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Singularity analysis of a new discrete nonlinear Schrodinger equation | S. Yu. Sakovich
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28 Nov 2001 | Subject: | Exactly Solvable and Integrable Systems; Mathematical Physics; Classical Analysis and ODEs | nlin.SI math-ph math.CA math.MP | Abstract: | We apply the Painleve test for integrability to the new discrete nonlinear Schrodinger equation introduced by Leon and Manna. Since the singular expansions of solutions of this equation turn out to contain non-dominant logarithmic terms, we conclude that the studied equation is nonintegrable. This result supports the recent observation of Levi and Yamilov that the Leon-Manna equation does not admit high-order generalized symmetries. | Source: | arXiv, nlin.SI/0111060 | Services: | Forum | Review | PDF | Favorites |
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