Many-parameter solutions of the Tzitzéica equation (Q2703856)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Many-parameter solutions of the Tzitzéica equation |
scientific article |
Statements
2 July 2001
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soliton-type solution
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Moutard-Tzitzéica transformation
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commutativity theorem
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Many-parameter solutions of the Tzitzéica equation (English)
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The authors investigate a special case of the Mountard transformation. They prove a commutativity theorem for the iterated modified transformation and use it to the construction of \(N-\) soliton solutions to the Tzitzéica equation \((\ln v)_{xy}=v-1/v^2.\)
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