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Lyapunov approach to the soliton stability in highly dispersive systems. II: KdV-type equations. (English) Zbl 0972.35518

Summary: The stability of solitons described by fifth order KdV-type equations with arbitrary power nonlinearities is studied by means of the Lyapunov approach. From the results obtained it follows that the solitons are stable at \(p<\)8 where \(p\) is the power of nonlinearity.
For Part I, see ibid. 254-256 (1996; Zbl 0972.35519).

MSC:

35Q51 Soliton equations
35Q53 KdV equations (Korteweg-de Vries equations)

Citations:

Zbl 0972.35519
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References:

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