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 |
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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
Bilinearization of discrete soliton equations and singularity confinement. / Maruno, Kenichi; Kajiwara, Kenji; Nakao, Shinichiro; Oikawa, Masayuki.
In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 229, No. 3, 12.05.1997, p. 173-182.Research output: Contribution to journal › Article
}
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
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 -