Journal
PHYSICS LETTERS A
Volume 379, Issue 1-2, Pages 16-22Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2014.10.028
Keywords
Hirota equation; Riemann-Hilbert problem; Deift-Zhou higher order theory
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Funding
- National Natural Science Foundation of China [11271079]
- Doctoral Programs Foundation of the Ministry of Education of China [20120071110001]
- Hujiang Foundation of China [B14005]
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In this paper, the Deift-Zhou higher order asymptotic theory is used to further establish the full asymptotic expansion for the solution of the Hirota equation to all order, as t -> infinity. The method is rigorous and does not rely on an a priori ansatz for the form of the solution. (C) 2014 Elsevier B.V. All rights reserved.
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