Inverse Scattering of First-Order Systems in the Plane Related to Nonlinear Multidimensional Equations
- 4 July 1983
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 51 (1), 3-6
- https://doi.org/10.1103/physrevlett.51.3
Abstract
A method for solving the inverse problem of certain hyperbolic as well as elliptic systems of equations in the plane is given. This result can be used to linearize the initial-value problem of several physically significant nonlinear evolution equations in two spatial and one temporal dimension.
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