Results 51 to 60 of about 18,045 (194)
Whitham theory for perturbed Korteweg-de Vries equation
, 2015 Original Whitham's method of derivation of modulation equations is applied to systems whose dynamics is described by a perturbed Korteweg-de Vries equation. Two situations are distinguished: (i) the perturbation leads to appearance of right-hand sides in
Kamchatnov, A. M.
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Quantifying Suspended Sediment Dynamics Under Energetic Nonlinear Internal Waves of Depression
Geophysical Research Letters, Volume 53, Issue 1, 16 January 2026.Abstract While nonlinear internal wave (NLIW) trains are known to influence near‐sea bed suspended sediment dynamics, the mechanisms remain a topic of debate. We present near‐sea bed observations of suspended sediment concentration C $C$ and estimates of vertical sediment flux, at high vertical‐ and temporal‐resolution, during trains of NLIW of ...
W. C. Edge +4 more
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Noncommutative Korteweg-de-Vries Equation
, 2000 We construct a deformation quantized version (ncKdV) of the KdV equation which possesses an infinite set of conserved densities. Solutions of the ncKdV are obtained from solutions of the KdV equation via a kind of Seiberg-Witten map. The ncKdV is related to a modified ncKdV equation by a noncommutative Miura transformation.
Dimakis, Aristophanes +1 more
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Supersymmetric modified Korteweg–de Vries equation: bilinear approach [PDF]
Nonlinearity, 2005 8 pages, LaTeX using packages amsmath and amssymb, some corrections ...
Liu, Q. P. +2 more
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Numerical study of a multiscale expansion of KdV and Camassa-Holm equation
, 2007 We study numerically solutions to the Korteweg-de Vries and Camassa-Holm equation close to the breakup of the corresponding solution to the dispersionless equation.
Grava, T., Klein, C.
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Smooth soliton solutions of a new integrable equation by Qiao [PDF]
, 2010 We find a transformation which relates a new third-order integrable nonlinear evolution equation, introduced recently by Qiao, with the well-known modified Korteweg - de Vries equation.
Sakovich, Sergei
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Bright and Dark Breathers on an Elliptic Wave in the Defocusing mKdV Equation
Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.ABSTRACT Breathers on an elliptic wave background consist of nonlinear superpositions of a soliton and a periodic wave, both traveling with different wave speeds and interacting periodically in the space‐time. For the defocusing modified Korteweg–de Vries equation, the construction of general breathers has been an open problem since the elliptic wave ...
Dmitry E. Pelinovsky, Rudi Weikard
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Open Physics, 2018 In this work, we are concerned with the ion acoustic quasi-soliton in an electron-positron-ion plasma with superthermal electrons and positrons. By using the reductive perturbation method, the Korteweg-de Vries equation is derived from the governing ...
Wang Jianyong +4 more
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An Inverse Scattering Transform for the Lattice Potential KdV Equation
, 2011 The lattice potential Korteweg-de Vries equation (LKdV) is a partial difference equation in two independent variables, which possesses many properties that are analogous to those of the celebrated Korteweg-de Vries equation.
Ablowitz M J +10 more
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A theorem concerning Fourier transforms: A survey
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract In this note, we highlight the impact of the paper G. H. Hardy, A theorem concerning Fourier transforms, J. Lond. Math. Soc. (1) 8 (1933), 227–231 in the community of harmonic analysis in the last 90 years, reviewing, on one hand, the direct generalizations of the main results and, on the other hand, the different connections to related areas ...
Aingeru Fernández‐Bertolin, Luis Vega
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