diffgrob2 is a MAPLE package to simplify overdetermined systems of nonlinear differential equations of polynomial type. The algorithms are based on those by Buchberger for a Gröbner basis of a polynomial ideal. This package is no longer being maintained and is not at present available for public use. Packages which perform related functions are Maple’s diffalg package maintained by Evelyne Hubert, and the Maple package rif which is available from Allan Wittkopf’s home page.

References in zbMATH (referenced in 44 articles )

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  1. Xin, Xiangpeng; Zhang, Linlin; Xia, Yarong; Liu, Hanze: Nonlocal symmetries and exact solutions of the ((2+1))-dimensional generalized variable coefficient shallow water wave equation (2019)
  2. Wongvanich, N.; Hann, C. E.; Sirisena, H. R.: Robust global identifiability theory using potentials -- application to compartmental models (2015)
  3. Chaolu, Temuer; Bluman, G.: An algorithmic method for showing existence of nontrivial non-classical symmetries of partial differential equations without solving determining equations (2014)
  4. Sabzevari, Masoud; Hashemi, Amir; M.-Alizadeh, Benyamin; Merker, Joël: Applications of differential algebra for computing Lie algebras of infinitesimal CR-automorphisms (2014)
  5. Meshkat, Nicolette; Anderson, Chris; DiStefano, Joseph J. III: Alternative to Ritt’s pseudodivision for finding the input-output equations of multi-output models (2012)
  6. Miao, Hongyu; Xia, Xiaohua; Perelson, Alan S.; Wu, Hulin: On identifiability of nonlinear ODE models and applications in viral dynamics (2011)
  7. Rocha Filho, Tarcísio M.; Figueiredo, Annibal: [SADE] a Maple package for the symmetry analysis of differential equations (2011)
  8. Bluman, G.; Broadbridge, P.; King, J. R.; Ward, M. J.: Similarity: Generalizations, applications and open problems (2010)
  9. Bluman, George W.; Cheviakov, Alexei; Anco, Stephen: Applications of symmetry methods to partial differential equations (2010)
  10. Chaolu, Temuer; Jing, Pang: An algorithm for the complete symmetry classification of differential equations based on Wu’s method (2010)
  11. Bruzón, M. S.; Gandarias, M. L.: Applying a new algorithm to derive nonclassical symmetries (2008)
  12. Zhang, Hai-Qiang; Meng, Xiang-Hua; Xu, Tao; Li, Li-Li; Tian, Bo: Interactions of bright solitons for the ((2+1))-dimensional coupled nonlinear Schrödinger equations from optical fibres with symbolic computation (2007)
  13. Bîlă, Nicoleta; Mansfield, Elizabeth L.; Clarkson, Peter A.: Symmetry group analysis of the shallow water and semi-geostrophic equations (2006)
  14. Hydon, Peter E.: Introduction to symmetry methods in the solution of differential equations that occur in chemistry and chemical biology (2006)
  15. Lisle, I. G.; Reid, G. J.: Symmetry classification using noncommutative invariant differential operators (2006)
  16. Bîlă, Nicoleta; Niesen, Jitse: On a new procedure for finding nonclassical symmetries (2005)
  17. Hubert, Evelyne: Differential algebra for derivations with nontrivial commutation rules (2005)
  18. Meleshko, S. V.: Methods for constructing exact solutions of partial differential equations. Mathematical and analytical techniques with applications to engineering (2005)
  19. Cheviakov, Alexei F.: Bogoyavlenskij symmetries of ideal MHD equilibria as Lie point transformations (2004)
  20. Alexeyev, Alexander A.: A multidimensional superposition principle: classical solitons. II (2003)

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