Construction of N-soliton solutions for a new integrable equation by Darboux transformation

被引：1
|
作者：
Bai, Shuting [1 ]
Zhaqilao [1 ]
机构：
[1] Inner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Peoples R China
来源：
MODERN PHYSICS LETTERS B | 2016年 / 30卷 / 30期
基金：
中国国家自然科学基金;
关键词：
Soliton solution; Darboux transformation; integrable soliton equation;
D O I：
10.1142/S0217984916503681
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
In this paper, the relationship between a new integrable equation and well-known KdV equation is established by a set of transformation. With the help of Darboux transformation of KdV equation and the set of transformation, parametric representations of multi-soliton solutions for the new integrable equation are obtained, and their figures are plotted.
引用
收藏
页数：11
相关论文
共 50 条
  • [41] N-soliton solution for an integrable nonlocal discrete focusing nonlinear Schrodiriger equation
    Ma, Li-Yuan
    Zhu, Zuo-Nong
    APPLIED MATHEMATICS LETTERS, 2016, 59 : 115 - 121
  • [42] The novel N-soliton solutions of equation for shallow water waves
    Zhang, Y
    Deng, SF
    Chen, DY
    NONLINEAR EVOLUTION EQUATIONS AND DYNAMICAL SYSTEMS, 2003, : 157 - 163
  • [43] Smooth soliton and kink solutions for a new integrable soliton equation
    Bai, Shuting
    Zhaqilao
    NONLINEAR DYNAMICS, 2017, 87 (01) : 377 - 382
  • [44] N-soliton solutions to the DKP equation and Weyl group actions
    Kodama, Y
    Maruno, KI
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (15): : 4063 - 4086
  • [45] ON RESTRICTED N-SOLITON SOLUTIONS OF THE NONLINEAR SCHRODINGER-EQUATION
    VYSLOUKH, VA
    CHEREDNIK, IV
    THEORETICAL AND MATHEMATICAL PHYSICS, 1987, 71 (01) : 346 - 351
  • [46] N-soliton solutions of general nonlinear Schrodinger equation with derivative
    Zhai Wen
    Chen Deng-Yuan
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2008, 49 (05) : 1101 - 1104
  • [47] EXPLICIT CALCULATION OF N-SOLITON SOLUTIONS OF THE NONLINEAR SCHROEDINGER EQUATION
    SCHRADER, D
    IEEE JOURNAL OF QUANTUM ELECTRONICS, 1995, 31 (12) : 2221 - 2225
  • [48] The N-soliton solutions for the non-isospectral mKdV equation
    Zhang, Y
    Deng, SF
    Zhang, DJ
    Chen, DY
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2004, 339 (3-4) : 228 - 236
  • [49] N-soliton solutions in the higher order nonlinear Schrodinger equation
    Li, ZH
    Zhou, GS
    Su, DC
    FIBER OPTIC COMPONENTS AND OPTICAL COMMUNICATIONS II, 1998, 3552 : 226 - 231
  • [50] Darboux transformation of a new generalized nonlinear Schrodinger equation: soliton solutions, breather solutions, and rogue wave solutions
    Tang, Yaning
    He, Chunhua
    Zhou, Meiling
    NONLINEAR DYNAMICS, 2018, 92 (04) : 2023 - 2036
12345