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 |
| 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