Asymptotics of semiclassical soliton ensembles: Rigorous justification of the WKB approximation

International Mathematics Research Notices

Volumn , Issue 8, 2002, Pages

  Miller, Peter D ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

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[No Author keywords available]

Indexed keywords

EID: 0036335780     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

1. The Toda rarefaction problem
2. Strong asymptotics of orthogonal polynomials with respect to exponential weights
3. The collisionless shock region for the long-time behavior of solutions of the KdV equation
4. A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
5. The isomonodromy approach to matrix models in 2D quantum gravity
6. Semiclassical soliton ensembles for the focusing nonlinear Schrödinger equation
7. Zero distributions for discrete orthogonal polynomials
8. The small dispersion limit of the Korteweg-de Vries equation. I
9. The small dispersion limit of the Korteweg-de Vries equation. II
10. The small dispersion limit of the Korteweg-de Vries equation. III
11. The Korteweg-de Vries equation with small dispersion: Higher order Lax-Levermore theory
12. Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media