On the invariant solutions of the Korteweg-de Vries-burgers equation
✍ Scribed by M. Lakshmanan; P. Kaliappan
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 227 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0375-9601
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The generalized KdV-Burgers equation u t +(δu xx +g(u)) x -νu xx +γ u = f (x), δ, ν > 0, γ ≥ 0, is considered in this paper. Using the parabolic regularization technique we prove local and global solvability in H 2 (R) of the Cauchy problem for this equation. Several regularity properties of the app
We propose numerical schemes for approximating periodic solutions of the generalized Korteweg-de Vries-Burgers equation. These schemes are based on a Galerkin-finite element formulation for the spatial discretization and use implicit Runge-Kutta (IRK) methods for time stepping. Asymptotically optima