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Sine-gordon method and its applications

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2024
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Abstract (EN)

The Boussinesq equation, modeling the propagation of waves, the Klein-Gordon equation, also known as the wave equation of relativity, and the Burgers equation are fundamental partial differential equations appearing in various fields of applied mathematics, such as fluid mechanics, nonlinear acoustics, gas dynamics, and traffic flow. Soliton solutions of the Klein-Gordon equations, the one-dimensional Burgers equation and Boussinesq equation, known as relativity wave equation, were obtained by the sine-Gordon expansion method. The results obtained with this method were analyzed.

Author

Abdulhamit Şap

How to Cite

Abdulhamit Şap (Master Thesis). Sine-gordon method and its applications, 2024, Harran University.

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