TY - JOUR
T1 - On the non-isospectral Kadomtsev-Petviashvili equation with self-consistent sources
AU - Sun, Ye Peng
AU - Tam, Hon Wah
N1 - Funding Information:
The authors would like to express their thanks to the referees for their valuable advice. The authors are also grateful to Professor Hu Xing-Biao for his guidance and ardent help. This work is supported by the Postdoctoral Science Foundation of China, the National Natural Science Foundation of China (grant No. 10771207) and Hong Kong Research Grant Council grant No. HKBU 202007.
PY - 2009/2/15
Y1 - 2009/2/15
N2 - A new procedure called 'source generation' is applied to construct non-isospectral soliton equations with self-consistent sources. As results, the non-isospectral Kadomtsev-Petviashvili equation with self-consistent sources (KPESCS) and its Gramm-type determinant solutions are obtained. Furthermore, the non-isospectral Pfaffianized-KP equation with self-consistent sources is constructed. This coupled system can not only be reduced to the non-isospectral Pfaffianized-KP equation, but also reduced to the non-isospectral KPESCS.
AB - A new procedure called 'source generation' is applied to construct non-isospectral soliton equations with self-consistent sources. As results, the non-isospectral Kadomtsev-Petviashvili equation with self-consistent sources (KPESCS) and its Gramm-type determinant solutions are obtained. Furthermore, the non-isospectral Pfaffianized-KP equation with self-consistent sources is constructed. This coupled system can not only be reduced to the non-isospectral Pfaffianized-KP equation, but also reduced to the non-isospectral KPESCS.
KW - Grammian determinant solution
KW - Non-isospectral KP equation
KW - Pfaffianization
KW - Self-consistent sources
KW - Source generation procedure
UR - http://www.scopus.com/inward/record.url?scp=57049165542&partnerID=8YFLogxK
U2 - 10.1016/j.na.2008.02.037
DO - 10.1016/j.na.2008.02.037
M3 - Journal article
AN - SCOPUS:57049165542
SN - 0362-546X
VL - 70
SP - 1610
EP - 1619
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
IS - 4
ER -