:en:ıntegrable systems ne demek?

Integrable systems are a class of mathematical models used to describe complex phenomena that can be broken down into simpler components. They include systems in physics, such as the motion of planets in a gravitational field, as well as in finance, such as the behavior of stock prices.

Integrable systems are characterized by the fact that they can be solved exactly using techniques from calculus and algebra. They are also distinguished by the presence of conserved quantities, which are quantities that remain constant as the system evolves over time. These conserved quantities provide important insights into the properties of the system and can be used to make predictions about its behavior.

Several techniques have been developed for studying integrable systems, including the method of separation of variables, the inverse scattering method, and the theory of integrable hierarchies. These techniques have applications in various fields, including mathematical physics, differential geometry, and algebraic geometry.

In addition to their theoretical importance, integrable systems have practical applications in a range of fields, such as in the design of satellites and aircraft, the development of materials, and the optimization of computer algorithms.