Results 1 to 10 of about 159 (52)

Decreased expression of SLC 39A14 is associated with tumor aggressiveness and biochemical recurrence of human prostate cancer. [PDF]

open access: yesOnco Targets Ther, 2016
Solute carrier family 39, member 14 (SLC39A14), has been identified as a potential biomarker for various cancers. However, its roles in prostate cancer (PCa) are still unclear. The aim of this study was to investigate the clinical significance of SLC39A14 in patients with PCa and its functions in malignant phenotypes of PCa cells.Subcellular ...
Xu XM   +6 more
europepmc   +5 more sources

Study of exact analytical solutions and various wave profiles of a new extended (2+1)-dimensional Boussinesq equation using symmetry analysis

open access: yesJournal of Ocean Engineering and Science, 2022
This paper systematically investigates the exact solutions to an extended (2+1)-dimensional Boussinesq equation, which arises in several physical applications, including the propagation of shallow-water waves, with the help of the Lie symmetry analysis ...
Sachin Kumar, Setu Rani
doaj   +1 more source

Specific wave profiles and closed-form soliton solutions for generalized nonlinear wave equation in (3+1)-dimensions with gas bubbles in hydrodynamics and fluids

open access: yesJournal of Ocean Engineering and Science, 2023
Nonlinear evolution equations (NLEEs) are frequently employed to determine the fundamental principles of natural phenomena. Nonlinear equations are studied extensively in nonlinear sciences, ocean physics, fluid dynamics, plasma physics, scientific ...
Sachin Kumar   +2 more
doaj   +1 more source

On the existence of multiple solutions for a partial discrete Dirichlet boundary value problem with mean curvature operator

open access: yesAdvances in Nonlinear Analysis, 2021
Apartial discrete Dirichlet boundary value problem involving mean curvature operator is concerned in this paper. Under proper assumptions on the nonlinear term, we obtain some feasible conditions on the existence of multiple solutions by the method of ...
Du Sijia, Zhou Zhan
doaj   +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

Abundant analytical soliton solutions and different wave profiles to the Kudryashov-Sinelshchikov equation in mathematical physics

open access: yesJournal of Ocean Engineering and Science, 2022
The generalized exponential rational function (GERF) method is used in this work to obtain analytic wave solutions to the Kudryashov-Sinelshchikov (KS) equation.
Sachin Kumar   +2 more
doaj   +1 more source

Central and local limit theorems for the weighted Delannoy numbers

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
In this research we generalize our result for numbers satisfying the Delannoy triangle. We obtain a central limit theorem and a local limit theorem for weighted numbers of the triangle and establish the rate of convergence to the limiting (normal ...
Belovas Igoris
doaj   +1 more source

Non-commutative rational Yang-Baxter maps [PDF]

open access: yes, 2013
Starting from multidimensional consistency of non-commutative lattice modified Gel'fand-Dikii systems we present the corresponding solutions of the functional (set-theoretic) Yang-Baxter equation, which are non-commutative versions of the maps arising ...
Doliwa, Adam
core   +2 more sources

On the construction of partial difference schemes II: discrete variables and Schwarzian lattices [PDF]

open access: yes, 2016
In the process of constructing invariant difference schemes which approximate partial differential equations we write down a procedure for discretizing an arbitrary partial differential equation on an arbitrary lattice.
Levi, Decio, Rodriguez, Miguel A.
core   +5 more sources

A discrete linearizability test based on multiscale analysis [PDF]

open access: yes, 2010
In this paper we consider the classification of dispersive linearizable partial difference equations defined on a quad-graph by the multiple scale reduction around their harmonic solution.
Agrotis M   +22 more
core   +2 more sources

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