Asymptotic property for the solution to the generalized Korteweg-de vries equation
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- Zhang, L. Acta Mathematicae Applicatae Sinica (1994) 10: 377. doi:10.1007/BF02016328
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We study temporal asymptotic property for the solution of the initial value problem for the generalized nonlinear Korteweg-de Vries equation, which is a nonlinear dissipative dispersive wave equation. The decay results of the solution follow from thepriori L2 integral estimates and the Fourier transform.