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1. |
Solitons in Shallow Seas of Variable Depth and in Marine Straits |
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Studies in Applied Mathematics,
Volume 80,
Issue 1,
1989,
Page 1-23
D. David,
D. Levi,
P. Winternitz,
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摘要:
A previously derived equation and boundary condition [the generalized Kadomtsev‐Petviashvili system] is used to describe the propagation of stable solitary waves in open seas and marine straits. The GKP system is transformed, under specific geophysical conditions, into a simpler system that allows exact soliton type solutions. The curved wave crests corresponding to these solutions are plotted for several choices of the depth function and side boundarie
ISSN:0022-2526
DOI:10.1002/sapm19898011
年代:1989
数据来源: WILEY
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2. |
The Combinatorics of Laguerre, Charlier, and Hermite Polynomials |
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Studies in Applied Mathematics,
Volume 80,
Issue 1,
1989,
Page 25-36
Jacques Labelle,
Yeong Nan Yeh,
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摘要:
This paper describes several combinatorial models for Laguerre, Charlier, and Hermite polynomials, and uses them to prove combinatorially some classical formulas. The so‐called “Italian limit formula” (from Laguerre to Hermite), the Appel identity for Hermite polynomials, and the two Sheffer identities for Laguerre and Charlier polynomials are proved. We also give bijective proofs of the three‐term recurrences. These three families form the bottom triangle in R. Askey's chart classifying hypergeometric orthogonal poly
ISSN:0022-2526
DOI:10.1002/sapm198980125
年代:1989
数据来源: WILEY
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3. |
A Mean Flow First Harmonic Theory for Hydrodynamic Instabilities |
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Studies in Applied Mathematics,
Volume 80,
Issue 1,
1989,
Page 37-73
D. J. Benney,
K. Chow,
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摘要:
A general theory is presented for nonlinear instabilities arising in steady hydrodynamic motions. For quasiparallel flows at high values of the Reynolds number it is found that for relatively small disturbance levels the usual ideas concerning the generation of higher harmonics and the subsequent modification of the fundamental may be overwhelmed by three dimensional interactions between the evolving mean flow and the first harmonic wave. The differences from and similarities to existing asymptotic and numerical studies are discussed. The theory developed applies to a variety of flow configurations. Numerical results are given for Poiseuille flow and the Blasius boundary layer. In addition the theory developed here is applied to simulate the instabilities produced in a boundary layer due to the presence of free stream disturbances.
ISSN:0022-2526
DOI:10.1002/sapm198980137
年代:1989
数据来源: WILEY
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4. |
On a System of Differential Equations Connected with the Gravitational Instability of a Multicomponent Medium in Newtonian Cosmology |
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Studies in Applied Mathematics,
Volume 80,
Issue 1,
1989,
Page 75-93
A. M. Mathai,
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摘要:
The gravitational clustering of a multicomponent medium in an expanding universe has been considered by many authors in recent years. The system of differential equations associated with such a multicomponent medium is generalized in this article by incorporating arbitrary parameters. Explicit analytic solutions of this generalized system are given for various situations. Physical interpretations of the solutions are not considered, but the various solutions of physical problems obtained by various authors can be seen to be special cases of the general solutions given in this article.
ISSN:0022-2526
DOI:10.1002/sapm198980175
年代:1989
数据来源: WILEY
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