The system: u_ξ = - zv, v_ξ = zu, z_τ = u v - γ z with z → 0 at τ → - ∞ and initial data for u = (u,v) at ξ = 0 are considered. Well posedness results are obtained for this and also for a version discretized in τ. Stability is considered as ξ → ∞.
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Menyuk et al. (1992) studied this question.
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