Results 81 to 90 of about 1,197 (185)
AIP Advances, 2014 In this paper, KdV-Burger-Kuramoto equation involving instability, dissipation, and dispersion parameters is solved numerically. The numerical solution for the fractional order KdV-Burger-Kuramoto (KBK) equation has been presented using two-dimensional ...
A. K. Gupta, S. Saha Ray
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Insensitizing control of KDV–Burgers equations
Journal of Electrical Systems and Information Technology, 2018 This paper deals with the problem of insensitizing control of KDV–Burgers equation. This analysis produces a special type of null controllability, and shows that the nonlinear KDV–Burgers equation can be solved in terms of an insensitizing control.
Ravi Kumar Rajagounder, Chong Kil To
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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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A well-posedness result for an extended KdV equation
Partial Differential Equations in Applied MathematicsAmong the most interesting things Russell discovered was there is a mathematical relation between the height of the wave, the depth of the wave when water at rest and the speed at which the wave travels.
M. Berjawi, T. El Arwadi, S. Israwi
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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
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Modulation Equations Near the Eckhaus Boundary: The KdV Equation
SIAM Journal on Mathematical Analysis, 2020 We are interested in the description of small modulations in time and space of wave-train solutions to the complex Ginzburg-Landau equation \begin{align*} \partial_T Ψ= (1+ i α) \partial_X^2 Ψ+ Ψ- (1+i β) Ψ|Ψ|^2, \end{align*} near the Eckhaus boundary, that is, when the wave train is near the threshold of its first instability.
Tobias Haas +2 more
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Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.ABSTRACT We study the nonlinear Schrödinger equation with a competing cubic–quintic power‐law nonlinearity on the waveguide domain Rx×TLy$\mathbb {R}_x \times \mathbb {T}_{L_y}$. This model is globally well‐posed and admits line solitary wave solutions, whose transverse (in‐)stability is numerically investigated.
Christian Klein, Christof Sparber
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PLoS ONE, 2022 Korteweg-de Vries Caudrey-Dodd-Gibbon (KdV-CDG) equation describes many physical phenomena in plasma physics, optical fibers, dynamics of the ocean, quantum mechanics, acoustic waves and laser optical applications.
Saima Arshed +3 more
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Hamiltonian formulation of the KdV equation
Journal of Mathematical Physics, 1984 We consider the canonical formulation of Whitham’s variational principle for the KdV equation. This Lagrangian is degenerate and we have found it necessary to use Dirac’s theory of constrained systems in constructing the Hamiltonian. Earlier discussions of the Hamiltonian structure of the KdV equation were based on various different decompositions of ...
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Optimal system and dynamics of optical soliton solutions for the Schamel KdV equation. [PDF]
Sci Rep, 2023 Hussain A +4 more
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