IST versus PDE: A comparative study

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Abstract

We survey and compare, mainly in the two-dimensional case, various results obtained by IST and PDE techniques for integrable equations. We also comment on what can be predicted from integrable equations on non integrable ones.

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Klein, C., & Saut, J. C. (2015). IST versus PDE: A comparative study. In Hamiltonian Partial Differential Equations and Applications (Vol. 75, pp. 383–449). Springer New York. https://doi.org/10.1007/978-1-4939-2950-4_14

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