Abstract
One of the main analytical achievements of the inverse spectral method is the implementation of global asymptotic analysis of the integrable nonlinear equations. This includes the explicit calculation of the asymptotics for the solution of the Cauchy problem, the explicit description of the connection formulae for the asymptotics in different regions, etc. The efficiency of the inverse spectral method for studying these questions was first demonstrated in the work of V.E. Zakharov and S.V. Manakov [1].
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Fokas, A.S., Its, A.R., Kitaev, A.V. (1993). Non-Perturbative Two-Dimensional Quantum Gravity and the Isomonodromy Method. In: Fokas, A.S., Kaup, D.J., Newell, A.C., Zakharov, V.E. (eds) Nonlinear Processes in Physics. Springer Series in Nonlinear Dynamics . Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77769-1_18
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DOI: https://doi.org/10.1007/978-3-642-77769-1_18
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