AUTHOR AND AFFILIATION |
S.M. KUMBHAR and SARITA THAKAR |
KEYWORDS: |
invariant vector fields, optimal system of Lie subalgebras. |
Issue Date: |
April 2013 |
Pages: |
|
ISSN: |
2319-8044 (Online) – 2231-346X (Print) |
Source: |
Vol.25 – No.1 |
Click Here Download PDF |
|
DOI: |
jusps-A |
ABSTRACT:
In this paper we determine optimal system for one-dimensional Burgers-like equation, Lie group analysis is used to obtain invariant vector fields of one-dimensional Burgers-like equation. These invariant vector fields forms the Lie algebra. Certain choice of invariant vector field defines the transformation to convert the equation into a solvable partial differential
equation. With help of adjoint representation table one-dimensional optimal system is obtained.
Copy the following to cite this Article:
S.M. KUMBHAR and SARITA THAKAR, “Analytical solution of Burgers-like equation”, Journal of Ultra Scientist of Physical Sciences, Volume 25, Issue 1, Page Number , 2016
Copy the following to cite this URL:
S.M. KUMBHAR and SARITA THAKAR, “Analytical solution of Burgers-like equation”, Journal of Ultra Scientist of Physical Sciences, Volume 25, Issue 1, Page Number , 2016
Available from: http://www.ultrascientist.org/paper/274/
In this paper we determine optimal system for one-dimensional Burgers-like equation, Lie group analysis is used to obtain invariant vector fields of one-dimensional Burgers-like equation. These invariant vector fields forms the Lie algebra. Certain choice of invariant vector field defines the transformation to convert the equation into a solvable partial differential
equation. With help of adjoint representation table one-dimensional optimal system is obtained.
