The toda rarefaction problem

Communications on Pure and Applied Mathematics

Volumn 49, Issue 1, 1996, Pages 35-83

  Deift, Percy ^a   Kamvissis, Spyridon ^d   Kriecherbauer, Thomas ^b   Zhou, Xin ^c  

^a NEW YORK UNIVERSITY   (United States)

^b UNIVERSITY OF MUNICH   (Germany)

^c DUKE UNIVERSITY   (United States)

^d NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030539847     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0312(199601)49:1<35::AID-CPA2>3.0.CO;2-8     Document Type: Article

References (11)

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4. Clancey, K., and Gohberg, I. Factorization of matrix functions and singular integral operators, in: Operator Theory: Advances and Applications, vol. 3, Birkhäuser, Basel, 1981.
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6. Deift, P., and Zhou, X., A steepest descent method for oscillatory Riemann-Hilbert problems: Asymptotics for the MKdV equation, Ann. of Math. 137, 1993, pp. 295-368.
7. Holian, B. L., Flaschka, H., and McLaughlin, D. W., Shock waves in the Toda lattice: Analysis, Phys. Rev. A 24, 1981, pp. 2595-2623.
8. Kamvissis, S., On the Toda shock problem, Physica D 65, 1993, pp. 242-266.
9. Kamvissis, S., Long time behavior of the doubly infinite Toda lattice under initial data decaying at infinity, Comm. Math. Phys. 153, 1993, pp. 479-519.
10. Oba, R., Doubly Infinite Toda Lattice with Antisymmetric Asymptotics, Doctoral Dissertation, Courant Institute of Mathematical Sciences, New York University, 1988.
11. Venakides, S., Deift, P., and Oba, R., The Toda shock problem, Comm. Pure Appl. Math. 44, 1991, pp. 1171-1242.