Dispersionless version of the multicomponent KP hierarchy revisited

被引：0

作者：

Zabrodin, A. ^{[1
,2
,3
]}

机构：

[1] Skolkovo Inst Sci & Technol, Moscow 143026, Russia

[2] Natl Res Univ, Higher Sch Econ, 20 Myasnitskaya Ulitsa, Moscow 101000, Russia

[3] NRC Kurchatov Inst, Moscow, Russia

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2024年 / 467卷

关键词：

Dispersionless integrable hierarchies; Multicomponent KP hierarchy; Trigonometric parametrization; EQUATIONS;

D O I：

10.1016/j.physd.2024.134286

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We revisit dispersionless version of the multicomponent KP hierarchy considered previously by Takasaki and Takebe. In contrast to their study, we do not fix any distinguished component treating all of them on equal footing. We obtain nonlinear equations for dispersionless tau-function (the F-function) and represent them using the trigonometric parametrization. In this trigonometric uniformization the equations considerably simplify and acquire a nice form.

引用

页数：4

共 9 条

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