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Nonlinear waves, solitons and chaos. 2nd ed. (English) Zbl 0994.76001
Cambridge: Cambridge University Press. xiv, 391 p. (2000).
The second edition of this popular book on nonlinear wave dynamics closely follows the first edition [for the review see (1990; Zbl 0726.76018)] and therefore reflects the state of research in the early 1990’s. The authors added several examples from nonlinear optics, biology, solid state physics and other fields, and some new results and references. There is a new chapter 10 on soliton metamorphosis, where the authors describe the evolution of instabilities for one- and two-dimensional solitons in two- and three-dimensional space.

MSC:
76-02 Research exposition (monographs, survey articles) pertaining to fluid mechanics
76B25 Solitary waves for incompressible inviscid fluids
35Q51 Soliton equations
37Dxx Dynamical systems with hyperbolic behavior
37Kxx Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems
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