A method which can be used to solve the initial value problem for certain classes of nonlinear Partial Differential Equations. The method reduces the initial value problem to a linear Integral Equation in which time appears only implicitly. However, the solutions and various of their derivatives must approach zero as (Infeld and Rowlands 1990).

**References**

Infeld, E. and Rowlands, G. ``Inverse Scattering Method.'' §7.4 in
*Nonlinear Waves, Solitons, and Chaos.* Cambridge, England: Cambridge University Press, pp. 192-196, 1990.

Miura, R. M. (Ed.) *Bäcklund Transformations, the Inverse Scattering Method, Solitons, and Their Applications*.
New York: Springer-Verlag, 1974.

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1999-05-26