Some new exact solutions of -dimensional Burgers system via Lie symmetry analysis

E Alimirzaluo, M Nadjafikhah, J Manafian - Advances in Difference …, 2021 - Springer
In this paper, by using the Lie symmetry analysis, all of the geometric vector fields of the (3+
1) (3+1)-Burgers system are obtained. We find the 1, 2, and 3-dimensional optimal system of …

Lie Symmetry Analysis of Kudryashov‐Sinelshchikov Equation

M Nadjafikhah, V Shirvani-Sh - Mathematical Problems in …, 2011 - Wiley Online Library
The Lie symmetry method is performed for the fifth‐order nonlinear evolution Kudryashov‐
Sinelshchikov equation. We will find ones and two‐dimensional optimal systems of Lie …

Lie symmetries and conservation laws of the Hirota–Ramani equation

M Nadjafikhah, V Shirvani-Sh - Communications in Nonlinear Science and …, 2012 - Elsevier
In this paper, Lie symmetry method is performed for the Hirota–Ramani (H–R) equation. We
will find the symmetry group and optimal systems of Lie subalgebras. Furthermore …

Conservation laws for self-adjoint first-order evolution equation

IL Freire - Journal of Nonlinear Mathematical Physics, 2011 - Taylor & Francis
We consider the problem on group classification and conservation laws for first-order
evolution equations. Subclasses of these general equations which are quasi-self-adjoint …

[HTML][HTML] New conservation laws for inviscid Burgers equation

IL Freire - Computational & Applied Mathematics, 2012 - SciELO Brasil
SciELO - Brasil - New conservation laws for inviscid Burgers equation New conservation laws
for inviscid Burgers equation Acessibilidade / Reportar erro Brasil Lista alfabética de periódicos …

Some exact solutions of KdV-Burgers-Kuramoto equation

E Alimirzaluo, M Nadjafikhah - Journal of Physics …, 2019 - iopscience.iop.org
Some exact solutions of KdV-Burgers-Kuramoto (KBK) equation are derived by the anzas
and tanh methods. Also, the most general Lie point symmetry group of the KBK equation are …

[PDF][PDF] Conservation laws and invariant solutions of time-dependent Calogero-Bogoyavlenskii-Schiff equation

Y AryaNejad, R Mirzavand - Journal of Linear and Topological …, 2022 - journals.iau.ir
This paper uses the classical Lie method to determine symmetry reductions and exact
solutions of the time-dependent Calogero-Bogoyavlenskii-Schiff equation (vCBS). This …

Conservation laws and exact solutions of the -dimensional Jimbo–Miwa equation

J Manafian, E Alimirzaluo, M Nadjafikhah - Advances in Difference …, 2021 - Springer
In this article, by using the Herman–Pole technique the conservation laws of the (3+ 1)−
(3+1)- Jimbo–Miwa equation are obtained, and then by using the Lie symmetry analysis all …

Classification of similarity solutions for inviscid burgers' equation

M Nadjafikhah - Advances in Applied Clifford Algebras, 2010 - Springer
Using the basic Lie symmetry method, we find the most general Lie point symmetries group
of the inviscid Burgers' equation. Looking at the adjoint representation of the obtained …

Discrete symmetries analysis and exact solutions of the inviscid Burgers equation

H Yang, Y Shi, B Yin, H Dong - Discrete Dynamics in Nature …, 2012 - Wiley Online Library
We discuss the Lie point symmetries and discrete symmetries of the inviscid Burgers
equation. By employing the Lie group method of infinitesimal transformations, symmetry …