Eigenvalue estimates for the scattering problem associated to the sine-Gordon equation
نویسندگان
چکیده
One of the difficulties associated with the scattering problems arising in connection with integrable systems is that they are frequently non-self-adjoint, making it difficult to determine where the spectrum lies. In this paper, we consider the problem of locating and counting the discrete eigenvalues associated with the scattering problem for which the sine-Gordon equation is the isospectral flow. In particular, suppose that ut(x, 0) = 0 (an initially stationary pulse) with u(x, 0) ∈ C(R), sin “
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