"Jauge." . . "Symétrie (Mathématiques)" . . "Mathematics." . . "Équations différentielles non linéaires." . . "Physique mathématique." . . "Équation différentielle non linéaire." . . "Nichtlineare algebraische Gleichung." . . "Equation Schrödinger." . . "Differential equations, Partial." . . "Théories non linéaires." . . "Réseau Toda." . . "Equation non linéaire." . . "Equation Navier-Stokes." . . "Mathematical physics." . . "Differential equations, Nonlinear." . . "Solution périodique." . . "Equation Landau-Ginzburg." . . "Bifurcation." . . "Lemme branchement." . . "Symmetry." . . "Equation évolution." . . "Differential equations." . . "Simetria." . . "Symétrie." . . . . "Teorie nieliniowe." . . "Equation Fokker-Planck." . . "Symmetrie." . . "Equation Yang-Mills." . . "Système dynamique." . . "Równania różniczkowe nieliniowe." . . "Springer Science+Business Media." . . . . . . . . . . . . . . . . . . . . . . . . "This book serves as an introduction to the use of nonlinear symmetries in studying, simplifying and solving nonlinear equations. Part I provides a self-contained introduction to the theory. This emphasizes an intuitive understanding of jet spaces and the geometry of differential equations, and a special treatment of evolution problems and dynamical systems, including original results. In Part II the theory is applied to equivariant dynamics, to bifurcation theory and to gauge symmetries, reporting recent results by the author. In particular, the fundamental results of equivariant bifurcation theory are extended to the case of nonlinear symmetries. The final part of the book gives an overview of new developments, including a number of applications, mainly in the physical sciences. An extensive and up-to-date list of references dealing with nonlinear symmetries completes the volume. This volume will be of interest to researchers in mathematics and mathematical physics." . . . . . . . . . . . . . . . . . . . . . . . "Nonlinear Symmetries and Nonlinear Equations" . . . . "Nonlinear symmetries and nonlinear equations" . "Nonlinear symmetries and nonlinear equations"@en . "Electronic books" . . . . . . . . . . . . . . . . . . . . . . . . . . . . "Symetria (fizyka)." . . "Symetria (fizyka)" . "Bifurcation, Théorie de la." . . "Symétrie non linéaire." . . "Nichtlineare Differentialgleichung." . . "Théorie non linéaire." . . "Ecuaciones diferenciales no lineales." . . "Nonlinear theories." . . "Problème variationnel." . . "Fizyka matematyczna." . . "Equation Einstein." . .