On linearization of the Ermakov system

C. Athorne; C. Rogers; U. Ramgulam; A. Osbaldestin

doi:10.1016/0375-9601(90)90740-F

On linearization of the Ermakov system

C. Athorne^*, C. Rogers, U. Ramgulam, A. Osbaldestin

^*Corresponding author for this work

School of Mathematics & Physics

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

Abstract

It is shown that the nonlinear Ermakov system may be reduced to consideration of a pair of linear equations. Geometric aspects of the procedure along with analytic results pertaining to its inversion are noted. Graphical results are presented for a particular Ermakov system that arises in two-layer long wave theory.

Original language	English
Pages (from-to)	207-212
Number of pages	6
Journal	Physics Letters A
Volume	143
Issue number	4-5
DOIs	https://doi.org/10.1016/0375-9601(90)90740-F
Publication status	Published - 15 Jan 1990

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title = "On linearization of the Ermakov system",

abstract = "It is shown that the nonlinear Ermakov system may be reduced to consideration of a pair of linear equations. Geometric aspects of the procedure along with analytic results pertaining to its inversion are noted. Graphical results are presented for a particular Ermakov system that arises in two-layer long wave theory.",

author = "C. Athorne and C. Rogers and U. Ramgulam and A. Osbaldestin",

year = "1990",

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AU - Athorne, C.

AU - Rogers, C.

AU - Ramgulam, U.

AU - Osbaldestin, A.

PY - 1990/1/15

Y1 - 1990/1/15

N2 - It is shown that the nonlinear Ermakov system may be reduced to consideration of a pair of linear equations. Geometric aspects of the procedure along with analytic results pertaining to its inversion are noted. Graphical results are presented for a particular Ermakov system that arises in two-layer long wave theory.

AB - It is shown that the nonlinear Ermakov system may be reduced to consideration of a pair of linear equations. Geometric aspects of the procedure along with analytic results pertaining to its inversion are noted. Graphical results are presented for a particular Ermakov system that arises in two-layer long wave theory.

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U2 - 10.1016/0375-9601(90)90740-F

DO - 10.1016/0375-9601(90)90740-F

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VL - 143

SP - 207

EP - 212

JO - Physics Letters A

JF - Physics Letters A

IS - 4-5

ER -

On linearization of the Ermakov system

Abstract

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