### Abstract

The singularity confinement method is applied to the systematic derivation of the bilinear equations for discrete soliton equations. Using the bilinear forms, the N-soliton and algebraic solutions of the discrete potential mKdV equation are constructed.

Original language | English |
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Pages (from-to) | 173-182 |

Number of pages | 10 |

Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |

Volume | 229 |

Issue number | 3 |

DOIs | |

Publication status | Published - May 12 1997 |

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### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

### Cite this

*Physics Letters, Section A: General, Atomic and Solid State Physics*,

*229*(3), 173-182. https://doi.org/10.1016/S0375-9601(97)00171-0

**Bilinearization of discrete soliton equations and singularity confinement.** / Maruno, Kenichi; Kajiwara, Kenji; Nakao, Shinichiro; Oikawa, Masayuki.

Research output: Contribution to journal › Article

*Physics Letters, Section A: General, Atomic and Solid State Physics*, vol. 229, no. 3, pp. 173-182. https://doi.org/10.1016/S0375-9601(97)00171-0

}

TY - JOUR

T1 - Bilinearization of discrete soliton equations and singularity confinement

AU - Maruno, Kenichi

AU - Kajiwara, Kenji

AU - Nakao, Shinichiro

AU - Oikawa, Masayuki

PY - 1997/5/12

Y1 - 1997/5/12

N2 - The singularity confinement method is applied to the systematic derivation of the bilinear equations for discrete soliton equations. Using the bilinear forms, the N-soliton and algebraic solutions of the discrete potential mKdV equation are constructed.

AB - The singularity confinement method is applied to the systematic derivation of the bilinear equations for discrete soliton equations. Using the bilinear forms, the N-soliton and algebraic solutions of the discrete potential mKdV equation are constructed.

UR - http://www.scopus.com/inward/record.url?scp=0043136160&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0043136160&partnerID=8YFLogxK

U2 - 10.1016/S0375-9601(97)00171-0

DO - 10.1016/S0375-9601(97)00171-0

M3 - Article

AN - SCOPUS:0043136160

VL - 229

SP - 173

EP - 182

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 3

ER -