Abstract
Inverse scattering in a universal solution to a class of completely integrable PDEs, which plays a very important role in science. The main limitations of this method are the requirement of “rapid” vanishing of the solutions and the fact that a change in boundary conditions usually requires a guess for the solutions form.
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Melnikov, A., Shusterman, R. (2019). Evolution of Nodes and their Application to Completely Integrable PDEs. In: Alpay, D., Vajiac, M. (eds) Linear Systems, Signal Processing and Hypercomplex Analysis. Operator Theory: Advances and Applications(), vol 275. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-18484-1_8
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DOI: https://doi.org/10.1007/978-3-030-18484-1_8
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-030-18483-4
Online ISBN: 978-3-030-18484-1
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