椭圆孤子和“反常波”

IF 0.7 4区数学 Q2 MATHEMATICS

St Petersburg Mathematical Journal Pub Date : 2022-05-05 DOI:10.1090/spmj/1713

V. Matveev, A. Smirnov

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引用次数: 0

摘要

结果表明，通过探索与KdV层次的椭圆解对应的光谱曲线，可以得到AKNS层次方程的椭圆解。这也允许我们得到AKNS层次方程的拟定解和三角解作为上述椭圆解的极限情况。

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Elliptic solitons and “freak waves”

It is shown that elliptic solutions to the AKNS hierarchy equations can be obtained by exploring spectral curves that correspond to elliptic solutions of the KdV hierarchy. This also allows one to get the quasirational and trigonometric solutions for AKNS hierarchy equations as a limit case of the elliptic solutions mentioned above.

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来源期刊

St Petersburg Mathematical Journal MATHEMATICS-

CiteScore

1.00

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.