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Zbl 0727.60126
Hu, Xingbiao; Li, Yong
Nonlinear superposition formulae of the Itô equation and a model equation for shallow water waves. (English)
[J] J. Phys. A, Math. Gen. 24, No.9, 1979-1986 (1991). ISSN 0305-4470

Summary: Nonlinear superposition formulae of the Itô equation and a model equation for shallow water waves are proved under certain conditions. Some particular solutions of the Itô equation are obtained as illustrative application of the obtained nonlinear superposition formula.
MSC 2000:
*60K40 Physical appl. of random processes
76B15 Wave motions (fluid mechanics)
60H99 Stochastic analysis

Keywords: Nonlinear superposition formulae; Itô equation

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