Generation of flexural waves on a quasi-one-dimensional KP soliton by a point-like dipole

Alexey V. Fedorov; Boris A. Malomed

doi:10.1016/0165-2125(92)90009-Q

Generation of flexural waves on a quasi-one-dimensional KP soliton by a point-like dipole

Alexey V. Fedorov^*
, Boris A. Malomed

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Interaction of a quasi one-dimensional soliton of the Kadomtsev-Petviashvili (KP-II) equation with a moving local dipole, described by an additional term in the equation, is investigated analytically by means of the Lagrangian-averaging (Whitham's) technique. The main result of the interaction is the generation of left-and right-going flexural waves on the crest of the soliton. The generated flexural waves are found in an explicit form.

Original language	English
Pages (from-to)	221-227
Number of pages	7
Journal	Wave Motion
Volume	15
Issue number	3
DOIs	https://doi.org/10.1016/0165-2125(92)90009-Q
State	Published - Apr 1992
Externally published	Yes

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10.1016/0165-2125(92)90009-Q

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title = "Generation of flexural waves on a quasi-one-dimensional KP soliton by a point-like dipole",

abstract = "Interaction of a quasi one-dimensional soliton of the Kadomtsev-Petviashvili (KP-II) equation with a moving local dipole, described by an additional term in the equation, is investigated analytically by means of the Lagrangian-averaging (Whitham's) technique. The main result of the interaction is the generation of left-and right-going flexural waves on the crest of the soliton. The generated flexural waves are found in an explicit form.",

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year = "1992",

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AU - Fedorov, Alexey V.

AU - Malomed, Boris A.

PY - 1992/4

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N2 - Interaction of a quasi one-dimensional soliton of the Kadomtsev-Petviashvili (KP-II) equation with a moving local dipole, described by an additional term in the equation, is investigated analytically by means of the Lagrangian-averaging (Whitham's) technique. The main result of the interaction is the generation of left-and right-going flexural waves on the crest of the soliton. The generated flexural waves are found in an explicit form.

AB - Interaction of a quasi one-dimensional soliton of the Kadomtsev-Petviashvili (KP-II) equation with a moving local dipole, described by an additional term in the equation, is investigated analytically by means of the Lagrangian-averaging (Whitham's) technique. The main result of the interaction is the generation of left-and right-going flexural waves on the crest of the soliton. The generated flexural waves are found in an explicit form.

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Generation of flexural waves on a quasi-one-dimensional KP soliton by a point-like dipole

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