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- W2049550562 abstract "Abstract The Korteweg-de Vries equation with a fifth-order-derivative dispersive perturbation has been used as a model for a variety of physical phenomena including gravity-capillary water waves. It has recently been shown that this equation possesses infinitely many multi-pulsed stationary solitary wave solutions. Here it is argued based on the asymptotic theory of Gorshkov and Ostrovsky (Physica D 3 (1981) 428) that half of the two-pulses are stable. Comparison with numerically obtained two-pulses shows that the asymptotic theory is remarkably accurate, and time integration of the full partial differential equations confirms the stability results." @default.
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- W2049550562 date "1997-08-01" @default.
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- W2049550562 title "On the stability of solitary wave solutions of the fifth-order KdV equation" @default.
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- W2049550562 doi "https://doi.org/10.1016/s0375-9601(97)00453-2" @default.
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