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Abdullaev, Muzaffar, Revyakina, Elena, Dengaev, Alexey, Minulina, Alsu, Gazizov, Andrey, Guryanova, Irina. (1405). CONSTRUCTION OF EXACT PERIODIC WAVE AND SOLITARY WAVE SOLUTIONS TO THE MODIFIED FORMS OF DEGASPERIS–PROCESI AND CAMASSA–HOLM EQUATIONS BY THE GENERALIZED G’/G-EXPANSION METHOD. سامانه مدیریت نشریات علمی, (), -. doi: 10.22034/cmde.2025.69470.3424
Muzaffar Abdullaev; Elena Revyakina; Alexey Dengaev; Alsu Minulina; Andrey Gazizov; Irina Guryanova. "CONSTRUCTION OF EXACT PERIODIC WAVE AND SOLITARY WAVE SOLUTIONS TO THE MODIFIED FORMS OF DEGASPERIS–PROCESI AND CAMASSA–HOLM EQUATIONS BY THE GENERALIZED G’/G-EXPANSION METHOD". سامانه مدیریت نشریات علمی, , , 1405, -. doi: 10.22034/cmde.2025.69470.3424
Abdullaev, Muzaffar, Revyakina, Elena, Dengaev, Alexey, Minulina, Alsu, Gazizov, Andrey, Guryanova, Irina. (1405). 'CONSTRUCTION OF EXACT PERIODIC WAVE AND SOLITARY WAVE SOLUTIONS TO THE MODIFIED FORMS OF DEGASPERIS–PROCESI AND CAMASSA–HOLM EQUATIONS BY THE GENERALIZED G’/G-EXPANSION METHOD', سامانه مدیریت نشریات علمی, (), pp. -. doi: 10.22034/cmde.2025.69470.3424
Abdullaev, Muzaffar, Revyakina, Elena, Dengaev, Alexey, Minulina, Alsu, Gazizov, Andrey, Guryanova, Irina. CONSTRUCTION OF EXACT PERIODIC WAVE AND SOLITARY WAVE SOLUTIONS TO THE MODIFIED FORMS OF DEGASPERIS–PROCESI AND CAMASSA–HOLM EQUATIONS BY THE GENERALIZED G’/G-EXPANSION METHOD. سامانه مدیریت نشریات علمی, 1405; (): -. doi: 10.22034/cmde.2025.69470.3424

CONSTRUCTION OF EXACT PERIODIC WAVE AND SOLITARY WAVE SOLUTIONS TO THE MODIFIED FORMS OF DEGASPERIS–PROCESI AND CAMASSA–HOLM EQUATIONS BY THE GENERALIZED G’/G-EXPANSION METHOD

Computational Methods for Differential Equations
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 04 مرداد 1405    اصل مقاله (1.49 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2025.69470.3424
نویسندگان
Muzaffar Abdullaev* 1؛ Elena Revyakina2؛ Alexey Dengaev3؛ Alsu Minulina4؛ Andrey Gazizov2؛ Irina Guryanova5
1Tashkent State Technical University named after Islam Karimov, Tashkent, Uzbekistan.
2Don State Technical University, Rostov-on-Don, Russia.
3Gubkin Russian State University of Oil and Gas, Moscow, Russia.
4Leninogorsk branch of A.N. Tupolev Kazan National Research Technical University - KAI, Leninogorsk, Russia.
5Financial University under the Government of the Russian Federation, Moscow, Russia.
چکیده
In this work, the exact solutions to the modified forms of Degasperis–
Procesi and Camassa–Holm equations are established. The generalized G’/Gexpansion method is used to construct solitary wave solutions of nonlinear evolution equations. The generalized G’/G-expansion method presents a wider applicability for handling nonlinear wave equations. It is shown that the G’/Gexpansion method, with the help of symbolic computation, provides a straightforward and powerful mathematical tool for solving nonlinear evolution equations
in mathematical physics. The soliton solutions demonstrate the competency of
the proposed technique in identifying traveling wave solutions, offering a useful
tool for tackling a variety of nonlinear evolution equation. The proposed models have applications in various scientific domains, including condensed matter
physics, hydrodynamics, plasma physics, optical fiber communications, ocean engineering, and nonlinear dynamics.
کلیدواژه‌ها
The generalized G’/G-expansion method؛ Modified forms of Degasperis–Procesi and Camassa–Holm equations؛ Solitary wave solutions؛ Solitons
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