دانشگاه مازندران

 آمار

تعداد نشریات31
تعداد شماره‌ها499
تعداد مقالات4,850
تعداد مشاهده مقاله7,491,436
تعداد دریافت فایل اصل مقاله5,593,188
Eslami, Mostafa, Esmaeily, Anis, Mirzazadeh, Mohammad, Rehman, Hamood. (1404). On the stability analysis and the solitonic wave structures for the stochastic resonant nonlinear Schrödinger equation with spatio temporal and inter-modal dispersion under generalized Kudryashov's law non-linearity. پژوهشنامه مدیریت اجرایی, (), -. doi: 10.22080/cjms.2025.29059.1754
Mostafa Eslami; Anis Esmaeily; Mohammad Mirzazadeh; Hamood Rehman. "On the stability analysis and the solitonic wave structures for the stochastic resonant nonlinear Schrödinger equation with spatio temporal and inter-modal dispersion under generalized Kudryashov's law non-linearity". پژوهشنامه مدیریت اجرایی, , , 1404, -. doi: 10.22080/cjms.2025.29059.1754
Eslami, Mostafa, Esmaeily, Anis, Mirzazadeh, Mohammad, Rehman, Hamood. (1404). 'On the stability analysis and the solitonic wave structures for the stochastic resonant nonlinear Schrödinger equation with spatio temporal and inter-modal dispersion under generalized Kudryashov's law non-linearity', پژوهشنامه مدیریت اجرایی, (), pp. -. doi: 10.22080/cjms.2025.29059.1754
Eslami, Mostafa, Esmaeily, Anis, Mirzazadeh, Mohammad, Rehman, Hamood. On the stability analysis and the solitonic wave structures for the stochastic resonant nonlinear Schrödinger equation with spatio temporal and inter-modal dispersion under generalized Kudryashov's law non-linearity. پژوهشنامه مدیریت اجرایی, 1404; (): -. doi: 10.22080/cjms.2025.29059.1754

On the stability analysis and the solitonic wave structures for the stochastic resonant nonlinear Schrödinger equation with spatio temporal and inter-modal dispersion under generalized Kudryashov's law non-linearity

Caspian Journal of Mathematical Sciences
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 29 مرداد 1404
نوع مقاله: Research Articles
شناسه دیجیتال (DOI): 10.22080/cjms.2025.29059.1754
نویسندگان
Mostafa Eslami* 1؛ Anis Esmaeily1؛ Mohammad Mirzazadeh2؛ Hamood Rehman3
1Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.
2Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, Rudsar -Vajargah, Iran.
3Department of Mathematics, University of Okara, Okara, Pakistan.
تاریخ دریافت: 01 اردیبهشت 1404،  تاریخ بازنگری: 21 مرداد 1404،  تاریخ پذیرش: 26 مرداد 1404 
چکیده
This paper discusses the optical soliton solutions of the stochastic resonant nonlinear Schrödinger equation (SRNLSE). The equation has spatio-temporal dispersion, inter-modal dispersion, multiplicative white noise, and nonlinearity under generalized Kudryashov's law. Optical soliton solutions in terms of bright, dark, periodic, and singular solitons are obtained from this equation by using the (Gˊ)/G^2 -expansion method and a new Kudryashov method. This work provides insight into soliton dynamics in nonlinear optical systems with stochastic effects, where complex dispersion interactions play a dominant role. Specifically, it shows how the interplay of spatio-temporal dispersion (SPD) and inter-modal dispersion (IMD), in the presence of multiplicative noise, determines the behavior of solitons. We also discuss the effects of multiplicative noise on the exact solutions of the nonlinear Schrödinger equation using the Maple software. The stability of critical points is discussed by linearizing the system around equilibrium solutions and graphically indicating the behavior of these solutions as well.
کلیدواژه‌ها
White noise؛ Kudryashov's law non-linearity؛ (Gˊ)/G^2 -expansion method؛ New Kudryashov’s method؛ Optical Solitons
آمار
تعداد مشاهده مقاله: 15


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب