New Exact Solutions of the Drinfeld-Sokolov System by the Generalized Unified Method

Tuğba Aydemir

doi:10.53570/jnt.1294322

EN

New Exact Solutions of the Drinfeld-Sokolov System by the Generalized Unified Method

Abstract

In this study, we apply the generalized unified method (GUM), an enhanced version of the unified method, to find novel exact solutions of the Drinfeld-Sokolov System (DSS) that models the dispersive water waves in fluid dynamics. Moreover, 3D and 2D graphs of some of the obtained exact solutions are plotted to present how various characteristic forms they have. The results show that the presented method simplifies the computation process on the computer in a highly reliable and straightforward manner while providing the solutions in more general forms. In addition, the GUM has great potential to apply to a wide range of problems, including nonlinear partial differential equations (NPDEs) and fractional partial differential equations (FPDEs) for finding exact solutions.

Keywords

Drinfeld-Sokolov system, unified method, generalized unified method, exact solution, traveling wave solutions

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Details

Primary Language

English

Subjects

Applied Mathematics

Journal Section

Research Article

Authors

Tuğba Aydemir ^*
0000-0003-3889-0603
Türkiye

Publication Date

September 30, 2023

Submission Date

May 8, 2023

Acceptance Date

August 18, 2023

Published in Issue

Year 2023 Number: 44

DOI

https://doi.org/10.53570/jnt.1294322

IZ

https://izlik.org/JA87LZ86FX

APA

Aydemir, T. (2023). New Exact Solutions of the Drinfeld-Sokolov System by the Generalized Unified Method. Journal of New Theory, 44, 10-19. https://doi.org/10.53570/jnt.1294322

AMA

1.Aydemir T. New Exact Solutions of the Drinfeld-Sokolov System by the Generalized Unified Method. JNT. 2023;(44):10-19. doi:10.53570/jnt.1294322

Chicago

Aydemir, Tuğba. 2023. “New Exact Solutions of the Drinfeld-Sokolov System by the Generalized Unified Method”. Journal of New Theory, nos. 44: 10-19. https://doi.org/10.53570/jnt.1294322.

EndNote

Aydemir T (September 1, 2023) New Exact Solutions of the Drinfeld-Sokolov System by the Generalized Unified Method. Journal of New Theory 44 10–19.

IEEE

[1]T. Aydemir, “New Exact Solutions of the Drinfeld-Sokolov System by the Generalized Unified Method”, JNT, no. 44, pp. 10–19, Sept. 2023, doi: 10.53570/jnt.1294322.

ISNAD

Aydemir, Tuğba. “New Exact Solutions of the Drinfeld-Sokolov System by the Generalized Unified Method”. Journal of New Theory. 44 (September 1, 2023): 10-19. https://doi.org/10.53570/jnt.1294322.

JAMA

1.Aydemir T. New Exact Solutions of the Drinfeld-Sokolov System by the Generalized Unified Method. JNT. 2023;:10–19.

MLA

Aydemir, Tuğba. “New Exact Solutions of the Drinfeld-Sokolov System by the Generalized Unified Method”. Journal of New Theory, no. 44, Sept. 2023, pp. 10-19, doi:10.53570/jnt.1294322.

Vancouver

1.Tuğba Aydemir. New Exact Solutions of the Drinfeld-Sokolov System by the Generalized Unified Method. JNT. 2023 Sep. 1;(44):10-9. doi:10.53570/jnt.1294322

New Exact Solutions of the Drinfeld-Sokolov System by the Generalized Unified Method

Abstract

New Exact Solutions of the Drinfeld-Sokolov System by the Generalized Unified Method

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

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