An update of a Bäcklund transformation and its applications to the Boussinesq system
作者：
Highlights：
• Weierstrass elliptic functions are used to construct the BT which can be regarded as a bridge connecting the BSQ equation with its lattice system.
• A general N-times DT is presented by using the BT of the BSQ equation given in this manuscript and elliptic N-soliton solutions are obtained by applying this DT to an elliptic seed solution.
• A majority of exact solutions in the literature concerns only with soliton solutions that are based on elementary functions, however we focus on elliptic N-soliton solutions and their degenerate forms.
摘要
•Weierstrass elliptic functions are used to construct the BT which can be regarded as a bridge connecting the BSQ equation with its lattice system.•A general N-times DT is presented by using the BT of the BSQ equation given in this manuscript and elliptic N-soliton solutions are obtained by applying this DT to an elliptic seed solution.•A majority of exact solutions in the literature concerns only with soliton solutions that are based on elementary functions, however we focus on elliptic N-soliton solutions and their degenerate forms.
论文关键词：Boussinesq equation,Bäcklund transformation,Darboux transformation,Halphen equation,Elliptic N-soliton solutions
论文评审过程：Received 4 September 2021, Revised 30 December 2021, Accepted 18 January 2022, Available online 1 February 2022, Version of Record 1 February 2022.
论文官网地址：https://doi.org/10.1016/j.amc.2022.126964
