Results 51 to 60 of about 23,327 (208)
Free Surface Waves in Electrohydrodynamics With a Prescribed Vorticity Distribution
Mathematical Methods in the Applied Sciences, Volume 49, Issue 7, Page 7068-7081, 15 May 2026.ABSTRACT Traditionally, the study of free surface flows assumed irrotationality to simplify matters, and the results seemed to have great success, notably with the Korteweg‐de Vries(KdV) equation. In the past decade, there have been attempts to remove this seemingly strong condition and replace it with a global constant vorticity equivalent to a linear
M. J. Hunt, Denys Dutykh
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Justification of the NLS Approximation for the KdV Equation Using the Miura Transformation
Advances in Mathematical Physics, 2011 It is the purpose of this paper to give a simple proof of the fact that solutions of the KdV equation can be approximated via solutions of the NLS equation.
Guido Schneider
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Computing the Solutions of the Combined Korteweg-de Vries Equation by Turing Machines [PDF]
Electronic Proceedings in Theoretical Computer Science, 2010 In this paper, we study the computability of the initial value problem of the Combined KdV equation. It is shown that, for any integer s>2, the nonlinear solution operator which maps an initial condition data to the solution of the Combined KdV ...
Dianchen Lu, Qingyan Wang, Rui Zheng
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, 2001 In this paper, some notes of the homogeneous balance (HB) method are discussed by a kind of general fifth-order KdV (fKdV) equation. Frist, the auto-B\"acklund transformation and lax represents of the higher-order KdV equation(a specific forms of fKdV ...
Fajiang, Zhang, Lei, Yang, Yinghai, Wang
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An Explicit Construction of Kaleidocycles by Elliptic Theta Functions
Studies in Applied Mathematics, Volume 156, Issue 5, May 2026.ABSTRACT We study a configuration space consisting of ordered points on the two‐dimensional sphere satisfying a system of quadratic constraints. We construct explicit periodic orbits in the configuration space using elliptic theta functions. The constructed orbits simultaneously satisfy semi‐discrete analogues of the modified KdV and sine‐Gordon ...
Shizuo Kaji +2 more
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European Law Journal, Volume 32, Issue 1, Page 144-161, April 2026.ABSTRACT Seeing the EU roughly as a political system designed to remove the most essential political decisions from democratic control, while in a large part abiding by legal frameworks, we could speak about an opposition between technocratic legalism and democracy.
Dimitry V. Kochenov +1 more
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Soliton solutions to the time-dependent coupled KdV–Burgers’ equation
Advances in Difference Equations, 2019 In this article, the authors apply the Lie symmetry approach and the modified (G′/G) $( G'/G )$-expansion method for seeking the solutions of time-dependent coupled KdV–Burgers equation.
Aisha Alqahtani, Vikas Kumar
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The simplified Hirota’s method for studying three extended higher-order KdV-type equations
Journal of Ocean Engineering and Science, 2016 In this work we study three extended higher-order KdV-type equations. The Lax-type equation, the Sawada–Kotera-type equation and the CDG-type equation are derived from the extended KdV equation.
Abdul-Majid Wazwaz
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Variable depth KDV equations and generalizations to more nonlinear regimes [PDF]
, 2008 We study here the water-waves problem for uneven bottoms in a highly nonlinear regime where the small amplitude assumption of the Korteweg-de Vries (KdV) equation is enforced.
Alvarez-Samaniego +28 more
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KdV equation on riemann surfaces
Nuclear Physics B, 1989 Abstract We define a generalization of the KdV equation to Riemann surfaces, together with the corresponding hierarchy of equations and infinite set of charges in involution. We show that the second hamiltonian structure gives rise to a realization of the Krichever-Novikov algebra.
BONORA L., MATONE, MARCO
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