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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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