Results 21 to 30 of about 18,045 (194)
The Extended Korteweg-de Vries Equation [PDF]
Zeitschrift für Naturforschung A, 1982 A slight and natural extension of the traditional Korteweg-de Vries equation (KdV) allows all (or groups) of its solitons to have the same velocity thus facilitating the application of the KdV to realistic quantum mechanical problems.
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Transverse Instability of Periodic Traveling Waves in the Generalized Kadomtsev-Petviashvili Equation [PDF]
, 2009 In this paper, we investigate the spectral instability of periodic traveling wave solutions of the generalized Korteweg-de Vries equation to long wavelength transverse perturbations in the generalized Kadomtsev-Petviashvili equation.
Johnson, Mathew A., Zumbrun, Kevin
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Complexiton solutions to integrable equations [PDF]
, 2005 Complexiton solutions (or complexitons for short) are exact solutions newly introduced to integrable equations. Starting with the solution classification for a linear differential equation, the Korteweg-de Vries equation and the Toda lattice equation are
Ma, Wen-Xiu
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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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Non-commutative q-Painleve VI equation [PDF]
, 2013 By applying suitable centrality condition to non-commutative non-isospectral lattice modified Gel'fand-Dikii type systems we obtain the corresponding non-autonomous equations. Then we derive non-commutative q-discrete Painleve VI equation with full range
Doliwa, Adam
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AIMS Mathematics, 2022 The approximate solution of the Kersten-Krasil'shchik coupled Korteweg-de Vries-modified Korteweg-de Vries system is obtained in this study by employing a natural decomposition method in association with the newly established Atangana-Baleanu derivative ...
M. Mossa Al-Sawalha +4 more
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Numerical study on diverging probability density function of flat-top solitons in an extended Korteweg-de Vries equation [PDF]
, 2009 We consider an extended Korteweg-de Vries (eKdV) equation, the usual Korteweg-de Vries equation with inclusion of an additional cubic nonlinearity. We investigate the statistical behaviour of flat-top solitary waves described by an eKdV equation in the ...
Ablowitz M +8 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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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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Effect of Coriolis constant on Geophysical Korteweg-de Vries equation
Journal of Ocean Engineering and Science, 2019 The present article investigates the effect of Coriolis constant on the solution of the Geophysical Korteweg-de Vries (gKdV) equation. As such, the Homotopy Perturbation Method (HPM) has been applied here for solving the nonlinear gKdV equation.
P. Karunakar, S. Chakraverty
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