Bilinear Bäcklund transformations and explicit solutions of equation in (3+1)-dimension Online publication date: Tue, 21-Mar-2017
by Manjit Singh
International Journal of Computing Science and Mathematics (IJCSM), Vol. 8, No. 1, 2017
Abstract: Based on Hirota's technique we have obtained two forms of bilinear Bäcklund transformations for (3+1)-dimensional generalised Kadomtsev-Petviashvili equation which are not reported before. The first form involves five arbitrary parameters and second form involves eight arbitrary parameters. In addition to this, the exponential and stationary rational wave solutions are also obtained by proposed bilinear Bäcklund transformations.
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