Faulhaber and Bernoulli polynomials and solitons

Physica D: Nonlinear Phenomena

Volumn 152-153, Issue , 2001, Pages 47-50

  Fairlie, D B ^a   Veselov, A P ^b,c  

^a DURHAM UNIVERSITY   (United Kingdom)

^b LOUGHBOROUGH UNIVERSITY   (United Kingdom)

^c LANDAU INSTITUTE FOR THEORETICAL PHYSICS   (Russian Federation)

Author keywords

Bernoulli polynomial; Faulhaber polynomial; KdV equation; Soliton

Indexed keywords

EID: 0035873588     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(01)00157-9     Document Type: Article

References (10)

1. J. Faulhaber, Academia Algebra, Augsburg, 1631.
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3. Knuth D.E. Johann Faulhaber and the sums of powers. Math. Comput. 61(203):1993;277-294.
4. A. Erdelyi (Ed.), Higher Transcendental Functions, Vols. 1-3, McGraw-Hill, New York, 1953.
5. Miura R.M., Gardner C.S., Kruskal M.D. Korteweg-de Vries equation and generalisations. II. J. Math. Phys. 9(8):1968;1204-1209.
6. Kruskal M.D., Miura R.M., Gardner C.S., Zabusky N.J. Korteweg-de Vries equation and generalisations. V. J. Math. Phys. 11(3):1970;952-960.
7. Zakharov V.E., Faddeev L.D. KdV equation is completely integrable Hamiltonian system. Funct. Anal. Appl. 5(4):1971;18-27.
8. S.P. Novikov, S.V. Manakov, L.P. Pitaevsky, V.E. Zakharov, Theory of Solitons: The Inverse Scattering Method, Consultants Bureau, New York, 1984.
9. P.G. Drazin, R.S. Johnson, Solitons: An Introduction, Cambridge University Press, Cambridge, 1991.
10. E.T. Whittaker, G.N. Watson, A Course of Modern Analysis, Cambridge University Press, Cambridge, 1963.