Abstract
In the recent years, one has discovered many soliton solutions evolve the Chaos for near integrable system which show that long—time behavior of solutions of a very large class of PDE possess a striking resemblance to the behavior of solution of finite dimensional dynamical systems, or ODE’s. In the present note we discuss the global attractors for the generalized KS equation, KdV—Burgers equation and the damped nonlinear Schrodinger equations.
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References
Guo Boling, Nonlinear Physics, 1990, Springer—velag.
Zhou Yulin and Guo Boling, Acta Math. Sinica, Vol. 27, No. 2, 1984, 154–176.
Guo Boling, J. Partial Diff. Equa., Vol. 3, No. 3, 1990, 1–23.
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© 1991 Springer-Verlag Berlin Heidelberg
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Boling, G. (1991). Universal Attractors for Some Dissipative Nonlinear Evolution Equations. In: Makhankov, V.G., Pashaev, O.K. (eds) Nonlinear Evolution Equations and Dynamical Systems. Research Reports in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76172-0_41
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DOI: https://doi.org/10.1007/978-3-642-76172-0_41
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