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Elsonbaty, Nivan M., Ahmed, Hamdy M., Badra, Niveen M., Rabie, Wafaa B., Eslami, Mostafa. (1404). Distinct solitary wave solutions for the (3+1)-dimensional integrable pKP–BKP equation using the modified extended direct algebraic technique. سامانه مدیریت نشریات علمی, (), -. doi: 10.22034/cmde.2025.65398.3004
Nivan M. Elsonbaty; Hamdy M. Ahmed; Niveen M. Badra; Wafaa B. Rabie; Mostafa Eslami. "Distinct solitary wave solutions for the (3+1)-dimensional integrable pKP–BKP equation using the modified extended direct algebraic technique". سامانه مدیریت نشریات علمی, , , 1404, -. doi: 10.22034/cmde.2025.65398.3004
Elsonbaty, Nivan M., Ahmed, Hamdy M., Badra, Niveen M., Rabie, Wafaa B., Eslami, Mostafa. (1404). 'Distinct solitary wave solutions for the (3+1)-dimensional integrable pKP–BKP equation using the modified extended direct algebraic technique', سامانه مدیریت نشریات علمی, (), pp. -. doi: 10.22034/cmde.2025.65398.3004
Elsonbaty, Nivan M., Ahmed, Hamdy M., Badra, Niveen M., Rabie, Wafaa B., Eslami, Mostafa. Distinct solitary wave solutions for the (3+1)-dimensional integrable pKP–BKP equation using the modified extended direct algebraic technique. سامانه مدیریت نشریات علمی, 1404; (): -. doi: 10.22034/cmde.2025.65398.3004

Distinct solitary wave solutions for the (3+1)-dimensional integrable pKP–BKP equation using the modified extended direct algebraic technique

Computational Methods for Differential Equations
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 09 اردیبهشت 1404    اصل مقاله (2.94 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2025.65398.3004
نویسندگان
Nivan M. Elsonbaty1؛ Hamdy M. Ahmed2؛ Niveen M. Badra3؛ Wafaa B. Rabie4؛ Mostafa Eslami* 5
1Department of Physics and Mathematics Engineering, Faculty of Engineering, Ain Shams University, Cairo, Egypt.
2Basic Sciences Department, Faculty of Engineering, The British University in Egypt, Cairo, Egypt.
3Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El-Shorouk Academy, El-Shorouk City, Cairo, Egypt.
4Department of Engineering Mathematics and Physics, Higher Institute of Engineering and Technology, Tanta, Egypt.
5Department of Applied Mathematics, Faculty of Mathematical Sciences University of Mazandaran, Babolsar, Iran.
چکیده
This study aims to derive solitons and other traveling wave solutions for the pKP-BKP equation, which integrates the potential Kadomtsev–Petviashvili (pKP) and B-type Kadomtsev–Petviashvili (BKP) equations in three spatial dimensions. This equation is used to describe long water waves in oceans, impoundments, and estuaries, as well as to predict tsunamis, analyze river, tidal, and irrigation flows, and simulate weather patterns. The modified extended direct algebraic approach is employed to obtain various types of exact solutions, including dark solitons, combo dark-singular solitons, singular solitons, hyperbolic solutions, singular periodic solutions, exponential solutions, rational solutions, and Jacobi elliptic solutions. The derived solutions are visualized using Mathematica software, with contour, 2D, and 3D graphical representations to illustrate their dynamic behavior.
کلیدواژه‌ها
pKP–BKP equation؛ Dark soliton؛ Rational solution؛ Modified extended direct algebraic method
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تعداد مشاهده مقاله: 32
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