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فهرست نشریات دارای اعتبار وزارت علوم، تحقیقات و فناوری
پایگاه استنادی علوم جهان اسلام (ISC)

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Irshad, Muhammad, Hussan, Mhammad, Ali, Zulfiqar, Jahangir, Iram, Sufyan, Abu, Javed, Muhammad Tayyab. (1404). Classifications of Different Dimensional Partial Differential Equations and Their Invariant Solutions Via Symmetry Reductions and Optimal Systems. سامانه مدیریت نشریات علمی, (), -. doi: 10.22034/cmde.2025.64053.2882
Muhammad Irshad; Mhammad Hussan; Zulfiqar Ali; Iram Jahangir; Abu Sufyan; Muhammad Tayyab Javed. "Classifications of Different Dimensional Partial Differential Equations and Their Invariant Solutions Via Symmetry Reductions and Optimal Systems". سامانه مدیریت نشریات علمی, , , 1404, -. doi: 10.22034/cmde.2025.64053.2882
Irshad, Muhammad, Hussan, Mhammad, Ali, Zulfiqar, Jahangir, Iram, Sufyan, Abu, Javed, Muhammad Tayyab. (1404). 'Classifications of Different Dimensional Partial Differential Equations and Their Invariant Solutions Via Symmetry Reductions and Optimal Systems', سامانه مدیریت نشریات علمی, (), pp. -. doi: 10.22034/cmde.2025.64053.2882
Irshad, Muhammad, Hussan, Mhammad, Ali, Zulfiqar, Jahangir, Iram, Sufyan, Abu, Javed, Muhammad Tayyab. Classifications of Different Dimensional Partial Differential Equations and Their Invariant Solutions Via Symmetry Reductions and Optimal Systems. سامانه مدیریت نشریات علمی, 1404; (): -. doi: 10.22034/cmde.2025.64053.2882

Classifications of Different Dimensional Partial Differential Equations and Their Invariant Solutions Via Symmetry Reductions and Optimal Systems

Computational Methods for Differential Equations
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 03 شهریور 1404    اصل مقاله (1.42 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2025.64053.2882
نویسندگان
Muhammad Irshad* 1؛ Mhammad Hussan2؛ Zulfiqar Ali1؛ Iram Jahangir1؛ Abu Sufyan1؛ Muhammad Tayyab Javed1
1Department of Mathematics, Riphah International University, Main Satyana Road, Faisalabad 38000, Pakistan.
2Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan.
چکیده
The study analyzes the (1+2)-dimensional modified Breaking Soliton equation using classical symmetries and explores the (1+1)-dimensional heat equation and modified Boussinesq equation through Lie symmetry analysis and Lie subalgebras. Classical symmetries are derived from the solutions of nonlinear partial differential equations, and optimal systems are constructed using commutator relationships and adjoint representations. The research presents new invariant solutions and their graphical analyses, which are valuable for applied sciences and numerical simulations. Solutions explain phenomena such as circular membrane vibrations, heat conduction, and electromagnetic waves. Wave, contour, and patch contour solutions are used in sound, light, weather forecasting, medical imaging, and material science. This paper provides a comprehensive analysis of the generalized single and double reduction methods, highlighting the significance of inherited symmetries at each stage of the reduction process.
کلیدواژه‌ها
Classifications؛ Symmetry reductions؛ Optimal systems؛ Invariant solutions
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تعداد مشاهده مقاله: 86
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