APPLICATION OF TANH–COTH METHOD FOR COMBINED AND DOUBLE COMBINED SINH–COSH–GORDON EQUATIONS ARISING CHEMICAL REACTIONS TO WATER SURFACE GRAVITY WAVES

Articles in Press

Document Type : Research Paper

Authors

1 1. Department of Economics, Mamun University, Khiva, Uzbekistan. \\ 2. Faculty of Economics, RUDN University, Moscow, Russia.

2 Department of Business and Management, Urgench State University, Urgench, Uzbekistan.

3 1. Department of Finance and Tourism, Termez University of Economics and Service, Termez, Uzbekistan.\\ 2. Department of Finance, Alfraganus University, Tashkent, Uzbekistan.

4 Department of programming and infocommunication technologies, Kadyrov Chechen State University, Grozny, Russia.

5 Department I-11 Foreign language for aerospace specialties, Moscow Aviation Institute, Moscow, Russia.

Abstract

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 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.

Keywords

Main Subjects

Computational Methods for Differential Equations

Articles in Press, Accepted Manuscript
Available Online from 17 July 2025

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History

  • Receive Date: 02 June 2025
  • Revise Date: 17 July 2025
  • Accept Date: 17 July 2025

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