Prolongation structure of the KdV equation in the bilinear form of Hirota

G.H.M. Roelofs; Marcel Roelofs; Ruud Martini

doi:10.1088/0305-4470/23/11/015

Prolongation structure of the KdV equation in the bilinear form of Hirota

G.H.M. Roelofs, Marcel Roelofs, Ruud Martini

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

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Abstract

The prolongation structure of the KdV equation in the bilinear form of Hirota is determined, the resulting Lie algebra is realised and the Backlund transformation obtained from the prolongation structure is derived. The results are compared with those found by Wahlquist and Estabrook (1975) and by Hirota (1980).

Original language	Undefined
Pages (from-to)	1877-1884
Number of pages	8
Journal	Journal of physics A: mathematical and general
Volume	23
Issue number	11
DOIs	https://doi.org/10.1088/0305-4470/23/11/015
Publication status	Published - 1990

Keywords

METIS-140327
IR-60683

Access to Document

10.1088/0305-4470/23/11/015

prolongation_structure

Cite this

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title = "Prolongation structure of the KdV equation in the bilinear form of Hirota",

abstract = "The prolongation structure of the KdV equation in the bilinear form of Hirota is determined, the resulting Lie algebra is realised and the Backlund transformation obtained from the prolongation structure is derived. The results are compared with those found by Wahlquist and Estabrook (1975) and by Hirota (1980).",

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author = "G.H.M. Roelofs and Marcel Roelofs and Ruud Martini",

year = "1990",

doi = "10.1088/0305-4470/23/11/015",

language = "Undefined",

volume = "23",

pages = "1877--1884",

journal = "Journal of physics A: mathematical and general",

issn = "0305-4470",

publisher = "Institute of Physics (IOP)",

number = "11",

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T1 - Prolongation structure of the KdV equation in the bilinear form of Hirota

AU - Roelofs, G.H.M.

AU - Roelofs, Marcel

AU - Martini, Ruud

PY - 1990

Y1 - 1990

N2 - The prolongation structure of the KdV equation in the bilinear form of Hirota is determined, the resulting Lie algebra is realised and the Backlund transformation obtained from the prolongation structure is derived. The results are compared with those found by Wahlquist and Estabrook (1975) and by Hirota (1980).

AB - The prolongation structure of the KdV equation in the bilinear form of Hirota is determined, the resulting Lie algebra is realised and the Backlund transformation obtained from the prolongation structure is derived. The results are compared with those found by Wahlquist and Estabrook (1975) and by Hirota (1980).

KW - METIS-140327

KW - IR-60683

U2 - 10.1088/0305-4470/23/11/015

DO - 10.1088/0305-4470/23/11/015

M3 - Article

SN - 0305-4470

VL - 23

SP - 1877

EP - 1884

JO - Journal of physics A: mathematical and general

JF - Journal of physics A: mathematical and general

IS - 11

ER -