 of about 18,365 (215)

Darboux Transformation for the Manin-Radul Supersymmetric KdV equation [PDF]

, 1997
In this paper we present a vectorial Darboux transformation, in terms of ordinary determinants, for the supersymmetric extension of the Korteweg-de Vries equation proposed by Manin and Radul. It is shown how this transformation reduces to the Korteweg-de
Alvarez-Gaumé, Alvarez-Gaumé, Athorne, Brezin, Das, Douglas, Gross, Guil, Liu, M. Mañas, Manin, Matveev, Mañas, Mañas, Q.P. Liu, Radul, Stanciu, Ueno   +17 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
doaj   +1 more source

Traveling wave solutions of the generalized scale-invariant analog of the KdV equation by tanh–coth method

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, Ruiz de Chávez Juan   +1 more
doaj   +1 more source

Nonlinear Stability of Periodic Traveling Wave Solutions of the Generalized Korteweg-de Vries Equation [PDF]

, 2009
In this paper, we study the orbital stability for a four-parameter family of periodic stationary traveling wave solutions to the generalized Korteweg-de Vries equation.
Johnson, Mathew A.
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The Construction and Research of the Modified “Upwind Leapfrog” Difference Scheme with Improved Dispersion Properties for the Korteweg–de Vries Equation

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, Alexander Chistyakov, Elena Timofeeva, Alla Nikitina, Yulia Belova   +4 more
doaj   +1 more source

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, PANTANO, Pietro Salvatore, TUCCI P.   +2 more
openaire   +4 more sources

Asymptotic stability of a Korteweg–de Vries equation with a two-dimensional center manifold

Advances in Nonlinear Analysis, 2018
Local asymptotic stability analysis is conducted for an initial-boundary-value problem of a Korteweg–de Vries equation posed on a finite interval [0,2⁢π⁢7/3]{[0,2\pi\sqrt{7/3}]}.
Tang Shuxia, Chu Jixun, Shang Peipei, Coron Jean-Michel   +3 more
doaj   +1 more source

A Note On 3Solitary Wave Solutions of the Compound Burgers-Korteweg-de Vries Equation" [PDF]

, 2006
The goal of this note is to construct a class of traveling solitary wave solutions for the compound Burgers-Korteweg-de Vries equation by means of a hyperbolic ...
Ablowitz, Burgers, Claire David, Dodd, Feng, Feng, Feng, Ince, Johnson, Korteweg, Li, Parkes, Parkes, Rasika Fernando, Wadati, Wang, Whitham, Zhang, Zhang, Zhang, Zhaosheng Feng   +20 more
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Integration of the fractional modified Korteweg de Vries-sine-Gordon equation by the inverse scattering method

Results in Applied Mathematics
In this paper we investigate the fractional modified Korteweg de Vries-sine-Gordon equation and show the inverse scattering transform method can also be used to obtain soliton solutions of fractional modified Korteweg de Vries-sine-Gordon equation. It is
Bazar Babajanov, Fakhriddin Abdikarimov
doaj   +1 more source

On the Cauchy Problem for the modified Korteweg-de Vries Equation with Steplike Finite-Gap Initial Data [PDF]

, 2010
We solve the Cauchy problem for the modified Korteweg--de Vries equation with steplike quasi-periodic, finite-gap initial conditions under the assumption that the perturbations have a given number of derivatives and moments finite.Comment: 8 ...
Egorova, Iryna, Teschl, Gerald
core   +1 more source