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Tariq, Hira, Ashraf, Hira, Hosseinzadeh, Mohammad Ali, Rezazadeh, Hadi, Biria, Soheila. (1405). Soliton solutions in the nonlinear conformable Wu-Zhang system. سامانه مدیریت نشریات علمی, 14(2), 929-946. doi: 10.22034/cmde.2024.61514.2661
Hira Tariq; Hira Ashraf; Mohammad Ali Hosseinzadeh; Hadi Rezazadeh; Soheila Biria. "Soliton solutions in the nonlinear conformable Wu-Zhang system". سامانه مدیریت نشریات علمی, 14, 2, 1405, 929-946. doi: 10.22034/cmde.2024.61514.2661
Tariq, Hira, Ashraf, Hira, Hosseinzadeh, Mohammad Ali, Rezazadeh, Hadi, Biria, Soheila. (1405). 'Soliton solutions in the nonlinear conformable Wu-Zhang system', سامانه مدیریت نشریات علمی, 14(2), pp. 929-946. doi: 10.22034/cmde.2024.61514.2661
Tariq, Hira, Ashraf, Hira, Hosseinzadeh, Mohammad Ali, Rezazadeh, Hadi, Biria, Soheila. Soliton solutions in the nonlinear conformable Wu-Zhang system. سامانه مدیریت نشریات علمی, 1405; 14(2): 929-946. doi: 10.22034/cmde.2024.61514.2661

Soliton solutions in the nonlinear conformable Wu-Zhang system

Computational Methods for Differential Equations
مقاله 27، دوره 14، شماره 2، تیر 2026، صفحه 929-946    اصل مقاله (1.14 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.61514.2661
نویسندگان
Hira Tariq1؛ Hira Ashraf1؛ Mohammad Ali Hosseinzadeh2؛ Hadi Rezazadeh* 2؛ Soheila Biria3
1Department of Mathematics, Government College Women University, Sialkot, Pakistan.
2Faculty of Engineering Modern Technologies, Amol University of Special Modern Technologies, Amol, Iran.
3Higher Education Extension Office, Vice-Chancellor of Education, Ministry of Science, Research and Technology, Tehran, Iran.
چکیده
In this paper, new analytical solutions of nonlinear fractional Wu-Zhang system are determined with the aid of two analytical approaches, that is, generalized projective Riccati equation method and Sardar sub-equation method via conformable derivative. The system describes (1 + 1)-dimensional dispersive long wave in two horizontal directions on shallow waters. Some new solitary wave solutions are demonstrated by the means of computer softwares maple or mathematica. The obtained results reveals that the proposed method is very efficacious and straightforward in the determination of the solution for the nonlinear fractional Wu-Zhang system.
کلیدواژه‌ها
Fractional Wu-Zhang system؛ Conformable fractional derivative؛ Generalized projective Riccati equation method؛ Sardar sub-equation method
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