Beta-derivative and sub-equation method applied to the optical solitons in medium with parabolic law nonlinearity and higher order dispersion
By using the sub-equation method, we construct the analytical solutions of the space-time
generalized nonlinear Schrödinger equation involving the beta-derivative. This equation …
generalized nonlinear Schrödinger equation involving the beta-derivative. This equation …
Approximate solutions of aggregation and breakage population balance equations
The work aims to present a semi-analytical approach based on the homotopy analysis
method for finding closed-form solutions and approximate solutions to aggregation and …
method for finding closed-form solutions and approximate solutions to aggregation and …
[HTML][HTML] Towards a theoretical understanding of dustiness
While there are plenty of experimental studies pertaining to the dust generation from and
dustiness of powders, few of them aim at reaching a theoretical understanding of the …
dustiness of powders, few of them aim at reaching a theoretical understanding of the …
Estimation Of Parameters And Selection Of Models Applied To Population Balance Dynamics Via Approximate Bayesian Computational
CH Moura, BM Viegas, M Tavares… - Journal of Heat and …, 2022 - jhmtr.semnan.ac.ir
Population balance models mathematically describe the particle size distribution based on
modeling physical phenomena that influence the distribution, such as aggregation, growth …
modeling physical phenomena that influence the distribution, such as aggregation, growth …
Monitoring of batch industrial crystallization with growth, nucleation, and agglomeration. Part 1: Modeling with method of characteristics
M Porru, L Özkan - Industrial & Engineering Chemistry Research, 2017 - ACS Publications
This paper develops a new simulation model for crystal size distribution dynamics in
industrial batch crystallization. The work is motivated by the necessity of accurate prediction …
industrial batch crystallization. The work is motivated by the necessity of accurate prediction …
Preliminary group classification and exact solutions of Smoluchowski equation with a source
F Lin, Y Yang, X Yang, Q Zhang - Journal of Computational and Applied …, 2024 - Elsevier
Population balance equations are essential to scientists and engineers of widely varying
discipline, applications have covered a wide range of processes involving bioreactors …
discipline, applications have covered a wide range of processes involving bioreactors …
Population balances involving aggregation and breakage through homotopy approaches
Homotopy techniques in nonlinear problems are getting increasingly popular in engineering
practice. The main reason is because the homotopy method deforms continuously a difficult …
practice. The main reason is because the homotopy method deforms continuously a difficult …
The quadratically cubic Burgers equation: an exactly solvable nonlinear model for shocks, pulses and periodic waves
OV Rudenko, CM Hedberg - Nonlinear Dynamics, 2016 - Springer
A modified equation of Burgers type with a quadratically cubic (QC) nonlinear term was
recently pointed out as a new exactly solvable model of mathematical physics. However, its …
recently pointed out as a new exactly solvable model of mathematical physics. However, its …
Analytical soliton solutions for the beta fractional derivative Gross–Pitaevskii system with linear magnetic and time dependent laser interactions
H Yépez-Martínez, RT Alqahtani - Physica Scripta, 2024 - iopscience.iop.org
The local conformable beta Atangana derivative will be considered for the introduction of the
fractional Gross–Pitaevskii model with conformable derivatives of beta type. Analytical …
fractional Gross–Pitaevskii model with conformable derivatives of beta type. Analytical …
Exact Solutions of Population Balance Equation with Aggregation, Nucleation, Growth and Breakage Processes, Using Scaling Group Analysis
F Lin, Y Yang, X Yang - Symmetry, 2024 - mdpi.com
Population balance equations may be employed to handle a wide variety of particle
processes has certainly received unprecedented attention, but the absence of explicit exact …
processes has certainly received unprecedented attention, but the absence of explicit exact …