### 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 |
---|---|

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 |

Publication status | Published - 1997 May 12 |

Externally published | Yes |

### Fingerprint

### Keywords

- Bilinear form
- Discrete potential mKdV equation
- Discrete soliton equation
- Hirota's method
- Singularity confinement

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

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

*229*(3), 173-182.

**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.

}

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.

KW - Bilinear form

KW - Discrete potential mKdV equation

KW - Discrete soliton equation

KW - Hirota's method

KW - Singularity confinement

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

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

M3 - Article

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 -