Coupled modified KP hierarchy and its dispersionless limit.
Takebe, Takashi, Teo, Lee-Peng (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Displaying similar documents to “Dispersionless Hirota equations of two-component BKP hierarchy.”
Coupled modified KP hierarchy and its dispersionless limit.
A function related to the central limit theorem
Paul Bracken (1998)
Commentationes Mathematicae Universitatis Carolinae
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A number of properties of a function which originally appeared in a problem proposed by Ramanujan are presented. Several equivalent representations of the function are derived. These can be used to evaluate the function. A new derivation of an expansion in inverse powers of the argument of the function is obtained, as well as rational expressions for higher order coefficients.
-deformed KP hierarchy and -deformed constrained KP hierarchy.
He, Jingsong, Li, Yinghua, Cheng, Yi (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Dubrovin Type Equations for Completely Integrable Systems Associated with a Polynomial Pencil
Yordanov, Russi (1998)
Serdica Mathematical Journal
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Dubrovin type equations for the N -gap solution of a completely integrable system associated with a polynomial pencil is constructed and then integrated to a system of functional equations. The approach used to derive those results is a generalization of the familiar process of finding the 1-soliton (1-gap) solution by integrating the ODE obtained from the soliton equation via the substitution u = u(x + λt).
On the rearranged block-orthonormal systems.
Nadibaidze, G. (2000)
Georgian Mathematical Journal
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On regularized solution for BBGKY hierarchy of one-dimensional infinite system.
Ryabukha, Tatiana V. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Clifford algebra derivations of tau-functions for two-dimensional integrable models with positive and negative flows.
Aratyn, Henrik, van de Leur, Johan (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Asymptotic representations for Fibonacci reciprocal sums and Euler’s formulas for zeta values
Carsten Elsner, Shun Shimomura, Iekata Shiokawa (2009)
Journal de Théorie des Nombres de Bordeaux
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We present asymptotic representations for certain reciprocal sums of Fibonacci numbers and of Lucas numbers as a parameter tends to a critical value. As limiting cases of our results, we obtain Euler’s formulas for values of zeta functions.