Results 41 to 50 of about 18,115 (195)
Advances in Mathematical Physics, 2019 The Sawada-Kotera equation with a nonvanishing boundary condition, which models the evolution of steeper waves of shorter wavelength than those depicted by the Korteweg de Vries equation, is analyzed and also the perturbed Korteweg de Vries (pKdV ...
Abdullahi Rashid Adem +3 more
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The fifth‐order Korteweg‐de Vries equation [PDF]
International Journal of Mathematics and Mathematical Sciences, 1996 Decomposition is applied to the 5th‐order KdV equation.
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Complex solitons with real energies [PDF]
, 2016 Using Hirota’s direct method and Bäcklund transformations we construct explicit complex one and two-soliton solutions to the complex Korteweg-de Vries equation, the complex modified Korteweg-de Vries equation and the complex sine-Gordon equation. The one-
Abramowitz M +15 more
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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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Numerical inverse scattering for the Korteweg–de Vries and modified Korteweg–de Vries equations [PDF]
Physica D: Nonlinear Phenomena, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Trogdon, Thomas +2 more
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Wronskians, Generalized Wronskians and Solutions to the Korteweg-de Vries Equation
, 2003 A bridge going from Wronskian solutions to generalized Wronskian solutions of the Korteweg-de Vries equation is built. It is then shown that generalized Wronskian solutions can be viewed as Wronskian solutions.
Ma, Wen-Xiu
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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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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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