Pole Expansions of Nonlinear Partial Differential Equations - INSPIRE

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Pole Expansions of Nonlinear Partial Differential Equations

D.V. Chudnovsky
(
- Rome U.
)
,
G.V. Chudnovsky
(
- Rome U.
)

Mar, 1977

21 pages

Published in:

Nuovo Cim.B 40 (1977) 339-353

DOI:

10.1007/BF02728217

Report number:

ROME-37-1977

View in:

AMS MathSciNet

reference search57 citations

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Abstract: (Springer)

Pole expansions of certain solutions of various nonlinear partial differential equations are investigated. The most interesting results obtain for the Korteweg-de Vries and especially for the Burgers-Hopf equations. The motion of the poles is shown to correspond formally to the motion of one-dimensional particles interacting via simple two-body potentials, such that the corresponding many-body problems are integrable.

References(15)

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(
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,
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(
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)
,
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(
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- INFN, Rome
)

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(
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)

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•
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(
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