Category
page 1Integrable systems

soliton
thumb|250px|Solitary wave (water waves)|Solitary wave in a laboratory [[wave channel]]
Korteweg–De Vries equation
integrable partial differential equation of a function u(t,x): uₜ + uₓₓₓ = 6uuₓ
integrable system
property of certain dynamical systems
nonlinear Schrödinger equation
nonlinear variation of the Schrödinger equation
Liouville-Arnold theorem
Theorem of dynamical systems
Kadomtsev–Petviashvili equation
PDE to describe nonlinear wave motion
Ernst equation
mathematical equation used to find exact solutions of equations in the general theory of relativity
Toda lattice
simple model for a one-dimensional crystal in solid state physics
inverse scattering transform
method for solving some non-linear partial differential equations
Benjamin–Ono equation
superintegrable Hamiltonian system
Hitchin system
mathematical concept