@article{Mao2025, 
author = {Jin-Jin Mao and Xue-Wei Yan},
title = {∂    ¯  -dressing method for the three-coupled fourth-order nonlinear Schrödinger system},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {12},
pages = {28407-28435},
keywords = {the three-coupled fourth-order nonlinear Schrödinger systems, ∂-dressing method, Lax pair, recursive operator, soliton solutions},
url = {https://www.sciopen.com/article/10.3934/math.20251250},
doi = {10.3934/math.20251250},
abstract = {This article mainly investigated the three-coupled fourth-order nonlinear Schrödinger (NLS) systems, which characterized the alpha-helical proteins with interspine coupling at the fourth-order interaction. By the        ∂    ¯  -dressing method, we studied the three-coupled fourth-order NLS systems. We derived a new spectral problem starting from the        ∂    ¯  -problem. Then, we obtained the three-coupled fourth-order NLS hierarchy associated with the spectral problem using a recursive operator. Finally, we analyzed the    N-soliton solutions of the three-coupled fourth-order NLS systems by determining the spectral transform matrix in the        ∂    ¯  -problem. We also provided detailed descriptions of the    1-,    2-, and    3-soliton solutions, along with dynamic features and graphical illustration.}
}