Invariance of the nonlinear generalized NLS equation under the Lie group of scaling transformations

Author:

Zedan Hassan A.,Shapll Seham,Abdel-Malek Amira

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering

Reference13 articles.

1. Buckwar, E., Luchko, Y.: Invariance of a partial differential equation of fractional order under the lie group of scaling transformations. J. Math. Anal. Appl. 227, 81–97 (1998)

2. Ganjiani, M.: Solution of nonlinear fractional differential equations using homotopy analysis method. Appl. Math. Model. 34, 1634–1641 (2010)

3. Gazizov, R.K., Kasatkin, A.A., Lukashchuk, S.Y.: Fractional differential equations: change of variables and nonlocal symmetries. Ufim. Mat. Zh. 4, 54–68 (2012)

4. Gazizov, R.K., Kasatkin, A.A., Lukashchuk, S.Y.: Continuous transformation groups of fractional differential equations. Vestnik USATU 9 3(21), 125–135 (2007)

5. Gazizov, R.K., Kasatkin, A.A., Lukashchuk, SYu.: Symmetry properties of fractional diffusion equations. Phys. Scr. T136, 014016 (2009)

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