Results 41 to 50 of about 1,202,128 (276)

Complete integrability of a modified vector derivative nonlinear Schroedinger equation

, 1994
Oblique propagation of magnetohydrodynamic waves in warm plasmas is described by a modified vector derivative nonlinear Schroedinger equation, if charge separation in Poisson's equation and the displacement current in Ampere's law are properly taken into
Hereman, Willy, Verheest, Frank, Willox, Ralph   +2 more
core   +2 more sources

Large Deviations in Stochastic Heat-Conduction Processes Provide a Gradient-Flow Structure for Heat Conduction [PDF]

, 2014
We consider three one-dimensional continuous-time Markov processes on a lattice, each of which models the conduction of heat: the family of Brownian Energy Processes with parameter $m$, a Generalized Brownian Energy Process, and the Kipnis-Marchioro ...
Ambrosio L., Callen H. B., Frank Redig, Kiamars Vafayi, Mark A. Peletier, Stroock D. W.   +5 more
core   +5 more sources

Pharmacological inhibition of the PERK pathway modulates hepatocellular carcinoma growth and immune signaling

FEBS Open Bio, EarlyView.
Pharmacological inhibition of PERK in a DEN‐induced mouse model of liver cancer does not reduce tumor burden but alters cellular stress signaling. Despite blocking PERK activity, downstream stress responses, including CHOP expression, remain active, suggesting compensatory mechanisms within the unfolded protein response that may influence tumor ...
Ada Lerma‐Clavero, Maria Kopsida, Nathalie Arendt, Hans Lennernäs, Markus Sjöblom, Femke Heindryckx   +5 more
wiley   +1 more source

Novel soliton solutions and phase plane analysis in nonlinear Schrödinger equations with logarithmic nonlinearities

Scientific Reports
This paper investigates a generalized form of the nonlinear Schrödinger equation characterized by a logarithmic nonlinearity. The nonlinear Schrödinger equation, a fundamental equation in nonlinear wave theory, is applied across various physical systems ...
Du’a Al-zaleq, Lewa’ Alzaleq
doaj   +1 more source

Geometrically Constructed Family of the Simple Fixed Point Iteration Method

Mathematics, 2021
This study presents a new one-parameter family of the well-known fixed point iteration method for solving nonlinear equations numerically. The proposed family is derived by implementing approximation through a straight line.
Vinay Kanwar, Puneet Sharma, Ioannis K. Argyros, Ramandeep Behl, Christopher Argyros, Ali Ahmadian, Mehdi Salimi   +6 more
doaj   +1 more source

Discrete Multiscale Analysis: A Biatomic Lattice System

, 2010
We discuss a discrete approach to the multiscale reductive perturbative method and apply it to a biatomic chain with a nonlinear interaction between the atoms. This system is important to describe the time evolution of localized solitonic excitations. We
Ablowitz M. J., Agrotis M., Ashcroft N. W., Assanto G., Bender C. M., Bransden B. H., Calogero F., Calogero F., Campa A., Chubykalo O. A., Dash P. C., Dash P. C., Di Bucchianico A., Gardner C. S., Henry B. I., Hernández Heredero R., Jordan C., Korteweg D. J., Kraenkel R. A., Leon J., Levi D., Levi D., Levi D., Mokross F., Olsen O. H., Roman S., Rota G. C., Schoombie S. W., Scott A., Shelkan A., Taniuti T., Taniuti T., Toda M., Yajima N., Yamilov R., Zabusky N. J., Zabusky N. J.   +36 more
core   +1 more source

Super rogue waves in simulations based on weakly nonlinear and fully nonlinear hydrodynamic equations [PDF]

, 2013
The rogue wave solutions (rational multi-breathers) of the nonlinear Schrodinger equation (NLS) are tested in numerical simulations of weakly nonlinear and fully nonlinear hydrodynamic equations. Only the lowest order solutions from 1 to 5 are considered.
Akhmediev, N., Chabchoub, A., Hoffmann, N., Onorato, M., Pelinovsky, E., Sergeeva, A., Slunyaev, A.   +6 more
core   +3 more sources

Long‐Term Follow‐Up of Chemotherapy‐Associated Biological Aging in Women With Early Breast Cancer

Aging and Cancer, EarlyView.
Women threated with adjuvant chemotherapy for early breast cancer have sustained long‐term increase in p16INK4a,, a robust marker of cell senescence, suggesting a chemotherapy‐associated age acceleration. p16INK4a as well as other biomarkers may identify patients at greatest risk for senescence‐related diseases of aging.
Hyman B. Muss, Alexis C. Wardell, Allison M. Deal, Kirsten A. Nyrop, Allison Ross, Yara G. Abdou, Jeffrey D. Aldrich, Lisa A. Cary, E. Claire Dees, Katherine E. Reeder‐Hayes, Emily M. Ray, Natalia Mitin, Denis Tsygankov   +12 more
wiley   +1 more source

An Analysis of the Nonstandard Finite Difference and Galerkin Methods Applied to the Huxley Equation

Mathematics
The Huxley equation, which is a nonlinear partial differential equation, is used to describe the ionic mechanisms underlying the initiation and propagation of action potentials in the squid giant axon.
Pius W. M. Chin, Claude R. B. Moutsinga, Khadijo R. Adem   +2 more
doaj   +1 more source

The nonlinear fragmentation equation

, 2007
We study the kinetics of nonlinear irreversible fragmentation. Here fragmentation is induced by interactions/collisions between pairs of particles, and modelled by general classes of interaction kernels, and for several types of breakage models.
Ernst, M. H., Pagonabarraga, I.
core   +2 more sources