On the complex properties of the first equation of the Kadomtsev-Petviashvili hierarchy
Seenith Sivasundaram, Ajay Kumar, Ratnesh Kumar Singh
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Source: Crossref
Published: Oct 31, 2023
DOI: 10.2478/ijmce-2024-0006
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Abstract This work studies the first equation of the Kadomtsev-Petviashvili (KP) hierarchy. The sine-Gordon expansion method (SGEM) and the rational SGEM (RSGEM) are applied to the governing model. RSGEM is the developed version of SGEM. New complex travelling wave solutions, logarithmic and complex function properties are obtained. Several simulations such as 2D, 3D and contour surfaces of the obtained results are plotted. Physical meanings of these solutions are also reported. Strain conditions are also extracted.
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