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Long-Time Asymptotics for the Korteweg–de Vries Equation via Nonlinear Steepest Descent

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Mathematical Physics Analysis and Geometry · 2009 · 137 citations · 22 references

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References

22

Method for Solving the Korteweg-deVries Equation

Clifford S. Gardner, J. M. Greene, Martin D. Kruskal et al. · Physical Review Letters · 1967 · 4.6K citations

, , +17

Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States

Norman J. Zabusky, Martin D. Kruskal · Physical Review Letters · 1965 · 4.1K citations

, , +12

Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons

Ryogo Hirota · Physical Review Letters · 1971 · 3K citations

, , +12

A Steepest Descent Method for Oscillatory Riemann--Hilbert Problems. Asymptotics for the MKdV Equation

Percy Deift, Xin Zhou · Annals of Mathematics · 1993 · 1.4K citations

, , +15

Inverse scattering on the line

Percy Deift, Eugene Trubowitz · Communications on Pure and Applied Mathematics · 1979 · 924 citations

, , +4