Abstract
An alternate form of discrete potential Boussinesq (BSQ) equation is proposed and its multisoliton solutions are constructed. An ultradiscrete potential BSQ equation is also obtained from the discrete potential BSQ equation using the ultradiscretization technique. The detail of the multisoliton solutions is discussed by using the reduction technique. The lattice potential BSQ equation derived by Nijhoff et al. is also investigated by using the singularity confinement test. The relation between the proposed alternate discrete potential BSQ equation and the lattice potential BSQ equation by Nijhoff et al. is clarified.
| Original language | English |
|---|---|
| Pages (from-to) | 593-609 |
| Number of pages | 17 |
| Journal | Applicable Analysis |
| Volume | 89 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2010 Apr |
| Externally published | Yes |
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Keywords
- Bilinear equations
- Discrete potential Boussinesq equation
- Multisoliton solutions
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
Cite this
The discrete potential Boussinesq equation and its multisoliton solutions. / Maruno, Kenichi; Kajiwara, Kenji.
In: Applicable Analysis, Vol. 89, No. 4, 04.2010, p. 593-609.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - The discrete potential Boussinesq equation and its multisoliton solutions
AU - Maruno, Kenichi
AU - Kajiwara, Kenji
PY - 2010/4
Y1 - 2010/4
N2 - An alternate form of discrete potential Boussinesq (BSQ) equation is proposed and its multisoliton solutions are constructed. An ultradiscrete potential BSQ equation is also obtained from the discrete potential BSQ equation using the ultradiscretization technique. The detail of the multisoliton solutions is discussed by using the reduction technique. The lattice potential BSQ equation derived by Nijhoff et al. is also investigated by using the singularity confinement test. The relation between the proposed alternate discrete potential BSQ equation and the lattice potential BSQ equation by Nijhoff et al. is clarified.
AB - An alternate form of discrete potential Boussinesq (BSQ) equation is proposed and its multisoliton solutions are constructed. An ultradiscrete potential BSQ equation is also obtained from the discrete potential BSQ equation using the ultradiscretization technique. The detail of the multisoliton solutions is discussed by using the reduction technique. The lattice potential BSQ equation derived by Nijhoff et al. is also investigated by using the singularity confinement test. The relation between the proposed alternate discrete potential BSQ equation and the lattice potential BSQ equation by Nijhoff et al. is clarified.
KW - Bilinear equations
KW - Discrete potential Boussinesq equation
KW - Multisoliton solutions
UR - http://www.scopus.com/inward/record.url?scp=77950884012&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77950884012&partnerID=8YFLogxK
U2 - 10.1080/00036810903569473
DO - 10.1080/00036810903569473
M3 - Article
AN - SCOPUS:77950884012
VL - 89
SP - 593
EP - 609
JO - Applicable Analysis
JF - Applicable Analysis
SN - 0003-6811
IS - 4
ER -