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.
CITATION STYLE
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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