Results 1 to 10 of about 1,197 (185)
Letters in Mathematical Physics, 1997 A quantum theory is developed for a difference-difference system which can serve as a toy-model of the quantum Korteveg-de-Vries equation.
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A scalar Riemann-Hilbert problem on the torus: applications to the KdV equation. [PDF]
Anal Math Phys, 2022 Piorkowski M, Teschl G.
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On rational similarity solutions of $KdV$ and $m$-$KdV$ equations
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1983 This note presents rational similarity solutions \(u_ n\) in series for the KdV equation and \(v_ n\) for the modified-KdV equation. These solutions were expressed in terms of polynomials originally introduced by Yablonskij (1959) and Vorobiev (1965) to describe rational solutions of the second Painlevé equation.
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A compact finite difference scheme with absorbing boundary condition for forced KdV equation. [PDF]
MethodsX, 2023 Chen J, Dai W.
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On the KdV Equation with Hysteresis
World Journal of Mechanics, 2011 This paper discusses the generalized play hysteresis operator in connection with the KdV equation. Results from the nonlinear semigroup theory are applied to assure the existence and uniqueness. The KdV equation with hysteresis is reduced to a system of differential inclusions and solved.
Marius-Florinel Ionescu +2 more
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Complexity, 2018 The study of ion-acoustic solitary waves in a magnetized plasma has long been considered to be an important research subject and plays an increasingly important role in scientific research. Previous studies have focused on the integer-order models of ion-
Min Guo +4 more
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On the Stability of Periodic Multi-Solitons of the KdV Equation. [PDF]
Commun Math Phys, 2021 Kappeler T, Montalto R.
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A Refined Well-Posedness Result for the Modified KdV Equation in the Fourier-Lebesgue Spaces. [PDF]
J Dyn Differ Equ, 2023 Chapouto A.
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On “new travelling wave solutions” of the KdV and the KdV–Burgers equations [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Solitary wave solutions of two KdV-type equations
Open Physics, 2018 The present paper investigates the solitary wave solutions of the nonlinear evolution equations with power nonlinearties. The study has been carried out for two examples of KdV-type equations, namely, the nonlinear dispersive equation and the generalised
Al-Ghafri Khalil Salim
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