J L Bona et al 1995 Nonlinearity 8 1179 doi:10.1088/0951-7715/8/6/017
J L Bona, K S Promislow and C E Wayne
Show affiliationsConsidered herein are the generalized Korteweg-de Vries equations with a homogeneous dissipative term appended. Solutions of these equations that start with finite energy decay to zero as time tends toward infinity. We present an asymptotic form which renders explicit the relative strengths of the dissipative, dispersive, and nonlinear effects in this decay.
41A60 Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (See also 30E15)
Issue 6 (November 1995)
J L Bona et al 1995 Nonlinearity 8 1179
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