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单词 Inverse Scattering Method
释义

Inverse Scattering Method

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

See also Ablowitz-Ramani-Segur Conjecture, Bäcklund Transformation


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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