Sentence examples for prototype of nonlinear from inspiring English sources

If, (1.7) is the prototype of nonlinear dynamic equations called Emden-Fowler neutral delay sublinear dynamic equation: (1.9).

It remained mysterious until 1965, when Kruskal and Zabusky showed that, after appropriate mathematical transformations, the system can be described by the Korteweg de Vries equation, which is the prototype of nonlinear partial differential equations that have soliton solutions.

The structures of GaAs/Ge/GaAs 001) crystals designed for prototypes of nonlinear optical devices were investigated by X-ray diffraction (XRD).

It is one of the prototype systems of nonlinear dynamics.

In the case of, (1.1) is the prototype of a wide class of nonlinear dynamic equations called Emden-Fowler superlinear dynamic equations, and if, then (1.1) is the prototype of dynamic equations called Emden-Fowler sublinear dynamic equations.

Equation (1.7) includes many other special important equations; for example, if, (1.7) is the prototype of a wide class of nonlinear dynamic equations called Emden-Fowler neutral delay superlinear dynamic equation: (1.8).

In this paper we deal with the Cauchy problem associated to a class of nonlinear degenerate parabolic equations, whose prototype is the parabolic p-Laplacian (2

Especially, some prototypes for the development of the basic theory of the global behavior of nonlinear difference equations of order greater than one come from the results of rational difference equations.

For a prototype nonlinear model of electroactive material, numerical results are given and discussed.

Beware of nonlinear moves in both.

Principles of Nonlinear Optics (Wiley-Interscience, 1984).