Asymptotic behavior of solutions of a generalized Boussinesq type equation
β Scribed by Felipe Linares; Marcia Scialom
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 445 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
A technique based on the reduction of order for solving differential equations is employed to investigate a generalized nonlinear Boussinesq wave equation. The compacton solutions, solitons, solitary pattern solutions, periodic solutions and algebraic travelling wave solutions for the equation are e
We prove the existence of a global attractor for the Newton-Boussinesq equation defined in a two-dimensional channel. The asymptotic compactness of the equation is derived by the uniform estimates on the tails of solutions. We also establish the regularity of the global attractor.