In the present book the reader will find a review of methods for constructing a certain class of asymptotic solutions, which we call self-stabilizing solutions. This class includes solitons, kinks, traveling waves, etc. It can be said that either the solutions from this class or their derivatives are localized in the neighborhood of a certain curve or surface. For the present edition, the book published in Moscow by the Nauka publishing house in 1987, was almost completely revised, essentially up-dated, and shows our present understanding of the problems considered. The new results, obtained by the authors after the Russian edition was published, are referred to in footnotes. As before, the book can be divided into two parts: the methods for constructing asymptotic solutions ( Chapters I-V) and the application of these methods to some concrete problems (Chapters VI-VII). In Appendix a method for justification some asymptotic solutions is discussed briefly. The final formulas for the asymptotic solutions are given in the form of theorems. These theorems are unusual in form, since they present the results of calculations. The authors hope that the book will be useful to specialists both in differential equations and in the mathematical modeling of physical and chemical processes. The authors express their gratitude to Professor M. Hazewinkel for his attention to this work and his support.
In the last few years, the quantity of books and papers on the political, economic and legal problems of the exploration and use of the sea and marine resources has considerably increased. But the status and activities of intern a tional organizations related to maritime shipping, fisheries, scientific research in the World Ocean and the protection of the marine environment have not yet, as a whole, been represented in the scientific and reference literature. It would be fair, though, to mention that some general information on marine international organizations may be found in the Yearbook of International Organizations, Brussels, 1979; in Annotated Acronyms and Abbreviations of Marine Science Related International Organizations, U. S. Department of Commerce, 1976; and in the UN Annotated Directory ofIntergovernmental Organizations Concerned with Ocean Affairs, 1976. Voluminous informa tion on organizations engaged in problems of the exploration and use ofthe sea is given in International Marine Organizations by the well-known Polish scientists Lopuski and Symonides, 1978. Meanwhile the increasing volume of practical work related to the participa tion of governmental and scientific bodies as well as individual scientists and specialists in these organizations, the necessity of long-term planning in this field, and the perspectives of the development of these organizations, make necessary a special publication depicting the structure and many-sided activi ties of such international bodies. This book is the first one in which the most complete information on the main marine international organizations is presented.
In the present book the reader will find a review of methods for constructing a certain class of asymptotic solutions, which we call self-stabilizing solutions. This class includes solitons, kinks, traveling waves, etc. It can be said that either the solutions from this class or their derivatives are localized in the neighborhood of a certain curve or surface. For the present edition, the book published in Moscow by the Nauka publishing house in 1987, was almost completely revised, essentially up-dated, and shows our present understanding of the problems considered. The new results, obtained by the authors after the Russian edition was published, are referred to in footnotes. As before, the book can be divided into two parts: the methods for constructing asymptotic solutions ( Chapters I-V) and the application of these methods to some concrete problems (Chapters VI-VII). In Appendix a method for justification some asymptotic solutions is discussed briefly. The final formulas for the asymptotic solutions are given in the form of theorems. These theorems are unusual in form, since they present the results of calculations. The authors hope that the book will be useful to specialists both in differential equations and in the mathematical modeling of physical and chemical processes. The authors express their gratitude to Professor M. Hazewinkel for his attention to this work and his support.
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