I don't know where to go from here-isn't this a still a nonlinear equation ? talk ) 01 : 27, 20 February 2011 ( UTC)
32.
"' Vasiliev Equations "'are consistent gauge invariant nonlinear equations whose linearization over a specific vacuum solution describes free massless higher-spin fields on anti-de Sitter space.
33.
It is often possible to find several very specific solutions to nonlinear equations, however the lack of a superposition principle prevents the construction of new solutions.
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In 1974 he was an Invited Lecturer ( on " Semigroups of nonlinear equations and evolution equations " ) at the International Congress of Mathematicians in Vancouver.
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In this way, the original nonlinear equation is transferred into an infinite number of linear ones, but without the assumption of any small / large physical parameters.
36.
Root-finding algorithms are used to solve nonlinear equations ( they are so named since a root of a function is an argument for which the function yields zero ).
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Afterwards, a representation of the form ( ) was found for many other physically interesting nonlinear equations, like the Kadomtsev Petviashvili equation, sine-Gordon equation, nonlinear Schr�dinger equation and others.
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One book that I'd add is Dennis and Schnabel, " Numerical Methods for Unconstrained Optimization and Nonlinear Equations " ( ISBN 0136272169 ), which is also fairly old though.
39.
Computational solution tools include for example software for carrying out various matrix operations ( e . g . matrix inversion ) and for solving systems of linear and nonlinear equations.
40.
Second and higher order ordinary differential equations ( more generally, systems of nonlinear equations ) rarely yield closed form solutions, though implicit solutions and solutions involving nonelementary integrals are encountered.
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