Genus-two solutions to the Kadomtsev-Petviashvili equation

E. Cahyono; E. van Groesen; E. Soewono; S. Subarinah

doi:10.1007/978-94-011-5157-3_13

Genus-two solutions to the Kadomtsev-Petviashvili equation

E. Cahyono, E. van Groesen, E. Soewono, S. Subarinah

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Abstract

In this paper we consider dynamical aspects of multi-directional waves described by the Kadomtsev-Petviashvili (KP) equation. We investigate some analytically known solutions: the two-soliton interacting waves and their periodic equivalents. It is shown that the behaviour of the interaction of two-solitons can be classified by a parameter A ≥ 0 (depending on the amplitudes of pure one-solitons and the angles of interactions). In the limiting case when A = 0, it is found that the two-soliton reduces to a three-branch soliton.

Original language	English
Title of host publication	Differential equations
Subtitle of host publication	Theory, Numerics and Applications
Editors	E. van Groesen, E. Soewono
Place of Publication	Dordrecht
Publisher	Kluwer Academic Publishers
Pages	233-243
Number of pages	11
ISBN (Electronic)	978-94-011-5157-3
ISBN (Print)	978-94-010-6168-1
DOIs	https://doi.org/10.1007/978-94-011-5157-3_13
Publication status	Published - 1997
Event	International Conference on Differential Equations, ICDE 1996 - Institut TeknoIogi Bandung, Bandung, Indonesia Duration: 29 Sept 1996 → 2 Oct 1996

Conference

Conference	International Conference on Differential Equations, ICDE 1996
Abbreviated title	ICDE
Country/Territory	Indonesia
City	Bandung
Period	29/09/96 → 2/10/96

Keywords

METIS-141099
IR-30459

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10.1007/978-94-011-5157-3_13

Cahyono1997genus-twoFinal published version, 839 KB

Cite this

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abstract = "In this paper we consider dynamical aspects of multi-directional waves described by the Kadomtsev-Petviashvili (KP) equation. We investigate some analytically known solutions: the two-soliton interacting waves and their periodic equivalents. It is shown that the behaviour of the interaction of two-solitons can be classified by a parameter A ≥ 0 (depending on the amplitudes of pure one-solitons and the angles of interactions). In the limiting case when A = 0, it is found that the two-soliton reduces to a three-branch soliton.",

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Cahyono, E, van Groesen, E, Soewono, E & Subarinah, S 1997, Genus-two solutions to the Kadomtsev-Petviashvili equation. in E van Groesen & E Soewono (eds), Differential equations: Theory, Numerics and Applications. Kluwer Academic Publishers, Dordrecht, pp. 233-243, International Conference on Differential Equations, ICDE 1996, Bandung, Indonesia, 29/09/96. https://doi.org/10.1007/978-94-011-5157-3_13

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T1 - Genus-two solutions to the Kadomtsev-Petviashvili equation

AU - Cahyono, E.

AU - van Groesen, E.

AU - Soewono, E.

AU - Subarinah, S.

PY - 1997

Y1 - 1997

N2 - In this paper we consider dynamical aspects of multi-directional waves described by the Kadomtsev-Petviashvili (KP) equation. We investigate some analytically known solutions: the two-soliton interacting waves and their periodic equivalents. It is shown that the behaviour of the interaction of two-solitons can be classified by a parameter A ≥ 0 (depending on the amplitudes of pure one-solitons and the angles of interactions). In the limiting case when A = 0, it is found that the two-soliton reduces to a three-branch soliton.

AB - In this paper we consider dynamical aspects of multi-directional waves described by the Kadomtsev-Petviashvili (KP) equation. We investigate some analytically known solutions: the two-soliton interacting waves and their periodic equivalents. It is shown that the behaviour of the interaction of two-solitons can be classified by a parameter A ≥ 0 (depending on the amplitudes of pure one-solitons and the angles of interactions). In the limiting case when A = 0, it is found that the two-soliton reduces to a three-branch soliton.

KW - METIS-141099

KW - IR-30459

U2 - 10.1007/978-94-011-5157-3_13

DO - 10.1007/978-94-011-5157-3_13

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EP - 243

BT - Differential equations

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A2 - Soewono, E.

PB - Kluwer Academic Publishers

CY - Dordrecht

T2 - International Conference on Differential Equations, ICDE 1996

Y2 - 29 September 1996 through 2 October 1996

ER -

Genus-two solutions to the Kadomtsev-Petviashvili equation

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