The Camassa-Holm equation: a loop group approach (Q1808397)
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| Language | Label | Description | Also known as |
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| English | The Camassa-Holm equation: a loop group approach |
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The Camassa-Holm equation: a loop group approach (English)
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6 December 1999
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The author deals with the Camassa-Holm (CH) equation: \(u_t= 2f_xu+ fu_x\), \(u= \frac 12 f_{xx}-2f\). He presents an analog of the Segal-Wilson map for the CH equation. Let us recall that the Segal-Wilson map associates with each element of a loop group a solution of KdV. As an application the author presents 2-soliton solutions of the CH equation, as well as some novel singular solutions.
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Camassa-Holm equation
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Segal-Wilson map
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singular solution
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