### 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 - 1997 May 12 |

### Keywords

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

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

Maruno, K., Kajiwara, K., Nakao, S., & Oikawa, M. (1997). Bilinearization of discrete soliton equations and singularity confinement.

*Physics Letters, Section A: General, Atomic and Solid State Physics*,*229*(3), 173-182. https://doi.org/10.1016/S0375-9601(97)00171-0