Results 51 to 60 of about 3,516,005 (280)
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq +4 more
wiley +1 more source
Results in Physics, 2016 We consider the generalized fifth-order KdV type nonlinear evolution equation with variable coefficients. The system technique has been applied rigorously in order to find new exact solutions of the considered equations.
Hyunsoo Kim, Sunmi Lee
doaj +1 more source
European Law Journal, EarlyView.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
wiley +1 more source
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
doaj +1 more source
A systematic color correction pipeline for controlled‐environment imaging
The Plant Phenome Journal, Volume 9, Issue 1, December 2026.ABSTRACT We present a stepwise color correction (CC) pipeline for controlled imaging environments. The workflow integrates flat‐field correction (FFC), gamma correction, and white‐balance correction, followed by a color‐mapping (CM) stage using machine‐learning regression—linear, partial least squares, and neural networks (NNs)—to deliver reliable CC ...
Collins Wakholi +7 more
wiley +1 more source
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
doaj +1 more source
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
doaj +1 more source
The Linearized Korteweg–de Vries Equation on the Line With Metric Graph Defects
Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.ABSTRACT We study the small‐amplitude linearization of the Korteweg–de Vries equation on the line with a local defect scattering waves represented by a metric graph domain adjoined at one point. For a representative collection of examples, we derive explicit solution formulas expressed as contour integrals and obtain existence and unicity results for ...
D. A. Smith
wiley +1 more source
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
doaj +1 more source
On the Radius of Spatial Analyticity for the Quartic Generalized KdV Equation [PDF]
Annales de l'Institute Henri Poincare. Physique theorique, 2017 Lower bound on the rate of decrease in time of the uniform radius of spatial analyticity of solutions to the quartic generalized KdV equation is derived, which improves an earlier result by Bona, Grujić and Kalisch.
S. Selberg, Achenef Tesfahun
semanticscholar +1 more source