In present report the algorithm for solving 4-waves dispersive equation are proposed. We consider both asymmetric and symmetric cases. The set of asymmetric solutions is generated by effective algorithm, and the set of symmetric solutions i

Problems Definition
Given:
(1)
(2)
(3)
Find:
All
satisfies (1)-(3)
Let
The system of equations for the problem:

1. Elena Kartashova. Fast Computation Algorithm for Discrete Resonances among Gravity Waves. Journal of Low Temperature Physics, Vol. 145, Nos. 1–4, November 2006
2. Elena Kartashova, Alexey Kartashov. LaminatedWave Turbulence: Generic Algorithms I. International Journal of Modern Physics C, Vol. 17, No. 11 (2006), 1579-1596.
3. Elena Kartashova, Alexey Kartashov. LaminatedWave Turbulence: Generic Algorithms II. Communications in computational physics. Vol. 2, no. 4, pp. 783-794
4. Elena Kartashova, Guenther Mayrhofer. Cluster formation in mesoscopic systems.
Physica A 385 (2007) 527–542
5. Elena Kartashova, Sergey Nazarenko, Oleksii Rudenko. Resonant interactions of nonlinear water waves in a finite basin. Physical review e 78, 016304 _2008_
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