NonlinearWaves and Solitons on Contours and Closed Surfaces
The present volume is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such a closed curves and surfaces and other domain contours. It assumes familiarity with basic soliton theory and nonlinear dynamical
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Andrei Ludu
Nonlinear Waves and Solitons on Contours and Closed Surfaces
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Springer Complexity Springer Complexity is an interdisciplinary program publishing the best research and academic-level teaching on both fundamental and applied aspects of complex systems – cutting across all traditional disciplines of the natural and life sciences, engineering, economics, medicine, neuroscience, social and computer science. Complex Systems are systems that comprise many interacting parts with the ability to generate a new quality of macroscopic collective behavior the manifestations of which are the spontaneous formation of distinctive temporal, spatial or functional structures. Models of such systems can be successfully mapped onto quite diverse “real-life” situations like the climate, the coherent emission of light from lasers, chemical reaction-diffusion systems, biological cellular networks, the dynamics of stock markets and of the internet, earthquake statistics and prediction, freeway traffic, the human brain, or the formation of opinions in social systems, to name just some of the popular applications. Although their scope and methodologies overlap somewhat, one can distinguish the following main concepts and tools: self-organization, nonlinear dynamics, synergetics, turbulence, dynamical systems, catastrophes, instabilities, stochastic processes, chaos, graphs and networks, cellular automata, adaptive systems, genetic algorithms and computational intelligence. The two major book publication platforms of the Springer Complexity program are the monograph series “Understanding Complex Systems” focusing on the various applications of complexity, and the “Springer Series in Synergetics”, which is devoted to the quantitative theoretical and methodological foundations. In addition to the books in these two core series, the program also incorporates individual titles ranging from textbooks to major reference works.
Editorial and Programme Advisory Board ´ P´eter Erdi Center for Complex Systems Studies, Kalamazoo College, USA, and Hungarian Academy of Sciences, Budapest, Hungary
Karl Friston National Hospital, Institute Neurology, Wellcome Dept. Cogn. Neurology, London, UK
Hermann Haken Center of Synergetics, University of Stuttgart, Stuttgart, Germany
Janusz Kacprzyk System Research, Polish Academy of Sciences, Warsaw, Poland
Scott Kelso Center for Complex Systems and Brain Sciences, Florida Atlantic University, Boca Raton, USA
Ju¨ rgen Kurths Nonlinear Dynamics Group, University of Potsdam, Potsdam, Germany
Linda Reichl
Department of Physics, Prigogine Center for Statistical Mechanics, University of Texas, Austin, USA
Peter Schuster Theoretical Chemistry and Structural Biology, University of Vienna, Vienna, Austria
Frank Schweitzer System Design, ETH Zurich, Zurich, Switzerland
Didier Sornette Entrepreneurial Risk, ETH Zurich, Zurich, Switzerland
Springer Series in Synergetics Founding Editor: H. Haken
The Springer Series in Synergetics was founded by Herman Haken in 1977. Since then, the series has
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