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 2000).

# Inverse Scattering Method

## See also

Ablowitz-Ramani-Segur Conjecture, Bäcklund Transformation## Explore with Wolfram|Alpha

## References

Infeld, E. and Rowlands, G. "Inverse Scattering Method." §7.4 in*Nonlinear Waves, Solitons, and Chaos, 2nd ed.*Cambridge, England: Cambridge University Press, pp. 173-175, 2000.Miura, R. M.(Ed.).

*Bäcklund Transformations, the Inverse Scattering Method, Solitons, and Their Applications.*New York: Springer-Verlag, 1974.

## Referenced on Wolfram|Alpha

Inverse Scattering Method## Cite this as:

Weisstein, Eric W. "Inverse Scattering Method."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/InverseScatteringMethod.html