@article{Alrebdi2026, 
author = {Tahani A. Alrebdi and Nauman Raza and Saima Arshed and F. Alkallas and Abdel-Haleem Abdel-Aty},
title = {New solitary wave solutions for the triplet coupled nonlinear Schrödinger system incorporating fractional effects},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {1},
pages = {420-443},
keywords = {fractional Schrödinger equations, variational principle, variational method, Hamiltonian-based method},
url = {https://www.sciopen.com/article/10.3934/math.2026018},
doi = {10.3934/math.2026018},
abstract = {New traveling wave solutions for the nonlinear fractional Schrödinger equation (FSE), obtained using conformable fractional derivatives, are presented in this paper. Despite extensive research on classical and fractional Schrödinger models, a systematic development of accurate traveling wave solutions employing conformable operators in conjunction with effective symbolic approaches remains lacking. To bridge this gap, we employ a Hamiltonian-based technique, a variational formulation via the Ritz method, and the modified Sardar subequation method. The fractional governing model is reduced to a nonlinear ordinary differential equation through a complex traveling wave transformation, which is analytically solved to yield new families of solutions. Two- and three-dimensional graphical representations of the solution's physical properties are presented, emphasizing the wave dynamics of the proposed fractional model.}
}