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- W1985490043 abstract "We prove that the Cauchy problem for a certain sixth order hyperelastic dispersive equation is globally well-posed in a natural space. We also show that there exist solitary wave solutions u(x,y,t) = φ c (x - ct,y) that come from an associated variational problem. Such solitary waves are nonlinearly stable in the sense that if a solution is initially close to the set of such solitary waves, it remains close to the set for all time in the natural norm." @default.
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- W1985490043 date "2008-01-01" @default.
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- W1985490043 title "The Cauchy problem and the stability of solitary waves of a hyperelastic dispersive equation" @default.
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- W1985490043 doi "https://doi.org/10.1512/iumj.2008.57.3333" @default.
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