@techreport{oai:nifs-repository.repo.nii.ac.jp:00010406,
 author = {Watanabe,  T.-H. and Sugama,  H. and Sato,  T.},
 month = {Dec},
 note = {A non-dissipative drift kinetic simulation scheme, which regorously satisfies the time-reversibility, is applies to the three-mode coupling problem of the ion temperature gradient (ITG) instability.  It is found from the simulation that the three-mode ITG system repeats growth and decay with a period which shows a logarithmic divergence for infinitesimal initial perturbations.  Accordingly, time average of the mode amplitude vanishes, as the initial amplitude approaches to zero. An exact solution is analytically given for a class of initial conditions.  An excellent agreement is confirmed between the analytical solution and numerical results.  The results obtained here provide a useful reference for basic benchmarking of theories and simulations of the ITG modes.},
 title = {Non-dissipative Kinetic Simulation and Analytical Solution of Three-mode Equations of Ion Temperature Gradient Instability},
 year = {1999}
}