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Local Well-Posedness for a Generalized Integrable Shallow Water Equation with Strong Dispersive Term |
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PP: 429-436 |
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doi:10.18576/amis/150404
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Author(s) |
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Nurhan Du ̈ndar,
Necat Polat,
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Abstract |
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| In this paper, we consider a kind of new nonlinear dispersive wave equation, which is generalized integrable shallow water equation with strong dispersive term. Applying Kato’s semigroup approch, we obtained local well-posedness of Cauchy problem for the generalized integrable shallow water equation with strong dispersive term in Sobolev space (Hs,s > (3/2)).
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