Results 31 to 40 of about 1,202,128 (276)

Singular standing-ring solutions of nonlinear partial differential equations

, 2009
We present a general framework for constructing singular solutions of nonlinear evolution equations that become singular on a d-dimensional sphere, where d>1. The asymptotic profile and blowup rate of these solutions are the same as those of solutions of
Bricmont, Budd, Budd, Ditkowsky, Fibich, Fibich, Fibich, Gadi Fibich, Galaktionov, Galaktionoy, Gavish, Giga, Giga, Grow, Guy Baruch, Herrero, Herrero, Herrero, Ilan, Matos, Merle, Merle, Nir Gavish, Raphael, Raphael, Ren, Sulem, Velaquez, Zaag, Zaag, Zaag   +30 more
core   +1 more source

On solvability of a mixed value problem for nonlinear partial differential equation of higher order

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013
The questions of one valued generalized solvability of mixed value problem for nonlinear partial differential equation with the parabolic operator of arbitrary natural power are studied. The separation of variables is used.
Tursun K Yuldashev
doaj   +1 more source

Markov vs. nonMarkovian processes A comment on the paper Stochastic feedback, nonlinear families of Markov processes, and nonlinear Fokker-Planck equations by T.D. Frank

, 2007
The purpose of this comment is to correct mistaken assumptions and claims made in the paper Stochastic feedback, nonlinear families of Markov processes, and nonlinear Fokker-Planck equations by T. D. Frank.
Arnold, Bassler, Borland, Courbage, Durrett, Feller, Frank, Friedman, Gallucio, Hänggi, Hänggi, Joseph L. McCauley, Wang   +12 more
core   +1 more source

The extended Fan’s sub-equation method and its application to nonlinear Schrödinger equation with saturable nonlinearity

Results in Physics, 2023
This article discusses the saturable nonlinear Schrödinger equation, which is a key equation in the study of condensed matter physics, plasma physics, and nonlinear optics.
Romana Ashraf, Shabbir Hussain, Farrah Ashraf, Ali Akgül, Sayed M. El Din   +4 more
doaj   +1 more source

Inverse scattering method and vector higher order nonlinear Schrodinger equation

, 1999
A generalised inverse scattering method has been developed for arbitrary n dimensional Lax equations. Subsequently, the method has been used to obtain N soliton solutions of a vector higher order nonlinear Schrodinger equation, proposed by us.
Bonora, Bonora, Di Francesco, Dodd, Gedalin, Gelfand, Ghosh, Gordon, Hasewaga, Hietarinta, Hietarinta, Hirota, Hirota, Johnson, Kaup, Kodama, Kruskal, Kundu, Lakshmanan, Manakov, Marchenko, Marshakov, Miura, Mollenauer, Porsezian, Sasa, Sasanka Ghosh, Scott, Sudipta Nandy, Whitham, Yajima, Zakharov   +31 more
core   +1 more source

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

Molecular 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, Daniel Samaga, Katharina Gehr, Benedek Dankó, Mohamed Schumann, Guido Drexler, Ahmed Alnatsha, Georg Beyer, Ujjwal Mahajan, Martin Selmansberger, Julia Mayerle, Claus Belka, Horst Zitzelsberger, Kirsten Lauber   +13 more
wiley   +1 more source

Analytical approximate solutions to the nonlinear Fornberg–Whitham type equations via modified variational iteration method

Partial Differential Equations in Applied Mathematics
In this paper, we utilize the modified variational iteration method introduced by Abassy et al. for obtaining the analytical approximate solutions of the nonlinear Fornberg–Whitham equation and modified nonlinear Fornberg–Whitham equation.
Md. Asaduzzaman, Faruk Özger, Adem Kilicman   +2 more
doaj   +1 more source

C2α‐carbanion‐protonating glutamate discloses tradeoffs between substrate accommodation and reaction rate in actinobacterial 2‐hydroxyacyl‐CoA lyase

FEBS Open Bio, EarlyView.
Enzymes of the 2‐hydroxyacyl‐CoA lyase group catalyze the condensation of formyl‐CoA with aldehydes or ketones. Thus, by structural adaptation of active sites, practically any pharmaceutically and industrially important 2‐hydroxyacid could be biotechnologically synthesized. Combining crystal structure analysis, active site mutations and kinetic assays,
Michael Zahn, Barbara Seroka, Ryszard Lazny, Zenon Lotowski, Thore Rohwerder   +4 more
wiley   +1 more source

Efficient two-step with memory methods and their dynamics. [PDF]

Mathematics and Computational Sciences
In this work,a fourth-order without-memory method is proposed that has a self-accelerator parameter.This method doesn’t need to compute a derivative function forsolving nonlinear equations.We have approximated the self-accelerator parameter andhave ...
Vali Torkashvand
doaj   +1 more source

Establishing an assay to evaluate d‐amino acid oxidase enzyme kinetics and inhibition using WST‐8 redox dye

FEBS Open Bio, EarlyView.
This study investigated a novel WST‐8‐based assay for evaluating d‐Amino acid oxidase (DAO) inhibitors. We confirmed its effectiveness using known inhibitors and found that uremic toxins possess relatively weak inhibitory activity compared to existing drugs.
Kahoko Miyake, Yuki Enoki, Yuka Nakazawa, Kazuaki Taguchi, Kazuaki Matsumoto   +4 more
wiley   +1 more source