Solitons in Field Theory and Nonlinear Analysis

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ISBN-13:
9780387952420
Erscheinungsdatum:
01.06.2001
Seiten:
553
Autor:
Yisong Yang
Gewicht:
925 g
Format:
243x162x31 mm
Serie:
Springer Monographs in Mathema
Sprache:
Englisch
Beschreibung:

There are two approaches in the study of differential equations of field theory. The first, finding closed-form solutions, works only for a narrow category of problems. Written by a well-known active researcher, this book focuses on the second, which is to investigate solutions using tools from modern nonlinear analysis.
There are two approaches in the study of differential equations of field theory. The first, finding closed-form solutions, works only for a narrow category of problems. This book focuses on the second, which is to investigate solutions using tools from modern nonlinear analysis. Written by a well known active researcher, this book is useful to both mathematicians and theoretical physicists, especially those interested in nonlinear analysis.
Preface * Primer of Field Theory * Sigma Models * Multiple Instantons and Characteristic Classes * Generalized Abelian Higgs Equations * Chern-Simons Systems: Abelian Case * Chern-Simons Systems: Non-Abelian Case * Electroweak Vortices * Dyons * Ordinary Differential Equations * Strings in Cosmology * Vortices and Antivortices * Born-Infeld Solutions * References * Bibliography * Index

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