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.
1992
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/103548
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