Multi-valued finite-zone solutions of the equation \(\Delta u=\sin u\) (Q750741)
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scientific article; zbMATH DE number 4175550
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multi-valued finite-zone solutions of the equation \(\Delta u=\sin u\) |
scientific article; zbMATH DE number 4175550 |
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Multi-valued finite-zone solutions of the equation \(\Delta u=\sin u\) (English)
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1990
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The procedure of construction of multi-valued two-zone solutions is determined in the paper. An analogy of Lamb ansatz is considered and a qualitative investigation of two-zone multi-valued solutions is carried out with the help of Lamb solutions. A variational problem corresponding to the equation \(\Delta U=\sin U\) is considered, and its minimal solutions are found.
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Lamb ansatz
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0.8582202
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0.85224783
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