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The New G-Double-Laplace Transforms and One-Dimensional Coupled Sine-Gordon Equations.
- Source :
-
Axioms (2075-1680) . Jun2024, Vol. 13 Issue 6, p385. 18p. - Publication Year :
- 2024
-
Abstract
- This paper establishes a novel technique, which is called the G-double-Laplace transform. This technique is an extension of the generalized Laplace transform. We study its properties with examples and various theorems related to the G-double-Laplace transform that have been addressed and proven. Finally, we apply the G-double-Laplace transform decomposition method to solve the nonlinear sine-Gordon and coupled sine-Gordon equations. This method is a combination of the G-double-Laplace transform and decomposition method. In addition, some examples are examined to establish the accuracy and effectiveness of this technique. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SINE-Gordon equation
*DECOMPOSITION method
Subjects
Details
- Language :
- English
- ISSN :
- 20751680
- Volume :
- 13
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Axioms (2075-1680)
- Publication Type :
- Academic Journal
- Accession number :
- 178159364
- Full Text :
- https://doi.org/10.3390/axioms13060385