Two-Dimensional Solitons of the Kadomtsev-Petviashvili Equation and their Interaction

Manakov, S.V.; Zakharov, V.E.; Bordag, L.A.; Its, A.R.; Matveev, V.B.

doi:10.1016/0375-9601(77)90875-1

Two-Dimensional Solitons of the Kadomtsev-Petviashvili Equation and their Interaction

S.V. Manakov
(
- Landau Inst.
)
,
V.E. Zakharov
(
- Landau Inst.
)
,
L.A. Bordag
(
- St. Petersburg State U.
)
,
A.R. Its
(
- St. Petersburg State U.
)
,
V.B. Matveev
(
- St. Petersburg State U.
)

1977

2 pages

Published in:

Phys.Lett.A 63 (1977) 205-206

DOI:

10.1016/0375-9601(77)90875-1

View in:

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Abstract: (Elsevier)

Explicit analytic formulae for two-dimensional solitons are given. It is proved that, unlike one-dimensional solitons, two-dimensional ones do not interact at all.

FIELD THEORY: SOLITON
FIELD EQUATIONS: DISPERSION
Kadomtsev-Petviashvili equation

References(6)

Figures(0)

[1]

B.B. Kadomtzev
,
V.I. Petviashvili

- Compt.Rend.Academy of Sciences of USSR 192 (1970) 753

[2]

(in Russian)

V.E. Zakharov
,
A.B. Shabat

- Functional analysis 8 (1974) 43

[3]

V.S. Dryuma

- Pisma v ZhETF 19 (1974) 753

[4]

V.E. Zakharov

- Pisma v ZhETF 22 (1975) 364

[5]

(in Russian)

V.I. Petviashvili

- Plasma Phys. 1 (1975) 364

[6]

Preprint Karl-Marx Universität, Leipzig

L.A. Sapjanova