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Nonlinear Evolution Equations Associated with the Chiral Field Spectral Problem

机译:与手征场谱问题相关的非线性发展方程

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The class of nonlinear evolution equations associated with the linear problem Psi x = Lambda A Psi is derived. It turns out that the chiral field equation, the nonlinear Klein-Gordon equations, the Heisenberg and Papanicolau spin chain models, the modified Boussinesq equation, and the Wadati-Konno-Ichikawa equations pertain to this class. The Backlund transformations for such a class are used to derive the one-soliton solution in a special case.

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