Results 91 to 100 of about 8,826 (233)

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

Optical solitons for the concatenation model with fractional temporal evolution

Ain Shams Engineering Journal
This paper recovers the optical solitons for the concatenation model that comes with fractional temporal evolution and Kerr–law of self–phase modulation by the usage of the enhanced direct algebraic approach.
Ahmed H. Arnous, Muhammad Amin S. Murad, Anjan Biswas, Yakup Yildirim, Puiu Lucian Georgescu, Luminita Moraru, Anwar Jaafar Mohamad Jawad, Layth Hussein   +7 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, Sergey K. Ivanov, Isaac Suárez, José R. Salgueiro, Albert Ferrando   +4 more
wiley   +1 more source

Characteristics of solitons and Kuznetsov-Ma breathers in dispersion management optical fiber

Results in Engineering
The resonance, intensity redistribution and phase shift of collision of two solitons and three solitons in dispersion management optical fiber is discussed.
R. Ravichandran, E. Parasuraman, Chandramauleshwar Roy   +2 more
doaj   +1 more source

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, Shakti S. Gupta, Roger A. Sauer   +2 more
wiley   +1 more source

Incoherent multi-gap optical solitons in nonlinear photonic lattices [PDF]

, 2015
We demonstrate numerically that partially incoherent light can be trapped in the spectral band gaps of a photonic lattice, creating partially incoherent multi-component spatial optical solitons in a self-defocusing nonlinear periodic medium.We find ...
Kaiser, Friedemann, Motzek, Kristian, Sukhorukov, Andrey, Kivshar, Yuri   +3 more
core   +1 more source

Uncertainty Quantification of Analytical Solutions for the Nonlinear Space and Time Fractional Order ϕ4$$ {\phi}^4 $$ Equation Under Fuzziness

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, Neha Andaleeb Khalid, Baboucarr Ceesay, Zafar Iqbal   +3 more
wiley   +1 more source

Helmholtz-Manakov solitons [PDF]

, 2006
A novel spatial soliton-bearing wave equation is introduced, the Helmholtz-Manakov (H-M) equation, for describing the evolution of broad multi-component self-trapped beams in Kerr-type media. By omitting the slowly-varying envelope approximation, the H-M
McDonald, GS, Christian, JM, Chamorro-Posada, P   +2 more
core   +1 more source

Vector spatial and spatiotemporal laser solitons

Nanophotonics
Dissipative optical solitons, i.e. packets of radiation localized not due to the presence of optical inhomogeneities of the scheme or medium, but due to the balance of energy inflow and outflow in a nonlinear medium, deserve special attention for a ...
Fedorov Sergey V., Veretenov Nikolay A., Rosanov Nikolay N.   +2 more
doaj   +1 more source

Fractional solitons with cubic dispersion [PDF]

APL Photonics
We report solitons in the presence of a cubic nonlinearity and piecewise cubic dispersion. This dispersion ensures that the associated group velocity of the light increases monotonically with frequency as required for the formation of optical solitons ...
Trong Thuy Ha, Wenhao Liu, Carlo Silvestri, Antoine F. J. Runge, C. Martijn de Sterke   +4 more
doaj   +1 more source