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KdV hierarchy

Index KdV hierarchy

In mathematics, the KdV hierarchy is an infinite sequence of partial differential equations which starts with the Korteweg–de Vries equation. [1]

11 relations: Analytic function, Bloch spectrum, Cambridge University Press, D'Alembert operator, Function (mathematics), Huygens–Fresnel principle, Korteweg–de Vries equation, Partial differential equation, Periodic function, Smoothness, Witten conjecture.

Analytic function

In mathematics, an analytic function is a function that is locally given by a convergent power series.

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Bloch spectrum

The Bloch spectrum is a concept in quantum mechanics in the field of theoretical physics; this concept addresses certain energy spectra considerations.

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Cambridge University Press

Cambridge University Press (CUP) is the publishing business of the University of Cambridge.

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D'Alembert operator

In special relativity, electromagnetism and wave theory, the d'Alembert operator (represented by a box: \Box), also called the d'Alembertian, wave operator, or box operator is the Laplace operator of Minkowski space.

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Function (mathematics)

In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.

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Huygens–Fresnel principle

The Huygens–Fresnel principle (named after Dutch physicist Christiaan Huygens and French physicist Augustin-Jean Fresnel) is a method of analysis applied to problems of wave propagation both in the far-field limit and in near-field diffraction.

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Korteweg–de Vries equation

In mathematics, the Korteweg–de Vries equation (KdV equation for short) is a mathematical model of waves on shallow water surfaces.

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Partial differential equation

In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives.

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Periodic function

In mathematics, a periodic function is a function that repeats its values in regular intervals or periods.

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Smoothness

In mathematical analysis, the smoothness of a function is a property measured by the number of derivatives it has that are continuous.

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Witten conjecture

In algebraic geometry, the Witten conjecture is a conjecture about intersection numbers of stable classes on the moduli space of curves, introduced by, and generalized in.

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KdV Hierarchy.

References

[1] https://en.wikipedia.org/wiki/KdV_hierarchy

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