Results 51 to 60 of about 23,641,221 (298)

LIE SYMMETRY ANALYSIS TO FISHER'S EQUATION WITH TIME FRACTIONAL ORDER

Journal of Applied Analysis & Computation, 2020
Summary: The aim of this letter is to apply the Lie group analysis method to the Fisher's equation with time fractional order. We considered the symmetry analysis, explicit solutions to the time fractional Fisher's(TFF) equations with Riemann-Liouville (R-L) derivative.
Wang, Zhenli, Zhang, Lihua, Liu, Hanze
openaire   +1 more source

Lie symmetry analysis and similarity solutions for the Jimbo – Miwa equation and generalisations [PDF]

International Journal of Nonlinear Sciences and Numerical Simulation, 2020
Abstract We study the Jimbo – Miwa equation and two of its extended forms, as proposed by Wazwaz et al., using Lie’s group approach. Interestingly, the travelling – wave solutions for all the three equations are similar. Moreover, we obtain certain new reductions which are completely different for each of the three equations.
Amlan K. Halder, Andronikos Paliathanasis, Rajeswari Seshadri, Peter G. L. Leach   +3 more
openaire   +2 more sources

Gap Solitons in Fiber Bragg Gratings Having Polynomial Law of Nonlinear Refractive Index and Cubic–Quartic Dispersive Reflectivity by Lie Symmetry [PDF]

, 2023
The current paper recovers cubic–quartic optical solitons in fiber Bragg gratings having polynomial law of nonlinear refractive index structures. Lie symmetry analysis is carried out, starting with the basic analysis.
Sachin Kumar, Malik, Sandeep, Kumar, Sachin, Alotaibi, Abdulaziz, Bibicu, Dorin, Dorin Bibicu, Yakup Yıldırım, Seithuti P. Moshokoa, Abdulaziz Alotaibi, Anjan Biswas, Sandeep Malik, Simona Moldovanu, Biswas, Anjan, Moldovanu, Simona, Catalina Iticescu, Luminita Moraru, Yıldırım, Yakup, Moshokoa, Seithuti P., Moraru, Luminita, Iticescu, Catalina   +19 more
core   +1 more source

The heterodimeric amino acid transporters (HAT) of the SLC7/SLC3 family: A structure−function relationships and relevance to human pathology

FEBS Letters, EarlyView.
Heterodimeric amino acid transporters consist of SLC7 and SLC3 family proteins arranged in a conserved structural organization. They regulate nutrient transport across cell membranes, supporting essential cellular functions. These transporters also contribute to xenobiotic/drug uptake and distribution.
Mariafrancesca Scalise, Tiziano Mazza, Raffaella Scanga, Lara Console, Michele Galluccio, Cesare Indiveri   +5 more
wiley   +1 more source

Soft motions encoded by the fold and mediated by conserved hinge sites drive V‐ATPase allosteric machinery and autoinhibition

FEBS Letters, EarlyView.
Vacuolar H+‐ATPase (V‐ATPase) is a multisubunit rotary proton pump that acidifies intracellular compartments. Using elastic network models, we identified conserved hinge residues that govern its large‐scale functional motions. We show that intrinsically encoded ‘soft modes’ drive critical functional transitions, including rotary catalysis and ...
Diksha Parwana, Xiaowei Bogetti, Stuti Sharma, Ivet Bahar   +3 more
wiley   +1 more source

Symmetry Analysis and Exact Solutions to the Space-Dependent Coefficient PDEs in Finance

Abstract and Applied Analysis, 2013
The variable-coefficients partial differential equations (vc-PDEs) in finance are investigated by Lie symmetry analysis and the generalized power series method. All of the geometric vector fields of the equations are obtained; the symmetry reductions and
Hanze Liu
doaj   +1 more source

UiO‐66 metal–organic frameworks in biomedicine: From structural tunability to bioimaging, photodiagnostics, and photodynamic cancer therapy

FEBS Open Bio, EarlyView.
UiO‐66(Zr) metal–organic frameworks are chemically stable, biocompatible, and highly tunable nanomaterials. Their modular structure enables controlled drug delivery, multimodal bioimaging, and light‐activated photodynamic therapy, supporting integrated diagnostic and therapeutic (theranostic) applications in cancer and biomedical research.
Veronika Huntošová, Grigorii Rakhalskii, Miroslav Almáši   +2 more
wiley   +1 more source

Group Classification and Symmetry Reduction of a (1+1)-Dimensional Porous Medium Equation

AppliedMath
In this paper, we present Lie symmetry analysis of a generalized (1+1)-dimensional porous medium equation characterized by parameters m and d. Through group classification, we examine how these parameters influence the Lie symmetry structure of the ...
Polokwane Charles Makibelo, Winter Sinkala, Lazarus Rundora   +2 more
doaj   +1 more source

A (2+1)-dimensional Kadomtsev–Petviashvili equation with competing dispersion effect: Painlevé analysis, dynamical behavior and invariant solutions

Results in Physics, 2021
In this paper, we concern ourselves with the nonlinear Kadomtsev–Petviashvili equation (KP) with a competing dispersion effect. First we examine the integrability of governing equation via using the Painlevé analysis.
Sandeep Malik, Hassan Almusawa, Sachin Kumar, Abdul-Majid Wazwaz, M.S. Osman   +4 more
doaj   +1 more source

Optical quasi-solitons by Lie symmetry analysis

Journal of King Saud University - Science, 2012
AbstractThis paper studies optical quasi-solitons by the aid of Lie group analysis. Nine types of nonlinearities are considered here. They are Kerr law, power law, parabolic law, dual-power law, polynomial law, triple-power law, saturable law, exponential law and log law nonlinearity. A closed form solution is obtained in each case.
Biswas, Anjan, Khalique, Chaudry Masood
openaire   +1 more source