Inverse Scattering Method

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 u(x,t) and various of their derivatives must approach zero as x->+/-infty (Infeld and Rowlands 2000).

See also

Ablowitz-Ramani-Segur Conjecture, Bäcklund Transformation

Explore with Wolfram|Alpha


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.

Subject classifications