Results 31 to 40 of about 419,406 (294)

On N-wave type systems and their gauge equivalent

, 2002
The class of nonlinear evolution equations - gauge equivalent to the N-wave equations related to the simple Lie algebra g are derived and analyzed. They are written in terms of the functions S(x,t) satisfying r= rank g nonlinear constraints.
Gerdjikov, Vladimir S., Grahovski, Georgi G., Kostov, Nikolay A.   +2 more
core   +1 more source

Kinetic equation for a dense soliton gas [PDF]

, 2005
We propose a general method to derive kinetic equations for dense soliton gases in physical systems described by integrable nonlinear wave equations.
A. M. Kamchatnov, A. C. Newell, A. C. Scott, G. A. El, G. B. Whitham, S. P. Novikov, V. E. Zakharov, V. E. Zakharov   +7 more
core   +3 more sources

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

Molecular 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, Rafael Lopes Goncalves, Marin Truchi, Caroline Lacoux, Célia Scribe, Hugo Cadis, Laetitia Guardini, Sophie Bekisz, Marius Ilié, Paul Hofman, Georges Vassaux, Bernard Mari, Roger Rezzonico   +12 more
wiley   +1 more source

Nonlinear evolution equations for degenerate transverse waves in anisotropic elastic solids

, 2008
Transverse elastic waves behave differently in nonlinear isotropic and anisotropic media. Quadratically nonlinear coupling in the evolution equations for wave amplitudes is not possible in isotropic solids, but such a coupling may occur for certain ...
Andrew N. Norris, Bengt Enflo, Claes M. Hedberg, Leif Kari, Włodzimierz Domański   +4 more
core   +1 more source

Nonlinear differential inequality [PDF]

, 2010
A nonlinear inequality is formulated in the paper. An estimate of the rate of growth/decay of solutions to this inequality is obtained. This inequality is of interest in a study of dynamical systems and nonlinear evolution equations. It can be applied to
Hoang, N. S., Ramm, A. G.
core   +8 more sources

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

The Nonlinear Schrödinger Equation Derived From the Fifth-Order Korteweg–de Vries Equation Using Multiple Scales Method

International Journal of Differential Equations
The mathematical models of problems that arise in many branches of science are nonlinear equations of evolution (NLEE). For this reason, NLEE have served as a language in formulating many engineering and scientific problems.
Murat Koparan
doaj   +1 more source

Nonpoint Symmetry and Reduction of Nonlinear Evolution and Wave Type Equations

Abstract and Applied Analysis, 2015
We study the symmetry reduction of nonlinear partial differential equations with two independent variables. We propose new ansätze reducing nonlinear evolution equations to system of ordinary differential equations.
Ivan Tsyfra, Tomasz Czyżycki
doaj   +1 more source

New dynamical soliton propagation of fractional type couple modified equal-width and Boussinesq equations

Alexandria Engineering Journal, 2022
The space–time fractional coupled modified equal-width equation and the coupled Boussinesq equation are a category of fractional partial differential equations, which might be crucial mathematical feathers in nonlinear optics, solid-state physics ...
M. Ayesha Khatun, Mohammad Asif Arefin, M. Zohurul Islam, M. Ali Akbar, M. Hafiz Uddin   +4 more
doaj   +1 more source

KdV-type equations linked via Baecklund transformations: remarks and perspectives

, 2018
Third order nonlinear evolution equations, that is the Korteweg-deVries (KdV), modified Korteweg-deVries (mKdV) equation and other ones are considered: they all are connected via Baecklund transformations.
Carillo, Sandra
core   +1 more source