Quasi-Grammian loop dynamics of a multicomponent semidiscrete short pulse equation

IF 1 4区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL
A. Inam, M. ul Hassan
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引用次数: 0

Abstract

A semidiscrete short-pulse equation (sdSPE) is presented via a proposed Lax pair. A multicomponent sdSPE is derived using \(2^M\times 2^M\) Lax matrices. The standard binary Darboux transformation (SBDT) is employed by constructing the Darboux matrices from particular eigenvector solutions of the generalized Lax pair not only in the direct space but also in its adjoint space. Explicit expressions of the first- and second-order nontrivial quasi-Grammian loop solutions of the multicomponent sdSPE are computed, by iterating its SBDT. It is also shown that quasi-Grammian loop solutions reduce to the elementary loop solutions by applying reduction of spectral parameters.

多分量半离散短脉冲方程的准格拉米亚环路动力学
通过一个拟议的 Lax 对,提出了一个半离散短脉冲方程(sdSPE)。使用(2^M/times 2^M\) Lax 矩阵推导出了多分量 sdSPE。通过从广义 Lax 对的特定特征向量解中构造 Darboux 矩阵,不仅在直接空间,而且在其邻接空间中都使用了标准二进制 Darboux 变换(SBDT)。通过迭代其 SBDT,计算出了多分量 sdSPE 的一阶和二阶非难准格拉米亚环解的明确表达式。研究还表明,通过减少谱参数,准格拉米亚环解可以简化为基本环解。
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来源期刊
Theoretical and Mathematical Physics
Theoretical and Mathematical Physics 物理-物理:数学物理
CiteScore
1.60
自引率
20.00%
发文量
103
审稿时长
4-8 weeks
期刊介绍: Theoretical and Mathematical Physics covers quantum field theory and theory of elementary particles, fundamental problems of nuclear physics, many-body problems and statistical physics, nonrelativistic quantum mechanics, and basic problems of gravitation theory. Articles report on current developments in theoretical physics as well as related mathematical problems. Theoretical and Mathematical Physics is published in collaboration with the Steklov Mathematical Institute of the Russian Academy of Sciences.
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