@article{ZHOU2023, 
author = {Guoquan ZHOU and Runjia LUO and Ying QI},
title = {SOLITON SOLUTION OF MNLS/DNLS EQUATION WITH NONVANISHING BOUNDARY CONDITION BASED ON HIROTA METHOD},
year = {2023},
journal = {Physics and Engineering},
volume = {33},
number = {4},
pages = {79-84},
keywords = {soliton, nonlinear equation, modified nonlinear Schrödinger equation, derivative nonlinear Schrödinger equation, Hirota method, Hirota's bilinear derivative transformation},
url = {https://www.sciopen.com/article/10.26599/PHYS.2023.9320414},
doi = {10.26599/PHYS.2023.9320414},
abstract = {Hirota's bilinear derivative transformation is a direct method which is more convenient than the inverse scattering transform to deal with a nonlinear partial deferential equation. Based on Hirota's method, the soliton solutions of the modified nonlinear Schrdinger (MNLS) equation under standing wave boundary condition, are obtained; and by simple method of parameter vanishing, the corresponding soliton solutions of the derivative nonlinear Schrdinger (DNLS) equation under constant nonvanishing boundary condition, are gotten, which allows the existence of both bright and dark solitons. The evolution of bright/ dark-soliton solutions in time and space is demonstrated in figures. The results are consistent with what were obtained by the inverse scattering transform.}
}