Darboux Transformation and Exact Solution for Novikov Equation

被引：0
|
作者：
Ma, Hongcai [1 ]
Chen, Xiaoyu [2 ]
Deng, Aiping [1 ]
机构：
[1] Donghua Univ, Sch Mathema & Stais, Shanghai 201620, Peoples R China
[2] Donghua Univ, Expt Sch, Shanghai 201620, Peoples R China
来源：
NONLINEAR AND MODERN MATHEMATICAL PHYSICS, NMMP 2022 | 2024年 / 459卷
关键词：
Novikov equation; Darboux transformation; Lax pair; Exact solution; CAUCHY-PROBLEM;
D O I：
10.1007/978-3-031-59539-4_9
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, the lax pair of Novikov equation is given in 3 x 3 matrices form. Based on the spectral problem and the lax pair of Novikov equation, we construct the Darboux transformation and give the theoretical proof. By selecting the appropriate seed solution and using the obtained Darboux transformation, we can acquire the new exact solution of this equation. Finally, three-dimensional distribution and density plots of the new solution are shown. Exact solutions are depend on the different chosen seed solutions.
引用
收藏
页码：221 / 231
页数：11
相关论文
共 50 条
  • [21] Darboux Transformation and Exact Solutions of the Variable Coefficient Nonlocal Newell–Whitehead Equation
    Yuru Hu
    Feng Zhang
    Xiangpeng Xin
    Hanze Liu
    Bulletin of the Malaysian Mathematical Sciences Society, 2022, 45 : 1811 - 1822
  • [22] The Heun equation and the Darboux transformation
    Sirota, YN
    Smirnov, AO
    MATHEMATICAL NOTES, 2006, 79 (1-2) : 244 - 253
  • [23] A Darboux Transformation for Ito Equation
    Niu, Xiaoxing
    Zhang, Mengxia
    Lv, Shuqiang
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2016, 71 (05): : 427 - 431
  • [24] Darboux Transformation for the Hirota Equation
    Yilmaz, Halis
    JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY, 2022, 18 (01) : 136 - 152
  • [25] Darboux Transformation for Tzitzeica Equation
    ZHU Jun-Yi GENG Xian-Guo Department of Mathematics
    CommunicationsinTheoreticalPhysics, 2006, 45 (04) : 577 - 580
  • [26] Darboux transformation of the Schrodinger equation
    Bagrov, VG
    Samsonov, BF
    PHYSICS OF PARTICLES AND NUCLEI, 1997, 28 (04) : 374 - 397
  • [27] Darboux transformation for Tzitzeica equation
    Zhu, JY
    Geng, XG
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2006, 45 (04) : 577 - 580
  • [28] Darboux transformation for the NLS equation
    Aktosun, Tuncay
    van der Mee, Cornelis
    NONLINEAR AND MODERN MATHEMATICAL PHYSICS, 2010, 1212 : 254 - +
  • [29] The Heun Equation and the Darboux Transformation
    Yu. N. Sirota
    A. O. Smirnov
    Mathematical Notes, 2006, 79 : 244 - 253
  • [30] Darboux transformation and soliton solution for generalized Konno-Oono equation
    Bekova, G.
    Shaikhova, G.
    Yesmakhanova, K.
    Myrzakulov, R.
    XXVI INTERNATIONAL CONFERENCE ON INTEGRABLE SYSTEMS AND QUANTUM SYMMETRIES, 2019, 1416
12345