Solutions of the Ablowitz–Kaup–Newell–Segur hierarchy equations of the “rogue wave” type: A unified approach-Reference-Cited by-同舟云学术

Solutions of the Ablowitz–Kaup–Newell–Segur hierarchy equations of the “rogue wave” type: A unified approach

Published:2016-02 Issue:2 Volume:186 Page:156-182
ISSN:0040-5779
Container-title:Theoretical and Mathematical Physics
language:en
Short-container-title:Theor Math Phys

Author:

Matveev V. B.,Smirnov A. O.

Publisher

Pleiades Publishing Ltd

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1134/S0040577916020033.pdf

Reference54 articles.

1. A. R. Its and V. P. Kotljarov, Dokl. Akad. Nauk Ukrain. SSR Ser. A, 11, 965–968 (1976).

2. A. R. Its, Vestn. Leningr. Univ. Mat. Mekh. Astron., 7, 39–46 (1976).

3. E. D. Belokolos, A. I. Bobenko, V. Z. Enol’skii, A. R. Its, and V. B. Matveev, Algebro-Geometrical Approach to Nonlinear Evolution Equations, Springer, Berlin (1994).

4. A. O. Smirnov, Russian Acad. Sci. Sb. Math., 82, 461–470 (1995).

5. A. O. Smirnov, Theor. Math. Phys., 107, 568–578 (1996).

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