Results 111 to 120 of about 45,671 (275)
Bright and Dark Breathers on an Elliptic Wave in the Defocusing mKdV Equation
Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.ABSTRACT Breathers on an elliptic wave background consist of nonlinear superpositions of a soliton and a periodic wave, both traveling with different wave speeds and interacting periodically in the space‐time. For the defocusing modified Korteweg–de Vries equation, the construction of general breathers has been an open problem since the elliptic wave ...
Dmitry E. Pelinovsky, Rudi Weikard
wiley +1 more source
Solving eigenvalues problems for Helmholtz equation by point-source method
Advanced Engineering Research, 2016 A method of problem solution of the eigenvalues and eigenfunctions for the Helmholtz equation in the domains with arbitrary configuration is worked out.
Elena E. Shcherbakova
doaj +1 more source
A theorem concerning Fourier transforms: A survey
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract In this note, we highlight the impact of the paper G. H. Hardy, A theorem concerning Fourier transforms, J. Lond. Math. Soc. (1) 8 (1933), 227–231 in the community of harmonic analysis in the last 90 years, reviewing, on one hand, the direct generalizations of the main results and, on the other hand, the different connections to related areas ...
Aingeru Fernández‐Bertolin, Luis Vega
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Eigenfunction localization and nodal geometry on dumbbell domains [PDF]
, 2023 Saikat Maji, Soumyajit Saha
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Beyond the Hodge theorem: Curl and asymmetric pseudodifferential projections
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We develop a new approach to the study of spectral asymmetry. Working with the operator curl:=∗d$\operatorname{curl}:={*}\mathrm{d}$ on a connected oriented closed Riemannian 3‐manifold, we construct, by means of microlocal analysis, the asymmetry operator — a scalar pseudodifferential operator of order −3$-3$.
Matteo Capoferri, Dmitri Vassiliev
wiley +1 more source
Value Distribution of the Eigenfunctions and Spectral Determinants of Quantum Star Graphs [PDF]
, 2003 Jonathan P. Keating +2 more
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Eigenvalues and Eigenfunctions of One-Dimensional Fractal Laplacians [PDF]
, 2023 Wei Tang, Jia Guo
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Symmetry, Integrability and Geometry: Methods and Applications, 2007 There exists a large class of quantum many-body systems of Calogero-Sutherland type where all particles can have different masses and coupling constants and which nevertheless are such that one can construct a complete (in a certain sense) set of exact ...
Edwin Langmann
doaj
Eigenfunction expansion for a regular fourth order eigenvalue problem with eigenvalue parameter in the boundry conditions [PDF]
, 1989 E. M. E. Zayed, S. F. M. Ibrahim
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