N-SOLITON SOLUTIONS AND CONSERVATION LAWS OF THE MODIFIED TODA LATTICE EQUATION

被引：12
|
作者：
Wen, Xiao-Yong [1 ]
机构：
[1] Beijing Informat Sci & Technol Univ, Dept Math, Coll Sci, Beijing 100192, Peoples R China
来源：
MODERN PHYSICS LETTERS B | 2012年 / 26卷 / 06期
基金：
中国国家自然科学基金; 北京市自然科学基金;
关键词：
Modified Toda lattice equation; N-fold Darboux transformation; conservation laws; symbolic computation; DIFFERENTIAL-DIFFERENCE EQUATIONS; DARBOUX TRANSFORMATION; INTEGRABLE SYSTEMS; HIERARCHY;
D O I：
10.1142/S0217984911500321
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
The modified Toda lattice equation is investigated via Darboux transformation (DT) technique, the N-fold DT is constructed based on its Lax representation. The N-soliton solutions are also derived via the resulting N-fold DT. Soliton structures and interaction behavior of those solutions are shown graphically. Finally, the infinitely many conservation laws for that system are given.
引用
收藏
页数：14
相关论文
共 50 条
  • [21] Construction of N-soliton solutions for a new integrable equation by Darboux transformation
    Bai, Shuting
    Zhaqilao
    MODERN PHYSICS LETTERS B, 2016, 30 (30):
  • [22] A unified and explicit construction of N-soliton solutions for the nonlinear Schrodinger equation
    Fan, EG
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2001, 36 (04) : 401 - 404
  • [23] mKdV Equation on Time Scales: Darboux Transformation and N-Soliton Solutions
    Jin, Baojian
    Fang, Yong
    Sang, Xue
    AXIOMS, 2024, 13 (09)
  • [24] Conservation laws and soliton solutions for generalized seventh order KdV equation
    Yao, RX
    Xu, GQ
    Li, ZB
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2004, 41 (04) : 487 - 492
  • [25] Soliton solutions, Painleve analysis and conservation laws for a nonlinear evolution equation
    Rizvi, S. T. R.
    Seadawy, Aly R.
    Younis, Muhammad
    Ali, Ijaz
    Althobaiti, S.
    Mahmoud, Samy F.
    RESULTS IN PHYSICS, 2021, 23
  • [26] Conservation Laws and Soliton Solutions for Generalized Seventh Order KdV Equation
    YAO Ruo-Xia~(1
    Communications in Theoretical Physics, 2004, 41 (04) : 487 - 492
  • [27] Modulation instability, conservation laws and soliton solutions for an inhomogeneous discrete nonlinear Schrodinger equation
    Hao, Hui-Qin
    Guo, Rui
    Zhang, Jian-Wen
    NONLINEAR DYNAMICS, 2017, 88 (03) : 1615 - 1622
  • [28] N-soliton solutions, Backlund transformation and conservation laws for the integro-differential nonlinear Schrobinger equation from the isotropic inhomogeneous Heisenberg spin magnetic chain
    Wang, Pan
    Tian, Bo
    Liu, Wen-Jun
    Sun, Kun
    COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2014, 54 (04) : 727 - 743
  • [29] CONSERVATION LAWS AND LINE SOLITON SOLUTIONS OF A FAMILY OF MODIFIED KP EQUATIONS
    Anco, Stephen C.
    Luz Gandarias, Maria
    Recio, Elena
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2020, 13 (10): : 2655 - 2665
  • [30] Bright N-Soliton Solutions to the Vector Hirota Equation from Nonlinear Optics with Symbolic Computation
    Xu, Tao
    Tian, Bo
    Qi, Feng-Hua
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2012, 67 (1-2): : 39 - 49
12345