The Zakharov–Shabat inverse spectral problem for operators
Copyright policy )The Zakharov–Shabat inverse spectral problem for operators
Many soliton equations, their solutions and their properties, can be deduced from simpler (essentially linear) equations involving more complicated objects, e.g., integral operators. The deduction process from the operator-valued equation to the scalar one amounts to some rather simple procedure like taking a trace or a determinant. This is described for the class of soliton equations solvable with the Zakharov–Shabat spectral transform.
inverse spectral transform, Applications of operator theory to differential and integral equations, generalized Zakharov-Shabat equations, Other PDE from mechanics, soliton equations, nonlinear evolution equation for operators having a trace
inverse spectral transform, Applications of operator theory to differential and integral equations, generalized Zakharov-Shabat equations, Other PDE from mechanics, soliton equations, nonlinear evolution equation for operators having a trace
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