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26 June 1985, Volume 5 Issue 2 Previous Issue    Next Issue

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SOME TRACE FORMULAS FOR THE SCHRÖDINGER EQUATION WITH ENERGY-DEPENDENT POTENTIAL Cao Cewen, Zhuang Dawei Acta mathematica scientia,Series A. 1985, 5 (2):  233-242.  Abstract ( 44 )   RICH HTML PDF (526KB) ( 21 )   Save The importance of the inverse scattering problem for the Schrödinger equation with energy-dependent potential: y"={ζ2-[u(x)+ζv(x)]}y=0 (1) has been noticed by quite a few authors. Jaulent and Miodek[1] have used it to solve some nonlinear evolution equations with isospectral condition ζt=0. Li and Zhuang[2,3] have further made use of (1) to expand the solvable class of nonlinear evolution equations. Several physical problems in absorption media can be reduced to the inverse scattoring problem of(1) (see[4]). Related Articles | Metrics