On soliton solutions of multi-component semi-discrete short pulse equation

被引：10

作者：

Riaz, H. Wajahat A. ^{[1
]}

ul Hassan, Mahmood ^{[1
]}

机构：

[1] Univ Punjab, Dept Phys, Quaid e Azam Campus, Lahore 54590, Pakistan

来源：

JOURNAL OF PHYSICS COMMUNICATIONS | 2018年 / 2卷 / 02期

关键词：

discrete integrable systems; solitons; Darboux transformation;

D O I：

10.1088/2399-6528/aaa4e1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The short pulse (SP) equation is an integrable equation. Multi-component generalizations of the SP equation are important for describing the polarization or anisotropic effects in optical fibers. An integrable semi-discretization of multi-component SP equation via Lax pair and Darboux transformation (DT) has been presented. Wederive a Lax pair representation for the multi-component semidiscrete short pulse (sdSP) equation in the form of a block matrices by generalizing the 2 x 2 Lax pair matrices to the case of 2(N) x 2(N). ADTis studied for the multi-component sdSP equation and is used to compute soliton solutions of the system. Further, by expanding quasideterminants, we compute cuspon-soliton, smooth-soliton and loop-soliton solutions of the complex sdSP equation.

引用

页数：13

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