Walsh, Shane G.; Bustamante, Miguel D. On the convergence of the normal form transformation in discrete Rossby and drift wave turbulence. (English) Zbl 1460.76914 J. Fluid Mech. 884, Paper No. A28, 23 p. (2020). MSC: 76U65 PDFBibTeX XMLCite \textit{S. G. Walsh} and \textit{M. D. Bustamante}, J. Fluid Mech. 884, Paper No. A28, 23 p. (2020; Zbl 1460.76914) Full Text: DOI arXiv
Hayat, Umar; Amanullah, Shahid; Walsh, Shane; Abdullah, Mamoon; Bustamante, Miguel D. Discrete resonant Rossby/drift wave triads: explicit parameterisations and a fast direct numerical search algorithm. (English) Zbl 1457.76186 Commun. Nonlinear Sci. Numer. Simul. 79, Article ID 104896, 19 p. (2019). MSC: 76U65 76M99 PDFBibTeX XMLCite \textit{U. Hayat} et al., Commun. Nonlinear Sci. Numer. Simul. 79, Article ID 104896, 19 p. (2019; Zbl 1457.76186) Full Text: DOI arXiv
Harper, Katie L.; Bustamante, Miguel D.; Nazarenko, Sergey V. Quadratic invariants for discrete clusters of weakly interacting waves. (English) Zbl 1268.76010 J. Phys. A, Math. Theor. 46, No. 24, Article ID 245501, 32 p. (2013). MSC: 76B65 PDFBibTeX XMLCite \textit{K. L. Harper} et al., J. Phys. A, Math. Theor. 46, No. 24, Article ID 245501, 32 p. (2013; Zbl 1268.76010) Full Text: DOI arXiv
Harris, Jamie; Bustamante, Miguel D.; Connaughton, Colm Externally forced triads of resonantly interacting waves: boundedness and integrability properties. (English) Zbl 1416.70013 Commun. Nonlinear Sci. Numer. Simul. 17, No. 12, 4988-5006 (2012). MSC: 70H05 70H06 PDFBibTeX XMLCite \textit{J. Harris} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 12, 4988--5006 (2012; Zbl 1416.70013) Full Text: DOI arXiv