Finding higher symmetries of differential equations using the MAPLE package DESOLVII. We present and describe, with illustrative examples, the MAPLE computer algebra package DESOLVII, which is a major upgrade of DESOLV. DESOLVII now includes new routines allowing the determination of higher symmetries (contact and Lie-Bäcklund) for systems of both ordinary and partial differential equations.

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  1. Jannelli, Alessandra; Ruggieri, Marianna; Speciale, Maria Paola: Numerical solutions of space-fractional advection-diffusion equations with nonlinear source term (2020)
  2. Lyakhov, Dmitry A.; Gerdt, Vladimir P.; Michels, Dominik L.: On the algorithmic linearizability of nonlinear ordinary differential equations (2020)
  3. Naz, Rehana; Naeem, Imran: Exact solutions of a Black-Scholes model with time-dependent parameters by utilizing potential symmetries (2020)
  4. Opanasenko, Stanislav; Bihlo, Alexander; Popovych, Roman O.; Sergyeyev, Artur: Extended symmetry analysis of an isothermal no-slip drift flux model (2020)
  5. Jannelli, Alessandra; Ruggieri, Marianna; Speciale, Maria Paola: Analytical and numerical solutions of time and space fractional advection-diffusion-reaction equation (2019)
  6. Kasatkin, Alexey A.; Gainetdinova, Aliya A.: Symbolic and numerical methods for searching symmetries of ordinary differential equations with a small parameter and reducing its order (2019)
  7. Li, Changzhao; Zhang, Juan: Lie symmetry analysis and exact solutions of generalized fractional Zakharov-Kuznetsov equations (2019)
  8. Peng, Linyu; Zhang, Zhenning: Statistical Einstein manifolds of exponential families with group-invariant potential functions (2019)
  9. Di Salvo, Rosa; Gorgone, Matteo; Oliveri, Francesco: A consistent approach to approximate Lie symmetries of differential equations (2018)
  10. Jannelli, Alessandra; Ruggieri, Marianna; Speciale, Maria Paola: Exact and numerical solutions of time-fractional advection-diffusion equation with a nonlinear source term by means of the Lie symmetries (2018)
  11. Sadeghi, H.; Oberlack, M.; Gauding, M.: On new scaling laws in a temporally evolving turbulent plane jet using Lie symmetry analysis and direct numerical simulation (2018)
  12. Ibragimov, R. N.; Lin, G.: Nonlinear analysis of perturbed rotating whirlpools in the Ocean and atmosphere (2017)
  13. Ozbenli, Ersin; Vedula, Prakash: High order accurate finite difference schemes based on symmetry preservation (2017)
  14. Zhang, Yufeng; Zhao, Zhonglong: Lie symmetry analysis, Lie-Bäcklund symmetries, explicit solutions, and conservation laws of Drinfeld-Sokolov-Wilson system (2017)
  15. Jefferson, G. F.; Carminati, J.: FracSym: automated symbolic computation of Lie symmetries of fractional differential equations (2014)
  16. Jefferson, G. F.; Carminati, J.: Associate symmetries: a novel procedure for finding contact symmetries (2014)
  17. Szatmari, Simon; Bihlo, Alexander: Symmetry analysis of a system of modified shallow-water equations (2014)
  18. Dos Santos Cardoso-Bihlo, Elsa; Popovych, Roman O.: Complete point symmetry group of the barotropic vorticity equation on a rotating sphere (2013)
  19. Ibragimov, Ranis; Jefferson, Grace; Carminati, John: Explicit invariant solutions associated with nonlinear atmospheric flows in a thin rotating spherical shell with and without west-to-east jets perturbations (2013)
  20. Jefferson, G. F.: On the second-order approximate symmetry classification and optimal systems of subalgebras for a forced Korteweg-de Vries equation (2013)

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