@article{article_364760, title={A SPECTRAL METHOD TO OBTAIN SOLITON SOLUTIONS TO CQNLS EQUATION}, journal={The Eurasia Proceedings of Science Technology Engineering and Mathematics}, pages={304–309}, year={2017}, author={Goksel, Izzet and Bakirtas, Ilkay}, keywords={Nonlinear Schrödinger equation,soliton,spectral methods}, abstract={<p> <span style="font-size:10.0pt;line-height:115%; font-family:"Times New Roman","serif";mso-fareast-font-family:Calibri; mso-fareast-theme-font:minor-latin;mso-ansi-language:EN-US;mso-fareast-language: EN-US;mso-bidi-language:AR-SA">In optics, the cubic-quintic nonlinear Schrödinger (CQNLS) equation models electromagnetic wave propagation in various optical media. Competing cubic and quintic nonlinearities will allow the existence of stable soliton solutions (see </span> <span lang="TR" style="font-size:11.0pt;line-height:115%;font-family:"Calibri","sans-serif"; mso-ascii-theme-font:minor-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font: minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;mso-ansi-language:TR;mso-fareast-language:EN-US; mso-bidi-language:AR-SA"> <a href="file:///C:/Users/TOSHIBA/Desktop/epstem2017/epstem2017_39.docx#Göksel15"> <span lang="EN-US" style="font-size: 10.0pt;line-height:115%;font-family:"Times New Roman","serif";mso-ansi-language: EN-US">Göksel et al. (2015) </span> </a> </span> <span style="font-size:10.0pt; line-height:115%;font-family:"Times New Roman","serif";mso-fareast-font-family: Calibri;mso-fareast-theme-font:minor-latin;mso-ansi-language:EN-US;mso-fareast-language: EN-US;mso-bidi-language:AR-SA">). In this study, a numerical method is introduced to obtain these solitons in different self-focusing / self-defocusing cubic-quintic media. Solitons obtained numerically by this spectral method are then validated by comparison with exact solutions. </span> <br> </p>}, number={1}, publisher={ISRES Organizasyon Turizm Eğitim Danışmanlık Ltd. Şti.} }