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- W310028524 abstract "A comprehensive review of the inverse scattering solution of certain non-linear evolution equations of physical interest in one space dimension is presented. We explain in some detail the interrelated techniques which allow to linearize exactly the following equations: (1) the Korteweg and de Vries equation; (2) the non-linear Schrodinger equation; (3) the modified Korteweg and de Vries equation; (4) the Sine-Gordon equation. We concentrate in discussing the pairs of linear operators which accomplish such an exact linearization and the solution of the associated initial value problem. The application of the method to other non-linear evolution equations is reviewed very briefly." @default.
- W310028524 created "2016-06-24" @default.
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- W310028524 date "1979-08-01" @default.
- W310028524 modified "2023-10-18" @default.
- W310028524 title "Inverse scattering solution of non-linear evolution equations in one space dimension: an introduction" @default.
- W310028524 hasPublicationYear "1979" @default.
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