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Solving the Initial Value Problem for the 3-Wave Interaction Equations in Multidimensions
OAI: oai:www.repository.cam.ac.uk:1810/321494 • DOI: 10.17863/CAM.68615
Abstract
Abstract: Starting from the 3-wave interaction equations in 2+1 dimensions (i.e., two space dimensions and one time dimension), we complexify the independent variables, thus doubling the number of real variables, and hence we work in 4+2 dimensions: x1, x2, y1, y2 and t1, t2. In this paper we solve the initial value problem of the 3-wave interaction equations in 4+2 dimensions.