摘要A simple derivation of the Marchenko equation is given for the derivative nonlinear Schrodinger equation. The kernel of the Marchenko equation is demanded to satisfy the conditions given by the compatibility equations. The soliton solutions to the Marchenko equation are verified. The derivation is not concerned with the revisions of Kaup and Newell.
Abstract：A simple derivation of the Marchenko equation is given for the derivative nonlinear Schrodinger equation. The kernel of the Marchenko equation is demanded to satisfy the conditions given by the compatibility equations. The soliton solutions to the Marchenko equation are verified. The derivation is not concerned with the revisions of Kaup and Newell.
[1] Kaup D J and Newell A C 1978 J. Math. Phys. 19 798 [2] Kawata T and Inoue H 1978 J. Phys. Soc. Jpn. 44 1968 [3] Mj\o lhus E 1989 Phys. Scripta 40 277 [4] Mj\o lhus E and Hada T 1997 Nonlinear Waves and Chaos inSpace Plasmas ed Hada T and Matsumoto H (Tokyo: Terrapub) p 121 [5] Ruderman M S 2002 J. Plasma Phys. 67 271 [6] Chen X J and Lam W K 2004 Phys. Rev. E 69 066604 [7] Cai H and Huang N N 2005 Physica D 202 60 [8] Chen X J, Yang J and Lam W K 2006 J. Phys. A: Math. Gen. 39 3263 [9] Chen X J, Hou L J and Lam W K 2005 Chin. Phys. Lett. 22 830
2007, Vol. 24 
