Lie reductions and exact solutions of dispersionless Nizhnik equation

Author:

Vinnichenko Oleksandra O.,Boyko Vyacheslav M.,Popovych Roman O.

Funder

Simons Foundation

Ministry of Education, Youth and Sports of the Czech Republic

Publisher

Springer Science and Business Media LLC

Reference65 articles.

1. Abraham-Shrauner, B., Govinder, K.S., Arrigo, D.J.: Type-II hidden symmetries of the linear 2D and 3D wave equations. J. Phys. A 39, 5739–5747 (2006)

2. Abraham-Shrauner, B., Govinder, K.S.: Provenance of type II hidden symmetries from nonlinear partial differential equations. J. Nonlinear Math. Phys. 13, 612–622 (2006)

3. Aksenov, A.V., Baikov, V.A., Chugunov, V.A., Gazizov, R.K., Meshkov, A.G.: CRC Handbook of Lie Group Analysis of Differential Equations. Vol. 2. Applications in Engineering and Physical Sciences. CRC Press, Boca Raton (1995)

4. Ames, W.F., Anderson, R.L., Dorodnitsyn, V.A., Ferapontov, E.V., Gazizov, R.K., Ibragimov, N.H., Svirshchevskii, S.R.: CRC Handbook of Lie Group Analysis of Differential Equations. Vol. 1. Symmetries, Exact Solutions and Conservation Laws. CRC Press, Boca Raton (1994)

5. Anco, S.C., Bluman, G.: Direct construction method for conservation laws of partial differential equations. I. Examples of conservation law classifications. European J. Appl. Math. 13, 545–566 (2002). arXiv:math-ph/0108023

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