TY - JOUR
T1 - Conserved quantities of two-component KP hierarchy
AU - Kajiwara, Kenji
AU - Matsukidaira, Junta
AU - Satsuma, Junkichi
PY - 1990/5/14
Y1 - 1990/5/14
N2 - The two-component KP hierarchy is considered. It is shown that the Davey-Stewartson equation is the simplest nontrivial equation in the hierarchy, and that the nonlinear Schrödinger equation, its higher order extension and the modified KdV equation are derived from suitable reductions of the hierarchy. By using this fact, conserved quantities of those equations are explicitly given.
AB - The two-component KP hierarchy is considered. It is shown that the Davey-Stewartson equation is the simplest nontrivial equation in the hierarchy, and that the nonlinear Schrödinger equation, its higher order extension and the modified KdV equation are derived from suitable reductions of the hierarchy. By using this fact, conserved quantities of those equations are explicitly given.
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U2 - 10.1016/0375-9601(90)90647-7
DO - 10.1016/0375-9601(90)90647-7
M3 - Article
AN - SCOPUS:0006310231
SN - 0375-9601
VL - 146
SP - 115
EP - 118
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 3
ER -