Abstract
The nonlinear Schrödinger equation coupling with stochastic weakly damped, forced KdV equation with additive noise can be solved pathwise, and the unique solution generates a random dynamical system. Then we prove that the system possesses a global weak random attractor.
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Guo, B., Wang, G. Attractor for nonlinear Schrödinger equation coupling with stochastic weakly damped, forced KdV equation. Front. Math. China 3, 495–510 (2008). https://doi.org/10.1007/s11464-008-0032-y
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DOI: https://doi.org/10.1007/s11464-008-0032-y