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Ur Rehman, Hamood, Amer, Aamna, Ashraf, Hameed, Eslami, Mostafa, Mirzazadeh, Mohammad. (1404). Investigating closed form soliton solutions to the Riemann wave equation by using two novel methods. سامانه مدیریت نشریات علمی, (), -. doi: 10.22034/cmde.2024.62630.2773
Hamood Ur Rehman; Aamna Amer; Hameed Ashraf; Mostafa Eslami; Mohammad Mirzazadeh. "Investigating closed form soliton solutions to the Riemann wave equation by using two novel methods". سامانه مدیریت نشریات علمی, , , 1404, -. doi: 10.22034/cmde.2024.62630.2773
Ur Rehman, Hamood, Amer, Aamna, Ashraf, Hameed, Eslami, Mostafa, Mirzazadeh, Mohammad. (1404). 'Investigating closed form soliton solutions to the Riemann wave equation by using two novel methods', سامانه مدیریت نشریات علمی, (), pp. -. doi: 10.22034/cmde.2024.62630.2773
Ur Rehman, Hamood, Amer, Aamna, Ashraf, Hameed, Eslami, Mostafa, Mirzazadeh, Mohammad. Investigating closed form soliton solutions to the Riemann wave equation by using two novel methods. سامانه مدیریت نشریات علمی, 1404; (): -. doi: 10.22034/cmde.2024.62630.2773

Investigating closed form soliton solutions to the Riemann wave equation by using two novel methods

Computational Methods for Differential Equations
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 23 آذر 1404    اصل مقاله (2.97 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.62630.2773
نویسندگان
Hamood Ur Rehman1؛ Aamna Amer1؛ Hameed Ashraf1؛ Mostafa Eslami* 2؛ Mohammad Mirzazadeh3
1Department of Mathematics, University of Okara, Okara, Pakistan.
2Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.
3Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, Rudsar-Vajargah, P.C. 44891-63157, Iran.
چکیده
The present work aims to investigate solitary wave solutions for the recently developed (2 + 1)-
dimensional Riemann wave equation, which is a signifcant mathematical model in nonlinear sciences with fascinating applications in fluid dynamics, optics, image processing, plasma physics
etc. To analyze this model, we employ a novel modifed Sardar sub-equation method and new
Kudryashov’s method to generate several sorts of soliton solutions. A range of categories are
encompassed by these solutions, such as periodic, bright solitons, singular solitons, dark solitons,
combo bright-singular solitons, exponential, and rational solutions. To highlight the dynamic
behavior and physical importance of the optical soliton solutions of proposed model, several
graphical simulations, by three-dimensional (3D) graphs and two-dimensional (2D) plots, are
used. This work suggests a major advancement in comprehending the intricate and unpredictable behavior of this model, encouraging readers to explore the world of nonlinear waves
and dynamic systems.
کلیدواژه‌ها
Riemann wave equation (RWE)؛ Optical Solitons؛ Modifed Sardar sub-equation method (MSSM)؛ New Kudryashov’s method (NKM)
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تعداد مشاهده مقاله: 122
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