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Topic: KdV equation

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	Timeline of mathematics - Wikipedia, the free encyclopedia
		600s - Brahmagupta invents the method of solving indeterminate equations of the second degree and is the first to use algebra to solve astronomical problems.
		He also develops methods for calculations of the motions and places of various planets, their rising and setting, conjunctions, and the calculation of eclipses of the sun and the moon
		First mathematician to work on the details of 'Arithmetic and Algebra of inheritance' besides the systematisation of the theory of linear and quadratic equations.
	en.wikipedia.org /wiki/Timeline_of_mathematics (4445 words)

	Bernard Deconinck's Publications
		Dynamics and Stability of Bose-Einstein Condensates: the Nonlinear Schrodinger Equation with Periodic Potential (with Bela A. Frigyik and J. Nathan Kutz) (J. Nonlinear Sci 12, pp 169-205, 2002).pdf.
		Stability of exact solutions of the defocusing nonlinear Schrodinger equation with periodic potential in two dimensions (with Bela A. Frigyik and J. Nathan Kutz) (Physics Letters A 283, 2001, pp 177-184).pdf.
		The KP equation with quasiperiodic initial data (with Harvey Segur) (Physica D 123, 1998, pp 123-152).pdf.
	www.amath.washington.edu /~bernard/papers.html (784 words)

	Research Output: Department of Mathematics (Site not responding. Last check: 2007-10-22)
		D.L. Bennett and S.A. Gourley [2004] Asymptotic properties of a delay differential equation model for the interaction of glucose with plasma and interstitial insulin.
		Gottwald [2002] Stability and instability of solitary waves of the fifth-order KdV equation: a numerical framework Physica D 172, 190-216.
		Ashwin [1996] Semirotors in the Josephson junction equations, J. of Nonl.
	www.maths.surrey.ac.uk /research/research-output.php (6822 words)

	Mathematical Physics « Physics « Science
		Five Lectures on Soliton Equations - A self-contained review by Edward Frenkel of a new approach to soliton equations of KdV type.
		Differential Equations and Oscillations - Many problems in physics are described by differential equations.
		As a complete discussion of differential equations is beyond the scope of this chapter we will deal only with linear first and second order ordinary differential equations.
	www.directorylistings.info /Science/Physics/Mathematical_Physics (913 words)

	PlanetMath:
		Karp reduction (in Cook reduction) owned by Henry
		KdV equation (=Korteweg - de Vries equation) owned by rspuzio
		Korteweg - de Vries equation owned by rspuzio
	planetmath.org /encyclopedia/K (355 words)

	Learn more about Timeline of mathematics in the online encyclopedia. (Site not responding. Last check: 2007-10-22)
		Invented the second and third degree of quadratic equations.
		1824 - Niels Henrik Abel partially proves that the general quintic or higher equations cannot be solved by a general formula involving only arithmetical operations and roots,
		1908 - Josip Plemelj solves the Riemman problem about the existence of a differential equation with a given monodromic group and uses Sokhotsky - Plemelj formulae,
	www.onlineencyclopedia.org /t/ti/timeline_of_mathematics.html (2634 words)

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