DARBOUX TRANSFORMATION OF TWO NOVEL TWO-COMPONENT GENERALIZED COMPLEX SHORT PULSE EQUATIONS

被引：0
|
作者：
LI, X. I. N. Y. U. E. [1 ]
Zhang, Z. H. I. X. I. N. [1 ]
Zhao, Q. I. U. L. A. N. [1 ]
LI, C. H. U. A. N. Z. H. O. N. G. [1 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China
来源：
REPORTS ON MATHEMATICAL PHYSICS | 2022年 / 90卷 / 02期
关键词：
generalized complex short pulse equation; coupled generalized complex short pulse equations; Darboux transformation; generalized Darboux transformation; higher-order semi-rational soliton solutions;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The short pulse equation is able to describe ultra short pulse, which plays a crucial part in the field of optical fiber propagation. In this paper, we investigate a generalized complex short pulse equation and its two-component generalization. We first prove that they are Lax integrable. Subsequently, we obtain their new Lax pairs through hodograph transformation to carry out Darboux transformation, respectively. For the generalized complex short pulse equation, we provide a different Darboux matrix and verify that it is feasible, then we focus on higher-order semi-rational soliton solutions by means of generalized Darboux transformation. For the coupled generalized complex short pulse equations, we apply Darboux transformation to discuss exact solutions by choosing different seed solutions.
引用
收藏
页码：157 / 184
页数：28
相关论文
共 50 条
  • [21] Two-component pulse in uniaxial media
    Guram T. Adamashvili
    The European Physical Journal D, 2020, 74
  • [22] Two-component generalized nonlinear Schrodinger equations and their soliton and breather solutions
    Li, Xinyue
    Zhao, Jiale
    Zhao, Qiulan
    PHYSICA SCRIPTA, 2023, 98 (09)
  • [23] Multi-soliton solutions of a two-component Camassa–Holm system:Darboux transformation approach
    Gaihua Wang
    Nianhua Li
    Q P Liu
    CommunicationsinTheoreticalPhysics, 2020, 72 (04) : 25 - 30
  • [24] Two-component coupled KdV equations and its connection with the generalized Harry Dym equations
    Popowicz, Ziemowit
    JOURNAL OF MATHEMATICAL PHYSICS, 2014, 55 (01)
  • [25] N-fold Darboux transformation of the two-component Kundu–Eckhaus equations and non-symmetric doubly localized rogue waves
    Deqin Qiu
    Wenguang Cheng
    The European Physical Journal Plus, 135
  • [26] Darboux transformation and explicit solutions for two integrable equations
    Zhaqilao
    Qiao, Zhijun
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 380 (02) : 794 - 806
  • [27] Novel Approach to Two-Component Analysis Based on the Generalized Calibration Strategy
    Chocholous, Petr
    Wieczorek, Marcin
    Swit, Pawel
    Kozak, Joanna
    Solich, Petr
    Koscielniak, Pawel
    ANALYTICAL LETTERS, 2017, 50 (04) : 617 - 628
  • [28] On integrability of the Yao-Zeng two-component short-pulse equation
    Brunelli, J. C.
    Sakovich, S.
    PHYSICS LETTERS A, 2012, 377 (1-2) : 80 - 82
  • [29] The higher grading structure of the WKI hierarchy and the two-component short pulse equation
    G. S. França
    J. F. Gomes
    A. H. Zimerman
    Journal of High Energy Physics, 2012
  • [30] Fundamental and Generalized Solutions of the Equations of Motion of a Two-Component Biot Medium and Their Properties
    Alexeyeva, L. A.
    Kurmanov, E. B.
    DIFFERENTIAL EQUATIONS, 2020, 56 (04) : 438 - 446
12345