Results 61 to 70 of about 23,327 (208)
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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Modulational stability of Korteweg-de Vries and Boussinesq wavetrains
International Journal of Mathematics and Mathematical Sciences, 1983 The modulational stability of both the Korteweg-de Vries (KdV) and the Boussinesq wavetrains is investigated using Whitham's variational method. It is shown that both KdV and Boussinesq wavetrains are modulationally stable.
Bhimsen K. Shivamoggi, Lokenath Debnath
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Hamiltonian formulation of SL(3) Ur-KdV equation
, 1993 We give a unified view of the relation between the $SL(2)$ KdV, the mKdV, and the Ur-KdV equations through the Fr\'{e}chet derivatives and their inverses.
Chung, B. K., Joo, K. G., Nam, Soonkeon
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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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Axioms, 2023 In this study, the inverse engineering problems of the Ostrovsky equation (OE), Kawahara equation (KE), modified Kawahara equation (mKE), and sixth-order Korteweg-de Vries (KdV) equation will be investigated numerically.
Chih-Wen Chang
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Advanced Science, Volume 13, Issue 18, 27 March 2026.A skin‐inspired multilayered coating system is developed to integrate multiple, often conflicting, functions of self‐healing capability, strong liquid repellency, long‐term corrosion resistance, and robust adhesion, to tackle diverse challenges in engineering services.
Bingzhi Li +8 more
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Slab Gap‐Related Intraplate Magmatism as a Proxy of Maximum Flat Slab Extent in Patagonia
Geochemistry, Geophysics, Geosystems, Volume 27, Issue 3, March 2026.Abstract Establishing the frontal extent of ancient flat subduction events from the geologic record can be challenging. This difficulty arises because magmatic activity in the arc typically ceases during complete slab flattening, and other meaningful proxies are usually absent. To address this issue, we examine early Paleocene intraplate magmatic units
C. R. Navarrete +3 more
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Loop groups and equations of KdV type [PDF]
Publications Mathématiques de l'IHÉS, 1985 This paper deals with a construction of solutions of KdV-type equations through infinite dimensional Grassmannian constructions initiated by M. Sato. \textit{M. Sato} and \textit{Y. Sato} [Nonlinear partial differential equations in applied science, Proc. U.S.-Jap. Semin., Tokyo 1982, North-Holland Math. Stud.
Segal, G, Wilson, G
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Epilepsia, Volume 67, Issue 3, Page 1032-1048, March 2026.Abstract Consensus‐based recommendations (CBRs) are essential for health care decision‐making when evidence is limited or conflicting. They can be developed using established methodologies such as the Delphi technique, the nominal group technique (NGT), and the RAND Corporation/University of California Los Angeles (UCLA) Appropriateness Method (RAM ...
Rowan Haffner +14 more
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Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We study the multiplicative statistics associated to the limiting determinantal point process describing eigenvalues of unitary random matrices with a critical edge point, where the limiting eigenvalue density vanishes like a power 5/2. We prove that these statistics are governed by the first three equations of the Korteweg‐de‐Vries (KdV ...
Mattia Cafasso +1 more
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