Results 71 to 80 of about 6,915 (206)

Self‐Similar Blowup for the Cubic Schrödinger Equation

open access: yesCommunications 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

Single interface effects dominate in exciton-condensate/normal-barrier/exciton-condensate (EC/N/EC) structures of long-barrier

open access: yesNew Journal of Physics, 2018
We study theoretically the exciton-condensate/normal-barrier/exciton-condensate (EC/N/EC) structures in bilayers with a tunable relative phase ϕ _0 between the two exciton condensates (ECs).
Ya-Fen Hsu, Jung-Jung Su
doaj   +1 more source

Stability of a Fully Discrete Local Discontinuous Galerkin Method for the Generalized Benjamin–Ono Equation

open access: yesNumerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.
ABSTRACT The main purpose of this paper is to design a fully discrete local discontinuous Galerkin (LDG) scheme for the generalized Benjamin–Ono equation. First, we prove the L2$$ {L}^2 $$‐stability for the proposed semi‐discrete LDG scheme and obtained a suboptimal order of convergence for power nonlinear flux.
Mukul Dwivedi, Tanmay Sarkar
wiley   +1 more source

The nonlinear Dirac equation in Bose–Einstein condensates: I. Relativistic solitons in armchair nanoribbon optical lattices

open access: yesNew Journal of Physics, 2015
We present a thorough analysis of soliton solutions to the quasi-one-dimensional (quasi-1D) nonlinear Dirac equation (NLDE) for a Bose–Einstein condensate in a honeycomb lattice with armchair geometry.
L H Haddad, C M Weaver, Lincoln D Carr
doaj   +1 more source

Global Occurrence of Solitary Waves in the Martian Magnetosphere

open access: yesGeophysical Research Letters, Volume 53, Issue 11, 16 June 2026.
Abstract This letter presents a global occurrence of bipolar solitary waves (SWs) in the Martian magnetosphere. We utilized medium‐frequency electric field measurements from October 2014 to December 2023 from the Mars Atmosphere and Volatile EvolutioN (MAVEN) spacecraft.
Sahil Pandey, Amar Kakad, Bharati Kakad
wiley   +1 more source

Formation of bright solitons from wave packets with repulsive nonlinearity

open access: yesNew Journal of Physics, 2014
Formation of bright envelope solitons from wave packets with a repulsive nonlinearity was observed for the first time. The experiments used surface spin-wave packets in magnetic yttrium iron garnet thin film strips.
Zihui Wang   +4 more
doaj   +1 more source

Training‐Domain Gaps in Data‐Driven Ocean Color Algorithms

open access: yesGeophysical Research Letters, Volume 53, Issue 11, 16 June 2026.
Abstract Bio‐optical algorithms serve a critical role, enabling satellite‐based monitoring of the global ocean and its ecosystems. These largely empirical algorithms invert satellite measurements of water leaving reflectance (“ocean color”) to biogeochemical parameters such as chlorophyll a, but often fail to generalize beyond their training data ...
P. C. Gray   +4 more
wiley   +1 more source

Plasma Stability in Turbulent Magnetic Flux Ropes Downstream of a Collisionless Shock

open access: yesGeophysical Research Letters, Volume 53, Issue 11, 16 June 2026.
Abstract How pre‐existing solar wind turbulence, and coherent structures such as magnetic flux ropes within it, influence the transition of plasma across a shock is still poorly understood. Recently, in situ observations from the Earth's magnetosheath have been used to study plasma stability against ion kinetic instabilities. In the turbulent flow, the
L. Vuorinen   +3 more
wiley   +1 more source

Solitons in Interaction [PDF]

open access: yesProgress of Theoretical Physics, 1987
Several new nonlinear systems are given which are completely integrable. These systems can be considered as flows describing the self-interaction of single solitons in multisoliton fields. The construction of action variables, recursion operators, bi-hamiltonian formulation and the like is performed for these nonlinear systems.
openaire   +3 more sources

High‐Energy Topological Edge States and Strain‐Induced Multiple Flat Bands in a Honeycomb Lattice

open access: yesNanophotonics, Volume 15, Issue 11, 13 June 2026.
This work proposes a novel anti‐twig edge in the honeycomb lattice that supports two symmetric high‐energy edge states. Moreover, the suppression or enhancement of the high‐energy edge state is observed, and strain‐induced multiple flat bands are produced.
Xiaoqin Bai   +4 more
wiley   +1 more source

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