Geodesic
Exact solution of the time fractional variant Boussinesq-Burgers equations
Applications of Mathematics, Tome 66 (2021) no. 3, pp. 437-449

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

In the present article, we consider a nonlinear time fractional system of variant Boussinesq-Burgers equations. Using Lie group analysis, we derive the infinitesimal groups of transformations containing some arbitrary constants. Next, we obtain the system of optimal algebras for the symmetry group of transformations. Afterward, we consider one of the optimal algebras and construct similarity variables, which reduces the given system of fractional partial differential equations (FPDEs) to fractional ordinary differential equations (FODEs). Further, under the invariance condition we construct the exact solution and the physical significance of the solution is investigated graphically. Finally, we study the conservation law of the system of equations.
DOI : 10.21136/AM.2021.0269-19
Classification : 35D99, 35R11, 76M60
Keywords: fractional variant Boussinesq equation; symmetry analysis; exact solution 
@article{10_21136_AM_2021_0269_19,
     author = {Bira, Bibekananda and Mandal, Hemanta and Zeidan, Dia},
     title = {Exact solution of the time fractional variant {Boussinesq-Burgers} equations},
     journal = {Applications of Mathematics},
     pages = {437--449},
     publisher = {mathdoc},
     volume = {66},
     number = {3},
     year = {2021},
     doi = {10.21136/AM.2021.0269-19},
     mrnumber = {4263160},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.2021.0269-19/}
}
TY  - JOUR
AU  - Bira, Bibekananda
AU  - Mandal, Hemanta
AU  - Zeidan, Dia
TI  - Exact solution of the time fractional variant Boussinesq-Burgers equations
JO  - Applications of Mathematics
PY  - 2021
SP  - 437
EP  - 449
VL  - 66
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.2021.0269-19/
DO  - 10.21136/AM.2021.0269-19
LA  - en
ID  - 10_21136_AM_2021_0269_19
ER  - 
%0 Journal Article
%A Bira, Bibekananda
%A Mandal, Hemanta
%A Zeidan, Dia
%T Exact solution of the time fractional variant Boussinesq-Burgers equations
%J Applications of Mathematics
%D 2021
%P 437-449
%V 66
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.2021.0269-19/
%R 10.21136/AM.2021.0269-19
%G en
%F 10_21136_AM_2021_0269_19
Bira, Bibekananda; Mandal, Hemanta; Zeidan, Dia. Exact solution of the time fractional variant Boussinesq-Burgers equations. Applications of Mathematics, Tome 66 (2021) no. 3, pp. 437-449. doi: 10.21136/AM.2021.0269-19

Cité par Sources :