Author:
van der Weele M. C.,Fokas A. S.
Abstract
AbstractStarting 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: $$x_1$$
x
1
, $$x_2$$
x
2
, $$y_1$$
y
1
, $$y_2$$
y
2
and $$t_1$$
t
1
, $$t_2$$
t
2
. In this paper we solve the initial value problem of the 3-wave interaction equations in 4+2 dimensions.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Theory and Mathematics,Analysis
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