integrability

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in·te·gra·ble

(ĭn′tĭ-grə-bəl)

adj. Mathematics

Capable of undergoing integration or of being integrated.

in′te·gra·bil′i·ty n.

References in periodicals archive ?

The integrability condition of equations (1) is interpreted as a system of the following partial differential equations of hyperbolic type.

Examples of isometric immersions of [R.sup.2] into [R.sup.4] with vanishing normal curvature: Dedicated to the memory of Prof. Takashi OKAYASU

We previously showed that coherent memory determines the extent of system memory and the system proximity to the integrability limit ([[GAMMA].sub.c] [right arrow] [infinity]) [13, 14].

Transient Dynamics of Stimulated Raman Scattering in Gas-Filled Hollow-Core Photonic Crystal Fibers

Mara'beh, "On the linearization of second-order ordinary differential equations to the laguerre form via generalized Sundman transformations," Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), vol.

Linearization of Fifth-Order Ordinary Differential Equations by Generalized Sundman Transformations

Most studies apply the Hirota method to completely integrability nonlinear problems as in [10, 15-23].

Abundant Lump-Type Solutions and Interaction Solutions for a Nonlinear (3+1) Dimensional Model

The complete integrability of (1) was studied by Chowdhury et al.

Soliton Solutions of the Coupled Schrodinger-Boussinesq Equations for Kerr Law Nonlinearity

The integrability of various operators and the upper bound estimates for the norms of operators are very important and core topics while studying the [L.sup.p]-theory of differential forms and investigating the qualitative and quantitative properties of the solutions of partial differential equations.

The Higher Integrability of Commutators of Calderon-Zygmund Singular Integral Operators on Differential Forms

Llibre, "Weierstrass integrability in Lienard differential systems," Journal of Mathematical Analysis and Applications, vol.

Global Analysis of a Lienard System with Quadratic Damping

The first point means that solutions to various problems are found in terms of 1-forms and the integrability properties allow transformation of the solution back to the level of functions.

Global linearization approach to nonlinear control systems: a brief tutorial overview

In particular, the integrability of J (M is Hermitian) implies the first condition (3.5) and we have to take care of the second condition only.

A note on submanifolds of generalized Kahler manifolds

The Haantjes tensor and double waves for multi-dimensional systems of hydrodynamic type: a necessary condition for integrability. Proceedings of the Royal Society A, 462:1197-1219, 2006.

Uniformly Valid Asymptotics for Carrier's Mathematical Model of String Oscillations

Also, it has many qualities such as readability, universality, portability, integrability, and extensibility.