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On the applications of some analytical methods

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2023
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Abstract (EN)

In this thesis, Modified exponential function method and sine-Gordon expansion method, which are powerful methods for nonlinear Gross-Pitaevskii equation and extended (3+1) dimensional Jimbo-Miwa equation, are applied. Hyperbolic, trigonometric, exponential, dark and complex function solutions are obtained for the nonlinear Gross-Pitaevskii equation and the extended (3+1) dimensional Jimbo-Miwa equation. For different values of the parameters in the solutions, 2D, 3D and contour graphics are plotted using package programs. A comprehensive analysis is presented according to the important features of the solutions and parameters found.

Author

Fayık Değirmenci

How to Cite

Fayık Değirmenci (Master Thesis). On the applications of some analytical methods, 2023, Harran University.

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