diffgrob2

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 51 articles )

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  1. Chang, Lina; Liu, Hanze; Xin, Xiangpeng: Invariant subspace classification and exact explicit solutions to a class of nonlinear wave equation (2020)
  2. Wu, Huiling; Song, Junfeng; Zhu, Quanyong: Nonlocal residual symmetries and exact interaction solutions for the generalized dispersive water waves system (2020)
  3. Chen, Junchao; Hu, Xueli; Zhu, Shundong: Rational solutions of the (2+1)-dimensional Kaup-Kupershmidt equation (2019)
  4. 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)
  5. Chaolu, Temuer; Bilige, Sudao: Applications of differential form Wu’s method to determine symmetries of (partial) differential equations (2018)
  6. Fakouri, Shahnaz; Rahmany, Sajjad; Basiri, Abdolali: A new algorithm for computing regular representations for radicals of parametric differential ideals (2018)
  7. Wongvanich, N.; Hann, C. E.; Sirisena, H. R.: Robust global identifiability theory using potentials -- application to compartmental models (2015)
  8. Chaolu, Temuer; Bluman, G.: An algorithmic method for showing existence of nontrivial non-classical symmetries of partial differential equations without solving determining equations (2014)
  9. Sabzevari, Masoud; Hashemi, Amir; M.-Alizadeh, Benyamin; Merker, Joël: Applications of differential algebra for computing Lie algebras of infinitesimal CR-automorphisms (2014)
  10. Meshkat, Nicolette; Anderson, Chris; DiStefano, Joseph J. III: Alternative to Ritt’s pseudodivision for finding the input-output equations of multi-output models (2012)
  11. Miao, Hongyu; Xia, Xiaohua; Perelson, Alan S.; Wu, Hulin: On identifiability of nonlinear ODE models and applications in viral dynamics (2011)
  12. Rocha Filho, Tarcísio M.; Figueiredo, Annibal: [SADE] a Maple package for the symmetry analysis of differential equations (2011)
  13. Bluman, G.; Broadbridge, P.; King, J. R.; Ward, M. J.: Similarity: Generalizations, applications and open problems (2010)
  14. Bluman, George W.; Cheviakov, Alexei; Anco, Stephen: Applications of symmetry methods to partial differential equations (2010)
  15. Chaolu, Temuer; Jing, Pang: An algorithm for the complete symmetry classification of differential equations based on Wu’s method (2010)
  16. Bruzón, M. S.; Gandarias, M. L.: Applying a new algorithm to derive nonclassical symmetries (2008)
  17. 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)
  18. Bîlă, Nicoleta; Mansfield, Elizabeth L.; Clarkson, Peter A.: Symmetry group analysis of the shallow water and semi-geostrophic equations (2006)
  19. Hydon, Peter E.: Introduction to symmetry methods in the solution of differential equations that occur in chemistry and chemical biology (2006)
  20. Lisle, I. G.; Reid, G. J.: Symmetry classification using noncommutative invariant differential operators (2006)

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