Lax pair representation and Darboux transformation of noncommutative Painlevé's second equation (Q423686)
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scientific article; zbMATH DE number 6042458
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lax pair representation and Darboux transformation of noncommutative Painlevé's second equation |
scientific article; zbMATH DE number 6042458 |
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Lax pair representation and Darboux transformation of noncommutative Painlevé's second equation (English)
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4 June 2012
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The paper is focused on finding the Lax formulation, the Darboux transformation and a quasi-determinant solution of the noncommutative form of the second Painlevé equation introduced by \textit{V. Retakh} and \textit{V. Rubtsov} [J. Phys. A, Math. Theor. 43, No. 50, Article ID 505204, 13 p. (2010; Zbl 1211.37079)].
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Integrable systems
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Lax equation
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Darboux transformation
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quasideterminants
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solitons
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noncommutative second Painlevé equation
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0.9242346
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0.9136516
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0.8944374
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0.8935841
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0.89218354
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0.89172316
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0.8896393
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0.8886229
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