Abstract The initiallboundary value problem on the semiline for the Eckhaus equation iY,+Yzx+Z(l'f'12)xY+lY[%'=0, with the initial and boundary data Y(x,O)=Y&),Y(0,r)+Y"(0, r)lY(O,1)'1 =F(I),I>0i is solved,i.e.reduced to a linear integral equation of Volterra type in I. Such an equation is solved by quadratures in the case of a time-independentboundary datum.
Semiline solutions of the Eckhaus equation
DE LILLO, Silvana
1992
Abstract
Abstract The initiallboundary value problem on the semiline for the Eckhaus equation iY,+Yzx+Z(l'f'12)xY+lY[%'=0, with the initial and boundary data Y(x,O)=Y&),Y(0,r)+Y"(0, r)lY(O,1)'1 =F(I),I>0i is solved,i.e.reduced to a linear integral equation of Volterra type in I. Such an equation is solved by quadratures in the case of a time-independentboundary datum.File in questo prodotto:
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