Geodesic
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, Tome 11 (2011) no. 2, pp. 42-48

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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. 
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     author = {M. S. Abdel Latif},
     title = {Lie symmetry analysis and some new exact solutions for a~variable coefficient modified {Kortweg--de} {Vries} equation arising in arterial mechanics},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
     pages = {42--48},
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     url = {http://geodesic.mathdoc.fr/item/ISU_2011_11_2_a6/}
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M. S. Abdel Latif. 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, Tome 11 (2011) no. 2, pp. 42-48. http://geodesic.mathdoc.fr/item/ISU_2011_11_2_a6/