Long-time asymptotics of solutions of the second initial-boundary value problem for the damped Boussinesq equation
For the damped Boussinesq equation utt−2butxx=−αuxxxx+uxx+β(u2)xx,x∈(0,π),t>0;α,b=const>0,β=const∈R1, the second initial-boundary value problem is considered with small initial data. Its classical solution is constructed in the form of a series in small parameter present in the initial conditi...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1997-01-01
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| Series: | Abstract and Applied Analysis |
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| Online Access: | http://dx.doi.org/10.1155/S1085337597000407 |