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List Of Integrable Models
This is a list of integrable models as well as classes of integrable models in physics. Integrable models in 1+1 dimensions In classical and quantum field theory: *free boson *free fermion * sine-Gordon model * Thirring model * sinh-Gordon model *Liouville field theory * Bullough–Dodd model *Dym equation *Calogero–Degasperis–Fokas equation *Camassa–Holm equation * Drinfeld–Sokolov–Wilson equation * Benjamin–Ono equation *SS model *sausage model * Toda field theories *O(''N'')-symmetric non-linear sigma models *Ernst equation * massless Schwinger model *supersymmetric sine-Gordon model *supersymmetric sinh-Gordon model * conformal minimal models *critical Ising model *tricritical Ising model *3-state Potts model *various perturbations of conformal minimal models *superconformal minimal models *Wess–Zumino–Witten model * Nonlinear Schroedinger equation * Korteweg–de Vries equation * modified Korteweg–de Vries equation *Gardner equation * Gibbons–Tsarev equ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Integrable Model
In mathematics, integrability is a property of certain dynamical systems. While there are several distinct formal definitions, informally speaking, an integrable system is a dynamical system with sufficiently many conserved quantities, or first integrals, that its motion is confined to a submanifold of much smaller dimensionality than that of its phase space. Three features are often referred to as characterizing integrable systems: * the existence of a ''maximal'' set of conserved quantities (the usual defining property of complete integrability) * the existence of algebraic invariants, having a basis in algebraic geometry (a property known sometimes as algebraic integrability) * the explicit determination of solutions in an explicit functional form (not an intrinsic property, but something often referred to as solvability) Integrable systems may be seen as very different in qualitative character from more ''generic'' dynamical systems, which are more typically chaotic systems ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |