Bäcklund Transformation, Lax Pair and Solitons of the (2+1)-dimensional Davey-Stewartson-like Equations with Variable Coefficients for the Electrostatic Wave Packets
- 10.1080/14029251.2013.792475How to use a DOI?
- Davey-Stewartson-like equations; Bell polynomials; Symbolic computation; Hirota method; Bäcklund transformation; Lax pair; Solitons; Localized excitations
The (2+1)-dimensional Davey-Stewartson-like equations with variable coefficients have the applications in the ultra-relativistic degenerate dense plasmas and Bose-Einstein condensates. Via the Bell polynomials and symbolic computation, the bilinear form, Bäcklund transformation and Lax pair for such equations are obtained. Based on the Hirota method, we construct the soliton solutions, analyze the elastic collisions with the constant and variable coefficients, and observe that solitons no longer keep rectilinear propagation and display different shapes because of the variable coefficients. Besides, localized excitations are derived through the variable separation.
- © 2013 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Hui-Ping Zhou AU - Bo Tian AU - Hui-Xia Mo AU - Min Li AU - Pan Wang PY - 2021 DA - 2021/01/06 TI - Bäcklund Transformation, Lax Pair and Solitons of the (2+1)-dimensional Davey-Stewartson-like Equations with Variable Coefficients for the Electrostatic Wave Packets JO - Journal of Nonlinear Mathematical Physics SP - 94 EP - 105 VL - 20 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2013.792475 DO - 10.1080/14029251.2013.792475 ID - Zhou2021 ER -