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Studies in Miura-Gardner-Kruskal recurrence sequence

Journal: Global Journal of Mathematics (GJM) (Vol.1, No. 1)

Publication Date:

Authors : ;

Page : 1-11

Keywords : integrable systems; KdV equation; conservation laws; Faulhaber polynomials;

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Abstract

Solutions of a classical nonlinear differential recurrence equation are investigated for explicit expressions. Normalization of infinitely many conserved densities of KdV equation is further discussed. Closed formulas of integrals involving sech2(x) are derived as an application.

Last modified: 2015-08-26 15:18:58