DYNAMICS OF SHALLOW WATER WAVES WITH GARDNER-KADOMTSEV-PETVIASHVILI EQUATION.

This paper obtains soliton and other solutions to the Gardner-Kadomtsev-Petviashvili equation that models shallow water wave equation in (1+2)-dimensions. There are three types of integration architectures that will be employed in order to obtain several forms of solution to this model. These are traveling wave hypothesis, improved G’/G-expansion method and finally the tanh-coth hypothesis. The constraint conditions that are needed, for these solutions to exist, are also reported.

DOI : https://openurl.ebsco.com/EPDB%3Agcd%3A14%3A7457342/detailv2?sid=ebsco%3Aplink%3Ascholar&id=ebsco%3Agcd%3A114339852&crl=c

Anwar Ja'afar Mohamad Jawad

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