Exact solution of the time fractional variant Boussinesq-Burgers equations

Bibekananda Bira; Hemanta Mandal; Dia Zeidan

Applications of Mathematics (2021)

  • Volume: 66, Issue: 3, page 437-449
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Bira, Bibekananda, Mandal, Hemanta, and Zeidan, Dia. "Exact solution of the time fractional variant Boussinesq-Burgers equations." Applications of Mathematics 66.3 (2021): 437-449. <http://eudml.org/doc/297588>.

@article{Bira2021,
abstract = {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.},
author = {Bira, Bibekananda, Mandal, Hemanta, Zeidan, Dia},
journal = {Applications of Mathematics},
keywords = {fractional variant Boussinesq equation; symmetry analysis; exact solution},
language = {eng},
number = {3},
pages = {437-449},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Exact solution of the time fractional variant Boussinesq-Burgers equations},
url = {http://eudml.org/doc/297588},
volume = {66},
year = {2021},
}

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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 66
IS - 3
SP - 437
EP - 449
AB - 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.
LA - eng
KW - fractional variant Boussinesq equation; symmetry analysis; exact solution
UR - http://eudml.org/doc/297588
ER -

References

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