A Proof of the Soliton Resolution Conjecture for the Focusing Nonlinear Schrödinger Equation
We give a proof of the long-time asymptotic behavior of the focusing nonlinear Schrödinger equation for generic initial condition in which we have simple discrete spectral data and an absence of spectral singularities. The proof relies upon the theory of Riemann-Hilbert problems and the ∂ ̄ method f...
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| Language: | en_US |
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The University of Arizona.
2017
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| Online Access: | http://hdl.handle.net/10150/624578 http://arizona.openrepository.com/arizona/handle/10150/624578 |