Results 61 to 70 of about 123,609 (284)
Nonlinear potential filtration equation and global actions of Lie symmetries
Electronic Journal of Differential Equations, 2009 The Lie point symmetries of the nonlinear potential filtration equation break into five cases. Contact symmetries provide another two cases. By restricting to a natural class of functions, we show that these symmetries exponentiate to a global action ...
Mark R. Sepanski
doaj
A Group Theory Approach towards Some Rational Difference Equations
Journal of Mathematics, 2019 A full Lie point symmetry analysis of rational difference equations is performed. Nontrivial symmetries are derived, and exact solutions using these symmetries are obtained.
Mensah Folly-Gbetoula +2 more
doaj +1 more source
Lie Symmetry Analysis for the General Classes of Generalized Modified Kuramoto-Sivashinsky Equation
Journal of Function Spaces, 2021 Lie symmetry analysis of differential equations proves to be a powerful tool to solve or at least reduce the order and nonlinearity of the equation.
Rong Qi +4 more
doaj +1 more source
Classical and Nonclassical symmetries of the (2+1)-dimensional Kuramoto-Sivashinsky equation
, 2011 In this paper, we have studied the problem of determining the largest possible set of symmetries for an important example of nonlinear dynamical system: the Kuramoto-Sivashinsky (K-S) model in two spatial and one temporal dimensions.
Ahangari, Fatemeh, Nadjafikhah, Mehdi
core +1 more source
Dimsym and LIE: Symmetry determination packages
Mathematical and Computer Modelling, 1997 The authors describe the features of two software packages named DIMSYM and LIE. While LIE is written in LISP and runs under DOS the DIMSYM package is written in REDUCE. Both packages are dealing with Lie symmetries of differential equations. The paper includes examples and lists commands of the packages giving explainations of their functionality ...
Sherring, J., Head, A. K., Prince, G. E.
openaire +2 more sources
Lie Symmetry Analysis of Kudryashov‐Sinelshchikov Equation [PDF]
Mathematical Problems in Engineering, 2011 The Lie symmetry method is performed for the fifth‐order nonlinear evolution Kudryashov‐Sinelshchikov equation. We will find ones and two‐dimensional optimal systems of Lie subalgebras. Furthermore, preliminary classification of its group‐invariant solutions is investigated.
Nadjafikhah, Mehdi, Shirvani-Sh, Vahid
openaire +1 more source
Planar Solid‐State Nanopores Toward Scalable Nanofluidic Integration Based on CMOS Technology
Advanced Engineering Materials, EarlyView.We present a scalable silicon‐based fabrication strategy for planar solid‐state nanopores to enable their integration with complex nanofluidic systems. Prototype devices demonstrate normal voltage‐current characteristics, good noise performance, and appreciable streaming currents. Our CMOS‐compatible fabrication process offers precise geometric control
Ngan Hoang Pham +7 more
wiley +1 more source
Quasi-continuous symmetries of non-lie type [PDF]
Foundations of Physics, 1997 18 pages, LateX, 3 figures, Submitted Found.
Ludu, Andrei, Greiner, Walter
openaire +3 more sources
Advanced Engineering Materials, EarlyView.A combined finite element and phase‐field approach predicts the evolution of microstructure during the directional solidification of Ni‐based superalloys. The model reveals how withdrawal rate, temperature gradient, and wall thickness control the dendrite spacing, highlighting the strong effect of surface regions in thin sections where dendrite growth ...
Sean Böhm +3 more
wiley +1 more source
Gravitating fluids with Lie symmetries
, 2010 We analyse the underlying nonlinear partial differential equation which arises in the study of gravitating flat fluid plates of embedding class one. Our interest in this equation lies in discussing new solutions that can be found by means of Lie point ...
A M Msomi +9 more
core +1 more source