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Adil, Noshirvan, Abdullah, Eman, Ahmed, Hamdy, Zaghrout, Afaf, Ali, Youssra, Rabie, Wafaa. (1404). Optical solitons and bifurcation analysis in the cubic quintic septic nonic nonlinear Schrödinger equation using modified extended direct algebraic method. سامانه مدیریت نشریات علمی, (), -. doi: 10.22034/cmde.2025.68670.3342
Noshirvan Adil; Eman H. M. Abdullah; Hamdy M. Ahmed; Afaf A. S. Zaghrout; Youssra S. Ali; Wafaa B. Rabie. "Optical solitons and bifurcation analysis in the cubic quintic septic nonic nonlinear Schrödinger equation using modified extended direct algebraic method". سامانه مدیریت نشریات علمی, , , 1404, -. doi: 10.22034/cmde.2025.68670.3342
Adil, Noshirvan, Abdullah, Eman, Ahmed, Hamdy, Zaghrout, Afaf, Ali, Youssra, Rabie, Wafaa. (1404). 'Optical solitons and bifurcation analysis in the cubic quintic septic nonic nonlinear Schrödinger equation using modified extended direct algebraic method', سامانه مدیریت نشریات علمی, (), pp. -. doi: 10.22034/cmde.2025.68670.3342
Adil, Noshirvan, Abdullah, Eman, Ahmed, Hamdy, Zaghrout, Afaf, Ali, Youssra, Rabie, Wafaa. Optical solitons and bifurcation analysis in the cubic quintic septic nonic nonlinear Schrödinger equation using modified extended direct algebraic method. سامانه مدیریت نشریات علمی, 1404; (): -. doi: 10.22034/cmde.2025.68670.3342

Optical solitons and bifurcation analysis in the cubic quintic septic nonic nonlinear Schrödinger equation using modified extended direct algebraic method

Computational Methods for Differential Equations
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 15 دی 1404    اصل مقاله (5.13 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2025.68670.3342
نویسندگان
Noshirvan Adil1؛ Eman H. M. Abdullah2؛ Hamdy M. Ahmed* 2؛ Afaf A. S. Zaghrout3؛ Youssra S. Ali3؛ Wafaa B. Rabie4
1Guangdong Provincial Key Laboratory of Durability for Marine Civil Engineering, Shenzhen University, Shenzhen 518060, China.
2Department of Physics and Engineering Math, The Higher Institute of Engineering, El Shorouk Academy, Cairo, Egypt.
3Department of Mathematics, Faculty of Science, Al Azhar University, Cairo, Egypt.
4Department of Mathematics, Faculty of Science, Luxor University, Taiba, Luxor, Egypt.
چکیده
This study investigates the nonlinear Schr\"{o}dinger equation characterized by constant coefficients in a cubic–quintic–septic–nonic medium. By employing the modified extended direct algebraic method, a diverse range of analytical solutions is derived, including bright, dark, and mixed dark–bright soliton solutions, as well as singular structures. Additionally, the work presents periodic, exponential, rational, Jacobi elliptic, and Weierstrass elliptic solutions. To illustrate the physical characteristics of the obtained solutions, two-dimensional, three-dimensional, and contour plots are generated for specific parameter choices. A detailed bifurcation analysis is conducted to examine the system’s stability and dynamic transitions, supported by phase portraits and sensitivity analysis with respect to key parameters.
کلیدواژه‌ها
Cubic-quintic-septic-nonic medium؛ Analytical solutions؛ Bifurcation analysis؛ Phase portraits؛ Sensitive analysis
آمار
تعداد مشاهده مقاله: 59
تعداد دریافت فایل اصل مقاله: 89


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