Results 101 to 110 of about 7,793,680 (284)
, 2020 The AdS soliton is a nonsingular spacetime that has a flat conformal boundary with a compact \(S^1\) direction. We find a horizonless cohomogeneity-1 metric that describes nonlinear gravitational oscillations of the AdS soliton in five dimensions.
Murata, Keiju +2 more
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Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1831-1918, August 2026.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley +1 more source
The Evolutionary Properties on Solitary Solutions of Nonlinear Evolution Equations
Advances in Mathematical Physics, 2017 The evolution process of four class soliton solutions is investigated by basic calculus theory. For any given x, we describe the special curvature evolution following time t for the curve of soliton solution and also study the fluctuation of solution ...
Wenxia Chen +3 more
doaj +1 more source
Exceptional Light Propagation via Generalized Bulk‐Edge Correspondence
Nanophotonics, Volume 15, Issue 13, 13 July 2026.We show that unlike in electronic systems, localized edge states in topological photonics are governed not only by nontrivial bulk topology, but also by polarization‐dependent light‐line confinement conditions inherent to Maxwell's equations. This fundamentally generalized bulk‐edge correspondence unlocks new regimes of tunable near‐cutoff localization
Heitor da Silva +4 more
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Bright solitary waves and non-equilibrium dynamics in atomic Bose-Einstein condensates [PDF]
, 2012 In this thesis we investigate the static properties and non-equilibrium dynamics of bright solitary waves in atomic Bose-Einstein condensates in the zero-temperature limit, and we investigate the non-equilibrium dynamics of a driven atomic Bose-Einstein ...
BILLAM, THOMAS,PAUL +2 more
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A Survey of Interlayer Interaction Models for Graphene and Other 2D Materials
Advanced Materials Interfaces, Volume 13, Issue 13, 7 July 2026.Van der Waals interactions arising from electronic polarization at atomically close interfaces generate corrugated interlayer energy landscapes that govern normal and tangential tractions. This review presents an overview of quantum, atomistic, analytical, and continuum modeling approaches, highlighting their roles across length scales in capturing ...
Gourav Yadav +2 more
wiley +1 more source
The N-soliton solution of the modified generalised Vakhnenko equation (a new nonlinear evolution equation) [PDF]
, 2003 The N-soliton solution of a new nonlinear evolution equation, the modified generalised Vakhnenko equation, is found. The solution, which is obtained by using a blend of transformations of the independent variables and Hirota's method, is expressed in ...
Morrison, A.J., Parkes, E.J.
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Modulated Soliton Solution of the Modified Kuramoto-Sivashinsky's Equation
, 2012 We constructed in this work a modulated soliton solution.
C. T. D. Tchaho +2 more
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Parameter control of optical soliton in one‐dimensional photonic crystal
Mathematical Modelling and Analysis, 2010 The paper deals with finding of soliton solution for Schrödinger equation with periodic linear and nonlinear properties of medium in 1D case. Such structure is named as photonic crystal.
Vyacheslav A. Trofimov +3 more
doaj +1 more source
Engineering Reports, Volume 8, Issue 7, July 2026.Analytical fuzzy soliton solutions of a modified space–time fractional ϕ4$$ {\phi}^4 $$ model are derived using EHFM, capturing memory effects and uncertainty. Results reveal diverse wave structures and show how fractional order and fuzziness significantly influence soliton amplitude, localization, and propagation, with heightened sensitivity near the ...
Mohsin Khalid +3 more
wiley +1 more source