Hierarchies of Coupled Soliton Equations. I
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概要
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are expressed by two types of pfaffians. The first expression is r=(0, 1,? f ?, 2N - l),(7=(0, l,??=,2.N -3), a=(0, 1,???,27V-El) where (l,m) elements are characterizedby the differential rules, (8/8x.)(l,m)=(l-Fn,m)-I-(l,m'rn). The second one isr=(1,2,-?-, 2N), o=(c.,c., 1,2,=-,'2,N), cr=(d.,d, 1,2,??-,2,N), where (i, 7)elements are siven bV (i,J)=Cz.tA-1"Cf(J? ftflz)C3Xn, ('77= Czv, Cd.,l)=C8'/8XT)f,(c., i ) = (8'/ 8x: ) g, (d., d,.) = (c., c.,) = 0, where f and g, satisfy the linear differentialequations, (8/8x.)f=(8'/8x':)f, (8/8x.)g,=( - 1)" (c)'/ 8x7)g,. In special cases,these solutions are reduced to the solutions of the KP and BKP hierarchies.
- 1991-03-15
著者
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Hirota Ryogo
Department Of Applied Mathematics Faculty Of Engineering Hiroshima University
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Ohta Yasuhiro
Department Of Applied Mathematics Faculty Of Engineering Hiroshima University
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