On the fission of algebraic solitons

Wooyoung Choi

doi:10.1098/rspa.1997.0094

On the fission of algebraic solitons

Wooyoung Choi

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

3 Scopus citations

Abstract

The fission of an algebraic internal soliton climbing onto a shelf in a two-fluid system of infinite depth is investigated. It is shown that, by using conservation laws of the Benjamin-Ono equation with variable coefficients, we can predict the number of solitons emerging from an incident solitary wave and their amplitudes. These predictions are also verified with numerical solutions.

Original language	English (US)
Pages (from-to)	1753-1762
Number of pages	10
Journal	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	453
Issue number	1963
DOIs	https://doi.org/10.1098/rspa.1997.0094
State	Published - 1997
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics
General Engineering
General Physics and Astronomy

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10.1098/rspa.1997.0094

Cite this

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title = "On the fission of algebraic solitons",

abstract = "The fission of an algebraic internal soliton climbing onto a shelf in a two-fluid system of infinite depth is investigated. It is shown that, by using conservation laws of the Benjamin-Ono equation with variable coefficients, we can predict the number of solitons emerging from an incident solitary wave and their amplitudes. These predictions are also verified with numerical solutions.",

author = "Wooyoung Choi",

year = "1997",

doi = "10.1098/rspa.1997.0094",

language = "English (US)",

volume = "453",

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journal = "Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences",

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number = "1963",

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AB - The fission of an algebraic internal soliton climbing onto a shelf in a two-fluid system of infinite depth is investigated. It is shown that, by using conservation laws of the Benjamin-Ono equation with variable coefficients, we can predict the number of solitons emerging from an incident solitary wave and their amplitudes. These predictions are also verified with numerical solutions.

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DO - 10.1098/rspa.1997.0094

M3 - Article

AN - SCOPUS:33746830864

SN - 1364-5021

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JO - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

IS - 1963

ER -

On the fission of algebraic solitons

Abstract

All Science Journal Classification (ASJC) codes

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