TY - JOUR
T1 - Exact solutions of nonlinear diffusion-convection-reaction equation
T2 - A Lie symmetry analysis approach
AU - Molati, Motlatsi
AU - Murakawa, Hideki
N1 - Funding Information:
The authors would like to thank Professor Kenji Tomoeda for providing his valuable knowledge and for fruitful discussions. MM acknowledges the Matsumae International Foundation for financial support [grant number 17G20] and the Faculty of Mathematics at Kyushu University for hosting him during the research fellowship. HM also acknowledges the support of JSPS KAKENHI [grant numbers 26287025, 15H03635, 17K05368]; and JST CREST [grant number JPMJCR14D3].
Publisher Copyright:
© 2018 Elsevier B.V.
PY - 2019/2
Y1 - 2019/2
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
AN - SCOPUS:85051642552
SN - 1007-5704
VL - 67
SP - 253
EP - 263
JO - Communications in Nonlinear Science and Numerical Simulation
JF - Communications in Nonlinear Science and Numerical Simulation
ER -