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Calogero–Degasperis–Fokas Equation
In mathematics, the Calogero–Degasperis–Fokas equation is the nonlinear partial differential equation :\displaystyle u_t=u_-\fracu_x^3 + u_x\left(Ae^u+Be^\right). This equation was named after F. Calogero, A. Degasperis, and A. Fokas Athanassios Spyridon Fokas ( el, Αθανάσιος Σπυρίδων Φωκάς; born 30 June 1952) is a United States-based Greek people, Greek academic, educator and scientist, with degrees in Aeronautical Engineering and Medicine. Since 2002, .... See also * Boomeron equation * Zoomeron equation External links * Partial differential equations Integrable systems {{analysis-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Partial Differential Equation
In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a multivariable function. The function is often thought of as an "unknown" to be solved for, similarly to how is thought of as an unknown number to be solved for in an algebraic equation like . However, it is usually impossible to write down explicit formulas for solutions of partial differential equations. There is, correspondingly, a vast amount of modern mathematical and scientific research on methods to numerically approximate solutions of certain partial differential equations using computers. Partial differential equations also occupy a large sector of pure mathematical research, in which the usual questions are, broadly speaking, on the identification of general qualitative features of solutions of various partial differential equations, such as existence, uniqueness, regularity, and stability. Among the many open questions are the e ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
