Results 101 to 110 of about 23,327 (208)
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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The KdV Action and Deformed Minimal Models
, 1992 An action is constructed that gives an arbitrary equation in the KdV or MKdV hierarchies as equation of motion; the second Hamiltonian structure of the KdV equation and the Hamiltonian structure of the MKdV equation appear as Poisson bracket structures ...
Schiff, Jeremy
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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 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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, 2009 The periodic KdV equation u_t=u_{xxx}+\beta uu_x arises from a Hamiltonian system with infinite-dimensional phase space L^2(T). Bourgain has shown that there exists a Gibbs measure \nu on balls \{\phi :\Vert\Phi\Vert^2_{L^2}\leq N\} in the phase space ...
Blower, Gordon
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Applied SciencesThe (2+1)-dimensional fifth-order KdV equation and (2+1)-dimensional Gardner equation obtained by us using Euler equations for an ideal fluid model in 2023 are revisited.
Anna Karczewska, Piotr Rozmej
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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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