Abstract | ||
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In this paper, we consider the Cauchy problem for a class of Boussinesq equation. We obtain the existence and uniqueness of the local solutions. For a class of nonlinearity of the perturbation, blow-up solutions are obtained. Furthermore, the global existence and nonlinear scattering for small amplitude solutions are established. |
Year | DOI | Venue |
---|---|---|
2007 | 10.1016/j.amc.2006.10.061 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Boussinesq equation,Blow-up,Existence,Scattering | Cauchy problem,Uniqueness,Mathematical optimization,Nonlinear system,Mathematical analysis,Initial value problem,Scattering,Numerical analysis,Amplitude,Mathematics,Boussinesq approximation (water waves) | Journal |
Volume | Issue | ISSN |
188 | 2 | 0096-3003 |
Citations | PageRank | References |
5 | 1.92 | 0 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Ying Wang | 1 | 12 | 3.24 |
Chunlai Mu | 2 | 55 | 19.15 |