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

页数：11

共 50 条

[41] Riemann Hilbert approach and N-soliton solutions for the generalized nonlinear Schrodinger equation
Ma, Xi
Xia, Tie-cheng
PHYSICA SCRIPTA, 2019, 94 (09)
[42] ON THE INTEGRABLE SYMPLECTIC MAP AND THE N-SOLITON SOLUTION OF THE TODA LATTICE
Shi, Leilei
Du, Dianlou
THEORETICAL AND MATHEMATICAL PHYSICS, 2023, 215 (01) : 520 - 539
[43] Darboux transformation and soliton solutions for a three-component modified Korteweg-de Vries equation
Wurile
Zhaqilao
WAVE MOTION, 2019, 88 : 73 - 84
[44] Nonlocal continuous Hirota equation: Darboux transformation and symmetry broken and unbroken soliton solutions
Li, Na-Na
Guo, Rui
NONLINEAR DYNAMICS, 2021, 105 (01) : 617 - 628
[45] Darboux transformation and explicit solutions for two integrable equations
Zhaqilao
Qiao, Zhijun
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 380 (02) : 794 - 806
[46] Nonlocal continuous Hirota equation: Darboux transformation and symmetry broken and unbroken soliton solutions
Na-Na Li
Rui Guo
Nonlinear Dynamics, 2021, 105 : 617 - 628
[47] Soliton solutions, Darboux transformation of the variable coefficient nonlocal Fokas-Lenells equation
Zhang, Xi
Wang, Yu-Feng
Yang, Sheng-Xiong
NONLINEAR DYNAMICS, 2024, 112 (04) : 2869 - 2882
[48] Darboux transformation and soliton solutions of the spatial discrete coupled complex short pulse equation
Sun, Hong-Qian
Zhu, Zuo-Nong
PHYSICA D-NONLINEAR PHENOMENA, 2022, 436
[49] Riemann–Hilbert approach and N-soliton solutions for a new two-component Sasa–Satsuma equation
Jia Wang
Ting Su
Xianguo Geng
Ruomeng Li
Nonlinear Dynamics, 2020, 101 : 597 - 609
[50] Darboux transformation and explicit solutions for the integrable sixth-order KdV equation for nonlinear waves
Wen, Xiao-Yong
Gao, Yi-Tian
Wang, Lei
APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (01) : 55 - 60

← 1 2 3 4 5 →