Results 41 to 50 of about 987,859 (318)

A Bivariate Chebyshev Spectral Collocation Quasilinearization Method for Nonlinear Evolution Parabolic Equations

open access: yesThe Scientific World Journal, 2014
This paper presents a new method for solving higher order nonlinear evolution partial differential equations (NPDEs). The method combines quasilinearisation, the Chebyshev spectral collocation method, and bivariate Lagrange interpolation.
S. S. Motsa, V. M. Magagula, P. Sibanda
doaj   +1 more source

Parton recombination effect in polarized parton distributions

open access: yes, 2004
Parton recombination corrections to the standard spin-dependent Altarelli-Parisi evolution equation are considered in a nonlinear evolution equation. The properties of this recombination equation and its relation with the spin-averaged form are discussed.
Abramovsky   +13 more
core   +1 more source

Investigation on breather waves and rogue waves in applied mechanics and physics

open access: yesAlexandria Engineering Journal, 2021
Nonlinear evolution equation is a research hot spot in the field of science and engineering. Recently, searching for breather and rogue wave solutions to nonlinear evolution equations has become a popular topic in nonlinear mathematical physics.
Xueai Yin   +4 more
doaj   +1 more source

LINC01116, a hypoxia‐lncRNA marker of pathological lymphangiogenesis and poor prognosis in lung adenocarcinoma

open access: yesMolecular Oncology, EarlyView.
The LINC01116 long noncoding RNA is induced by hypoxia and associated with poor prognosis and high recurrence rates in two cohorts of lung adenocarcinoma patients. Here, we demonstrate that besides its expression in cancer cells, LINC01116 is markedly expressed in lymphatic endothelial cells of the tumor stroma in which it participates in hypoxia ...
Marine Gautier‐Isola   +12 more
wiley   +1 more source

The Effect Of Randomness On The Stability Of Capillary Gravity Waves In The Presence Of Air Flowing Over Water

open access: yesInternational Journal of Applied Mechanics and Engineering, 2015
A nonlinear spectral transport equation for the narrow band Gaussian random surface wave trains is derived from a fourth order nonlinear evolution equation, which is a good starting point for the study of nonlinear water waves.
D.P. Majumder, A.K. Dhar
doaj   +1 more source

Nonlinear superhorizon curvature perturbation in generic single-field inflation

open access: yes, 2013
We develop a theory of nonlinear cosmological perturbations on superhorizon scales for generic single-field inflation. Our inflaton is described by the Lagrangian of the form $W(X,\phi)-G(X,\phi)\Box\phi$ with $X=-\partial^{\mu}\phi\partial_{\mu}\phi/2$,
Kobayashi, Tsutomu, Takamizu, Yu-ichi
core   +1 more source

Smooth soliton solutions of a new integrable equation by Qiao [PDF]

open access: yes, 2010
We find a transformation which relates a new third-order integrable nonlinear evolution equation, introduced recently by Qiao, with the well-known modified Korteweg - de Vries equation.
Sakovich, Sergei
core   +3 more sources

LDAcoop: Integrating non‐linear population dynamics into the analysis of clonogenic growth in vitro

open access: yesMolecular Oncology, EarlyView.
Limiting dilution assays (LDAs) quantify clonogenic growth by seeding serial dilutions of cells and scoring wells for colony formation. The fraction of negative wells is plotted against cells seeded and analyzed using the non‐linear modeling of LDAcoop.
Nikko Brix   +13 more
wiley   +1 more source

Abundant closed-form wave solutions and dynamical structures of soliton solutions to the (3+1)-dimensional BLMP equation in mathematical physics

open access: yesJournal of Ocean Engineering and Science, 2022
The physical principles of natural occurrences are frequently examined using nonlinear evolution equations (NLEEs). Nonlinear equations are intensively investigated in mathematical physics, ocean physics, scientific applications, and marine engineering ...
Sachin Kumar, Amit Kumar
doaj   +1 more source

Quantized representation of some nonlinear integrable evolution equations on the soliton sector

open access: yes, 2010
The Hirota algorithm for solving several integrable nonlinear evolution equations is suggestive of a simple quantized representation of these equations and their soliton solutions over a Fock space of bosons or of fermions.
A. R. Forsyth   +9 more
core   +1 more source

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