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Undular Bore Theory in mKdV-Burgers Equation by Gustavo Henrique is a document available to read on EtoBox.
This paper presents a theoretical framework for understanding undular bores in the modified Korteweg-de Vries-Burgers equation, incorporating small Burgers viscosity. The authors derive Whitham modulation equations that account for this viscosity, demonstrating that it stabilizes cnoidal bores over long time evolution. The findings are supported by numerical solutions, showing good agreement with the analytical results.
- Author
- Gustavo Henrique
- Language
- EN