Abstract
A description in terms of one and the same inhomogeneous linear integral equation is proposed for the solutions of the nonlinear Schrödinger equation and the equation of motion of the isotropic classical Heisenberg spin chain. In addition it is show that the integral equation introduced by Fokas and Ablowitz for the Korteweg-de Vries equation yields the solutions of the modified Korteweg-de Vries equation as well.
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