Note on Backlund transformations

Ruud Martini

doi:10.1088/0305-4470/20/4/034

Note on Backlund transformations

Ruud Martini

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Abstract

The method of obtaining Backlund transformations proposed by Chern and Tenenblat (1986) fits completely the approach of obtaining Backlund transformations by prolongation techniques. For KdV, MKdV and sine-Gordon equations the only difference consists in the application of a non-linear representation of the prolongation algebra other than the usual one. This representation can be obtained by a coordinate transformation of the prolongation variable

Original language	Undefined
Pages (from-to)	1011
Journal	Journal of physics A: mathematical and general
Volume	20
Issue number	4
DOIs	https://doi.org/10.1088/0305-4470/20/4/034
Publication status	Published - 1987

Keywords

IR-60631

Access to Document

10.1088/0305-4470/20/4/034

note_on_backlund

Cite this

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title = "Note on Backlund transformations",

abstract = "The method of obtaining Backlund transformations proposed by Chern and Tenenblat (1986) fits completely the approach of obtaining Backlund transformations by prolongation techniques. For KdV, MKdV and sine-Gordon equations the only difference consists in the application of a non-linear representation of the prolongation algebra other than the usual one. This representation can be obtained by a coordinate transformation of the prolongation variable",

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T1 - Note on Backlund transformations

AU - Martini, Ruud

PY - 1987

Y1 - 1987

N2 - The method of obtaining Backlund transformations proposed by Chern and Tenenblat (1986) fits completely the approach of obtaining Backlund transformations by prolongation techniques. For KdV, MKdV and sine-Gordon equations the only difference consists in the application of a non-linear representation of the prolongation algebra other than the usual one. This representation can be obtained by a coordinate transformation of the prolongation variable

AB - The method of obtaining Backlund transformations proposed by Chern and Tenenblat (1986) fits completely the approach of obtaining Backlund transformations by prolongation techniques. For KdV, MKdV and sine-Gordon equations the only difference consists in the application of a non-linear representation of the prolongation algebra other than the usual one. This representation can be obtained by a coordinate transformation of the prolongation variable

KW - IR-60631

U2 - 10.1088/0305-4470/20/4/034

DO - 10.1088/0305-4470/20/4/034

M3 - Article

SN - 0305-4470

VL - 20

SP - 1011

JO - Journal of physics A: mathematical and general

JF - Journal of physics A: mathematical and general

IS - 4

ER -