TY - JOUR
T1 - Multi-component generalizations of the Hirota-Satsuma coupled KdV equation
AU - Chen, Junchao
AU - Chen, Yong
AU - Feng, Bao Feng
AU - Zhu, Hanmin
PY - 2014/11
Y1 - 2014/11
N2 - In this paper, we consider multi-component generalizations of the Hirota-Satsuma coupled Korteweg-de Vries (KdV) equation. By introducing a Lax pair, we present a matrix generalization of the Hirota-Satsuma coupled KdV equation, which is shown to be reduced to a vector Hirota-Satsuma coupled KdV equation. By using Hirota's bilinear method, we find a few soliton solutions to the vector Hirota-Satsuma coupled KdV equation in a symmetric case. Finally, in this symmetric case, we give a multi-soliton solution expressed by pfaffians and prove it by pfaffian techniques.
AB - In this paper, we consider multi-component generalizations of the Hirota-Satsuma coupled Korteweg-de Vries (KdV) equation. By introducing a Lax pair, we present a matrix generalization of the Hirota-Satsuma coupled KdV equation, which is shown to be reduced to a vector Hirota-Satsuma coupled KdV equation. By using Hirota's bilinear method, we find a few soliton solutions to the vector Hirota-Satsuma coupled KdV equation in a symmetric case. Finally, in this symmetric case, we give a multi-soliton solution expressed by pfaffians and prove it by pfaffian techniques.
KW - Hirota-Satsuma coupled KdV equation
KW - Lax pair
KW - Multi-component generalizations
KW - Multi-soliton solution
KW - Pfaffian
UR - https://www.scopus.com/pages/publications/84901976008
U2 - 10.1016/j.aml.2014.05.003
DO - 10.1016/j.aml.2014.05.003
M3 - 文章
AN - SCOPUS:84901976008
SN - 0893-9659
VL - 37
SP - 15
EP - 21
JO - Applied Mathematics Letters
JF - Applied Mathematics Letters
ER -