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DYNAMIC BIFURCATION OF NONLINEAR EVOLUTION EQUATIONS

Chinese Annals of Mathematics, 2005
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Ma, Tian, Wang, Shouhong
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NONLINEAR EVOLUTION EQUATIONS AND THE PAINLEVÉ TEST

International Journal of Modern Physics A, 1992
A survey is given of new results of the Painlevé test and nonlinear evolution equations where ordinary- and partial-differential equations are considered. We study the semiclassical Jaynes-Cumming model, the energy-eigenvalue-level-motion equation, the Kadomtsev-Petviashvili equation, the nonlinear Klein-Gordon equation and the self-dual Yang-Mills ...
Steeb, W.-H., Euler, N.
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Dissipative Nonlinear Evolution Equations and Chaos

Studies in Applied Mathematics, 1998
In this article we have studied the nonlinear interaction between ellipticity and dissipation in a set of model equations (1.1) and established the relation between this interaction and chaos. In addition to theoretical investigations, extensive numerical simulations with these equations have been made, and different routes to chaos have been found ...
Hsieh, Dinyu   +3 more
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Abstract scattering for nonlinear evolution equations

Mathematical Systems Theory, 1974
Scattering for Nonlinear Evolution Equations by G. F.
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Nonlinear evolution equations andH theorems

Journal of Statistical Physics, 1984
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Alberti, Peter M., Crell, Bernd
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Regularization for a Class of Nonlinear Evolution Equations

SIAM Journal on Mathematical Analysis, 1986
The author considers a class of nonlinear parabolic equations of degenerate type, which includes the Stefan problem in enthalpy form. The degenerate function (the temperature in the classical Stefan case) is regularized and then some estimates of the error of this regularization are proved and discussed.
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Note on Generating Nonlinear Evolution Equations

SIAM Journal on Applied Mathematics, 1976
Two techniques for generating nonlinear evolution equations which can be analyzed by the inverse-scattering method are shown to be equivalent in general.
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Wazewski’s method for nonlinear evolution equations

Mathematical Notes, 2008
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Some Ideas on Nonlinear Evolution Equations

1990
This is a terse review of some ideas and recent results helpful to understand nonlinear evolution equations. The discussion is mainly limited to problems in 1+1 dimensions.
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