An update of a Backlund transformation and its applications to the Boussinesq system

被引：5

作者：

Sun, Ying-ying ^{[1
]}

Sun, Wan-yi ^{[1
]}

机构：

[1] Univ Shanghai Sci & Technol, Dept Math, Shanghai 200093, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2022年 / 421卷

关键词：

Boussinesq equation; Backlund transformation; Darboux transformation; Halphen equation; Elliptic N -soliton solutions; N-SOLITON SOLUTION; CLASSIFICATION; EQUATIONS; DISCRETE; LATTICE;

D O I：

10.1016/j.amc.2022.126964

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

There are two main aims of this paper. One is to present a Backlund transformation which connects the continuous to discrete Boussinesq system. We note that it is an update of Backlund transformation given in [1] . The other one is to apply this Backlund transformation to establish the Lax pair and N-times Darboux transformation for the continuous Boussinesq equation. Starting from an elliptic seed solution, the Darboux transformation is used to construct explicit solutions. Dynamics of the solutions obtained from 1-time Darboux transformation are analyzed and illustrated.(c) 2022 Elsevier Inc. All rights reserved.

引用

页数：14

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