GAUGE TRANSFORMATIONS IN SOLITON THEORY

The concept of gauge transformation in soliton theory is introduced. It is shown that three different eigenvalue problems in 2×2 matrix form are connected by the gauge transformations. As an application of the theory, the interrelations among the nonlinear Schrodinger equation, the derivative nonlinear Schrodinger equation, isotropic Heisenberg equation and a new integrable equation are studied.