On soliton solutions of nonlinear sigma models of symmetric spaces (Q2772957)
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scientific article; zbMATH DE number 1708515
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On soliton solutions of nonlinear sigma models of symmetric spaces |
scientific article; zbMATH DE number 1708515 |
Statements
11 April 2002
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inverse scattering
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integration technique of Belinskii-Zakharov
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Ernst equations
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On soliton solutions of nonlinear sigma models of symmetric spaces (English)
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In this work, the author reviews the integration technique of Belinskii-Zakharov in a coordinate free way and discusses the two reduction problems. Also the vacuum and electro-vacuum Ernst equations as nonlinear sigma models on symmetric spaces are briefly reviewed. The \(N\)-soliton solutions of principal chiral field equations are given and two different reduction problems are discussed. Finally, the complex two-pole soliton solutions of vacuum and electro-vacuum Ernst equations on arbitrary background are constructed and explicit solitons with flat backgrounds are given.
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