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Akhmetshin, Elvir, Abdullayev, Ilyos, Makhmudov, Samariddin, Dakhkilgova, Kamila, Korotaeva, Irina, Yanovskaya, Galina. (1405). Application of tanh–coth method for combined and double combined sinh–cosh–Gordon equations arising from chemical reactions to water surface gravity waves. سامانه مدیریت نشریات علمی, 14(3), 1337-1352. doi: 10.22034/cmde.2025.67655.3234
Elvir Akhmetshin; Ilyos Abdullayev; Samariddin Makhmudov; Kamila Dakhkilgova; Irina Korotaeva; Galina Yanovskaya. "Application of tanh–coth method for combined and double combined sinh–cosh–Gordon equations arising from chemical reactions to water surface gravity waves". سامانه مدیریت نشریات علمی, 14, 3, 1405, 1337-1352. doi: 10.22034/cmde.2025.67655.3234
Akhmetshin, Elvir, Abdullayev, Ilyos, Makhmudov, Samariddin, Dakhkilgova, Kamila, Korotaeva, Irina, Yanovskaya, Galina. (1405). 'Application of tanh–coth method for combined and double combined sinh–cosh–Gordon equations arising from chemical reactions to water surface gravity waves', سامانه مدیریت نشریات علمی, 14(3), pp. 1337-1352. doi: 10.22034/cmde.2025.67655.3234
Akhmetshin, Elvir, Abdullayev, Ilyos, Makhmudov, Samariddin, Dakhkilgova, Kamila, Korotaeva, Irina, Yanovskaya, Galina. Application of tanh–coth method for combined and double combined sinh–cosh–Gordon equations arising from chemical reactions to water surface gravity waves. سامانه مدیریت نشریات علمی, 1405; 14(3): 1337-1352. doi: 10.22034/cmde.2025.67655.3234

Application of tanh–coth method for combined and double combined sinh–cosh–Gordon equations arising from chemical reactions to water surface gravity waves

Computational Methods for Differential Equations
مقاله 20، دوره 14، شماره 3، مهر 2026، صفحه 1337-1352    اصل مقاله (468.35 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2025.67655.3234
نویسندگان
Elvir Akhmetshin* 1؛ Ilyos Abdullayev2؛ Samariddin Makhmudov3؛ Kamila Dakhkilgova4؛ Irina Korotaeva5؛ Galina Yanovskaya5
11. Department of Economics, Mamun University, Khiva, Uzbekistan. \\ 2. Faculty of Economics, RUDN University, Moscow, Russia.
2Department of Business and Management, Urgench State University, Urgench, Uzbekistan.
31. Department of Finance and Tourism, Termez University of Economics and Service, Termez, Uzbekistan.\\ 2. Department of Finance, Alfraganus University, Tashkent, Uzbekistan.
4Department of programming and infocommunication technologies, Kadyrov Chechen State University, Grozny, Russia.
5Department I-11 Foreign language for aerospace specialties, Moscow Aviation Institute, Moscow, Russia.
چکیده
An application of the generalized tanh–coth method to search for exact solutions of nonlinear partial differential equations is analyzed. This method is used for the combined and the double combined sinh-cosh-Gordon equations. The generalized tanh–coth method was used to construct periodic wave and solitary wave solutions of nonlinear evolution equations. This method is developed for searching for exact travelling wave solutions of nonlinear partial differential equations. It is shown that the generalized $tanh-coth$ method, with the help of symbolic computation, provides a straightforward and powerful mathematical tool for solving nonlinear problems.
کلیدواژه‌ها
The generalized tanh–coth method؛ The combined and the double combined sinh–cosh–Gordon equations؛ Solitary wave and periodic wave solutions
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