Comments on the inverse scattering transform and related nonlinear evolution equations

Page 1 In t roduc t ion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2 Methodology of t he Inverse Sca t te r ing Trans fo rm . . . . . . . . . . . . . . . . . . . . . . 6 3 Scat te r ing Opera to r s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 4 The Kor t eweg-de Vries equa t ion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 5 Analy t ic problems associa ted wi th t h e n X n s ca t t e r ing p rob lems . . . . . . . . . . . . . . 13 6 Analy t ic problems associated wi th discrete sca t t e r ing problems . . . . . . . . . . . . . . . 16 7 Analy t ic problem for ILW and B O . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 8 Analy t ic problems for mul t id imens iona l sy s t ems . . . . . . . . . . . . . . . . . . . . . . . 21 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23

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