Results 171 to 180 of about 157,319 (379)
Extended Auxiliary Equation Method and Its Applications to Three Generalized NLS Equations
, 2014 The auxiliary equation method proposed by Sirendaoreji is extended to construct new types of elliptic function solutions of nonlinear evolution equations.
Gui-qiong Xu
semanticscholar +1 more source
Myomaker and Myomixer are required for craniofacial myoblast fusion in zebrafish
Developmental Dynamics, EarlyView.Abstract Background Craniofacial and trunk skeletal muscles are derived from different progenitor populations during development. Trunk skeletal muscles contain mostly multinucleated myofibers that are formed through myoblast fusion. However, myoblast fusion in craniofacial muscles and its molecular regulation are not well understood.
Zhanxiong Zhang +3 more
wiley +1 more source
Large scale limit for a dispersion-managed NLS [PDF]
arXivWe derive the standard power-type NLS as a scaling limit of the Gabitov--Turitsyn dispersion-managed NLS, using the $2d$ defocusing, cubic equation as a model case. In particular, we obtain global-in-time scattering solutions to the dispersion-managed NLS for large scale data of arbitrary $L^2$-norm.
arxiv
Hodge loci associated with linear subspaces intersecting in codimension one [PDF]
Let $X\subset \mathbb{P}^{2k+1}$ be a smooth hypersurface containing two k-dimensional linear spaces $\Pi_1,\Pi_2$ intersecting in codimension one. In this paper we study the question whether the Hodge loci $NL([\Pi_1]+\lambda[\Pi_2])$ and $NL([\Pi_1],[\Pi_2])$ coincide.
arxiv +1 more source
The link of FOXO1 and FOXO4 transcription factors to development of the lens
Developmental Dynamics, EarlyView.Abstract Background The FOXOs regulate the transcription of many genes, including ones directly linked to pathways required for lens development. However, this transcription factor family has rarely been studied in the context of development, including the development of the lens.
Rifah N. Gheyas +3 more
wiley +1 more source
Let's Reason Formally: Natural-Formal Hybrid Reasoning Enhances LLM's Math Capability [PDF]
arXivEnhancing the mathematical reasoning capabilities of LLMs has garnered significant attention in both the mathematical and computer science communities. Recent works have made substantial progress in both Natural Language (NL) reasoning and Formal Language (FL) reasoning by leveraging the potential of pure Reinforcement Learning (RL) methods on base ...
arxiv
EcoEnergy, EarlyView.The interstitial electrons of electride Hf2Se form topological states on the Fermi surface, coupled with low work function feature, enhancing the activity of hydrogen evolution reaction on the (001) surface. Abstract Recently, the emergence of topological electride catalysts has attracted significant attention in the fields of condensed matter physics,
Weizhen Meng +6 more
wiley +1 more source
Spectra of Linearized Operators for NLS Solitary Waves [PDF]
arXiv, 2006 Nonlinear Schr\"odinger (NLS) equations with focusing power nonlinearities have solitary wave solutions. The spectra of the linearized operators around these solitary waves are intimately connected to stability properties of the solitary waves, and to the long-time dynamics of solutions of (NLS).
arxiv
Ecography, EarlyView.Body size is a key functional trait that has declined in many biological communities, partly due to changes in individual growth rates in response to climate warming. However, our understanding of growth responses in natural populations is limited by relatively short time series without large temperature contrasts and unknown levels of adaptation to ...
Max Lindmark +2 more
wiley +1 more source
Integrable Hierarchy of Higher Nonlinear Schrödinger Type Equations
Symmetry, Integrability and Geometry: Methods and Applications, 2006 Addition of higher nonlinear terms to the well known integrable nonlinear Schrödinger (NLS) equations, keeping the same linear dispersion (LD) usually makes the system nonintegrable. We present a systematic method through a novel Eckhaus-Kundu hierarchy,
Anjan Kundu
doaj