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|Type:||Artigo de periódico|
|Title:||STABILITY FOR THE MODIFIED AND FOURTH-ORDER BENJAMIN-BONA-MAHONY EQUATIONS|
|Abstract:||In this work we establish new results about the existence of smooth, explicit families of periodic traveling waves for the modified and fourth-order Benjamin-Bona-Mahony equations. We also prove, under certain conditions, that these families are nonlinearly stable in the energy space. The techniques employed may be of further use in the study of the stability of periodic traveling-wave solutions of other nonlinear evolution equations.|
|Subject:||Periodic traveling waves|
Modified BBM equation
Fourth BBM equation
|Editor:||Amer Inst Mathematical Sciences|
|Citation:||Discrete And Continuous Dynamical Systems. Amer Inst Mathematical Sciences, v. 30, n. 3, n. 851, n. 871, 2011.|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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