TY - JOUR
T1 - On the (2 + 1)-dimensional Gardner equation
T2 - Determinant solutions and pfaffianization
AU - Yu, Guo Fu
AU - Tam, Hon Wah
N1 - Funding Information:
✩ This work was supported by the National Natural Science Foundation of China (Grant No. 10471139), CAS President Grant, the Knowledge Innovation Program of Institute of Computational Mathematics, AMSS, Chinese Academy of Sciences, and Hong Kong Research Grant Council Grant Nos. HKBU2016/03P and HKBU2016/05P. * Corresponding author. E-mail address: [email protected] (G.-F. Yu).
PY - 2007/6/15
Y1 - 2007/6/15
N2 - In this paper, we first present the Casorati and Grammian determinant solutions to the (2 + 1)-dimensional Gardner equation. Then, by using the pfaffianization procedure of Hirota and Ohta, a new integrable coupled system is generated from the Gardner equation. Moreover, Gramm-type pfaffian solutions to the pfaffianized system are proposed.
AB - In this paper, we first present the Casorati and Grammian determinant solutions to the (2 + 1)-dimensional Gardner equation. Then, by using the pfaffianization procedure of Hirota and Ohta, a new integrable coupled system is generated from the Gardner equation. Moreover, Gramm-type pfaffian solutions to the pfaffianized system are proposed.
KW - Casorati solution
KW - Grammian determinant
KW - Pfaffian
KW - Soliton
UR - http://www.scopus.com/inward/record.url?scp=33847618870&partnerID=8YFLogxK
U2 - 10.1016/j.jmaa.2006.08.021
DO - 10.1016/j.jmaa.2006.08.021
M3 - Journal article
AN - SCOPUS:33847618870
SN - 0022-247X
VL - 330
SP - 989
EP - 1001
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 2
ER -