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19972026
most citedUniversality of the break-up profile for the KdV equation in the small dispersion limit using the Riemann-Hilbert approach

82 citations · 523 across the 45 of their papers we have counts for

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math.AP2007

On universality of critical behaviour in the focusing nonlinear Schrödinger equation, elliptic umbilic catastrophe and the {\it tritronquée} solution to the Painlevé-I equation

B. Dubrovin, T. Grava, C. Klein

We argue that the critical behaviour near the point of ``gradient catastrophe" of the solution to the Cauchy problem for the focusing nonlinear Schrödinger equation $ iεψ_t +\frac{…