BC \(_r\)：减少修改KP层次结构

IF 1.4 3区数学 Q1 MATHEMATICS

Analysis and Mathematical Physics Pub Date : 2025-04-06 DOI:10.1007/s13324-025-01052-y

Haiyan Kang, Shen Wang, Jipeng Cheng

引用次数: 0

摘要

本文引入了一类修正KP层次的约简，这里称之为BC \(_r\) -修正KP层次\((r\ge 0)\)，因为它包含了作为特例的修正BKP和修正CKP层次。对于BC \(_r\) -修正KP层次，我们讨论了Lax方程和双线性描述，并研究了相应的等价性。

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BC\(_r\): reductions of modified KP hierarchy

In this paper, one class of reductions of modified KP hierarchy is introduced, which is called the BC\(_r\)–modified KP hierarchy \((r\ge 0)\) here, since it contains modified BKP and modified CKP hierarchies as special cases. For BC\(_r\)–modified KP hierarchy, we discuss Lax equations and bilinear descriptions, where the corresponding equivalence is also investigated.

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来源期刊

Analysis and Mathematical Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

0.00%

发文量

122

期刊介绍： Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.