Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

For citation:

Abdel Latif M. S. Lie Symmetry Analysis and Some New Exact Solutions for a Variable Coefficient Modified Kortweg – De Vries Equation Arising in Arterial Mechanics. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2011, vol. 11, iss. 2, pp. 42-48. DOI: 10.18500/1816-9791-2011-11-2-42-48

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
25.04.2011
Full text:
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Language: 
Russian
Heading: 
Mechanics
UDC: 
517.957; 512.81
DOI: 
10.18500/1816-9791-2011-11-2-42-48

Lie Symmetry Analysis and Some New Exact Solutions for a Variable Coefficient Modified Kortweg – De Vries Equation Arising in Arterial Mechanics

Autors: 
Abdel Latif M. S., Astrakhan State University, Russia
Abstract: 

In this paper, a variable-coefficient modified Korteweg – de Vries equation is considered. By using the classical symmetry analysis method symmetries for this equation are obtained. Then, the generalized Jacobi elliptic function expansion method is used to solve the reduced ODE. Some new exact solutions for the considered PDE are obtained.

Key words: 
variable-coefficient modified Korteweg – de Vries equation
Classical Symmetries
Generalized Jacobi elliptic function expansion method
exact solutions
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