Exact solutions of nonlinear diffusion-convection-reaction equation: A Lie symmetry analysis approach

Motlatsi Molati, Hideki Murakawa

Research output: Contribution to journalArticle

Abstract

We derive some exact solutions of a nonlinear diffusion-convection-reaction equation which models biological, chemical and physical phenomena. The Lie symmetry classification approach is employed to specify the model parameters and then the symmetries of resulting submodels are utilized for construction of exact solutions.

LanguageEnglish
Pages253-263
Number of pages11
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume67
DOIs
Publication statusPublished - Feb 1 2019

Fingerprint

Lie Symmetry
Nonlinear Diffusion
Convection
Exact Solution
Biological Models
Symmetry
Model

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modelling and Simulation
  • Applied Mathematics

Cite this

@article{8b9d17a72cda47b8946d8b7bc92d515f,
title = "Exact solutions of nonlinear diffusion-convection-reaction equation: A Lie symmetry analysis approach",
abstract = "We derive some exact solutions of a nonlinear diffusion-convection-reaction equation which models biological, chemical and physical phenomena. The Lie symmetry classification approach is employed to specify the model parameters and then the symmetries of resulting submodels are utilized for construction of exact solutions.",
author = "Motlatsi Molati and Hideki Murakawa",
year = "2019",
month = "2",
day = "1",
doi = "10.1016/j.cnsns.2018.06.024",
language = "English",
volume = "67",
pages = "253--263",
journal = "Communications in Nonlinear Science and Numerical Simulation",
issn = "1007-5704",
publisher = "Elsevier",

}

TY - JOUR

T1 - Exact solutions of nonlinear diffusion-convection-reaction equation

T2 - Communications in Nonlinear Science and Numerical Simulation

AU - Molati, Motlatsi

AU - Murakawa, Hideki

PY - 2019/2/1

Y1 - 2019/2/1

N2 - We derive some exact solutions of a nonlinear diffusion-convection-reaction equation which models biological, chemical and physical phenomena. The Lie symmetry classification approach is employed to specify the model parameters and then the symmetries of resulting submodels are utilized for construction of exact solutions.

AB - We derive some exact solutions of a nonlinear diffusion-convection-reaction equation which models biological, chemical and physical phenomena. The Lie symmetry classification approach is employed to specify the model parameters and then the symmetries of resulting submodels are utilized for construction of exact solutions.

UR - http://www.scopus.com/inward/record.url?scp=85051642552&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85051642552&partnerID=8YFLogxK

U2 - 10.1016/j.cnsns.2018.06.024

DO - 10.1016/j.cnsns.2018.06.024

M3 - Article

VL - 67

SP - 253

EP - 263

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

SN - 1007-5704

ER -