Bilinearization of discrete soliton equations through the singularity confinement test

Kenji Kajiwara; Ken Ichi Maruno; Masayuki Oikawa

doi:10.1016/S0960-0779(98)00265-3

Bilinearization of discrete soliton equations through the singularity confinement test

Kenji Kajiwara, Ken Ichi Maruno, Masayuki Oikawa

Research output: Contribution to journal › Conference article › peer-review

3 Citations (Scopus)

Abstract

Bilinear equations can be obtained for discrete soliton equations using the singularity confinement test. This shows that the singularity confinement test is useful for detecting integrability and in constructing solutions. Thus, the singularity confinement test is truly a powerful tool for studying discrete integrable systems.

Original language	English
Pages (from-to)	33-39
Number of pages	7
Journal	Chaos, solitons and fractals
Volume	11
Issue number	1
DOIs	https://doi.org/10.1016/S0960-0779(98)00265-3
Publication status	Published - 2000
Externally published	Yes
Event	Proceedings of the 1997 Brussels Meeting II: Integrability and Chaos in Discrete Systems - Brussels, Belgium Duration: Jul 2 1997 → Jul 6 1997

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematics(all)
Physics and Astronomy(all)
Applied Mathematics

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10.1016/S0960-0779(98)00265-3

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title = "Bilinearization of discrete soliton equations through the singularity confinement test",

abstract = "Bilinear equations can be obtained for discrete soliton equations using the singularity confinement test. This shows that the singularity confinement test is useful for detecting integrability and in constructing solutions. Thus, the singularity confinement test is truly a powerful tool for studying discrete integrable systems.",

author = "Kenji Kajiwara and Maruno, {Ken Ichi} and Masayuki Oikawa",

note = "Funding Information: This work was supported by RIAM Joint Research Program. One of the authors (K.K.) was supported by the Grant-in-aid for Encouragement of Young Scientists, The Ministry of Education, Science and Culture of Japan, No. 09740164.; Proceedings of the 1997 Brussels Meeting II: Integrability and Chaos in Discrete Systems ; Conference date: 02-07-1997 Through 06-07-1997",

year = "2000",

doi = "10.1016/S0960-0779(98)00265-3",

language = "English",

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journal = "Chaos, Solitons and Fractals",

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TY - JOUR

T1 - Bilinearization of discrete soliton equations through the singularity confinement test

AU - Kajiwara, Kenji

AU - Maruno, Ken Ichi

AU - Oikawa, Masayuki

N1 - Funding Information: This work was supported by RIAM Joint Research Program. One of the authors (K.K.) was supported by the Grant-in-aid for Encouragement of Young Scientists, The Ministry of Education, Science and Culture of Japan, No. 09740164.

PY - 2000

Y1 - 2000

N2 - Bilinear equations can be obtained for discrete soliton equations using the singularity confinement test. This shows that the singularity confinement test is useful for detecting integrability and in constructing solutions. Thus, the singularity confinement test is truly a powerful tool for studying discrete integrable systems.

AB - Bilinear equations can be obtained for discrete soliton equations using the singularity confinement test. This shows that the singularity confinement test is useful for detecting integrability and in constructing solutions. Thus, the singularity confinement test is truly a powerful tool for studying discrete integrable systems.

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U2 - 10.1016/S0960-0779(98)00265-3

DO - 10.1016/S0960-0779(98)00265-3

M3 - Conference article

AN - SCOPUS:0033913260

SN - 0960-0779

VL - 11

SP - 33

EP - 39

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 1

T2 - Proceedings of the 1997 Brussels Meeting II: Integrability and Chaos in Discrete Systems

Y2 - 2 July 1997 through 6 July 1997

ER -

Bilinearization of discrete soliton equations through the singularity confinement test

Abstract

All Science Journal Classification (ASJC) codes

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