The Gould-Hopper polynomials in the Novikov-Veselov equation
نویسندگان
چکیده
منابع مشابه
Multi-variable Gould-Hopper and Laguerre polynomials
The idea of monomiality traces back to the early forties of the last century, when J.F. Steffensen, in a largely unnoticed paper [1], suggested the concept of poweroid. A new interest in this subject was created by the work of G. Dattoli and his collaborators [2], [3] It turns out that all polynomial families, and in particular all special polynomials, are essentially the same, since it is poss...
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Darboux transformation is developed to systematically find variable separation solutions for the Nizhnik-Novikov-Veselov equation. Starting from a seed solution with some arbitrary functions, the once Darboux transformation yields the variable separable solutions which can be obtained from the truncated Painlevé analysis and the twice Darboux transformation leads to some new variable separable ...
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and the corresponding evolution equation (1.1) were given in [NV1], [NV2], where equation (1.1) was also studied in the periodic setting. Solitons and the large time asymptotic behavior of sufficiently localized in space solutions for the Novikov-Veselov equation were studied in the series of works [GN1, G1, Nov2, K1, KN1, KN2, KN3]. In [KN1, K1] it was shown that in the regular case, i.e. when...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2011
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.3638043