Nonlinear waves : theory, computer simulation, experiment

• Tác giả: Michail D Todorov
• Ngôn ngữ: eng
• ISBN-13: 978-1643270449
• ISBN-13: 978-1643270456
• ISBN-13: 978-1643270470
• Ký hiệu phân loại: 530.155355 Theories and mathematical physics
• Thông tin xuất bản: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, 2018
• Mô tả vật lý: 1 online resource (various pagings) : , illustrations (some color).
• Bộ sưu tập: Tài liệu truy cập mở
• ID: 161088
• Chủ đề: 1. Mathematical physics; 2. Nonlinear wave equations; 3. Dynamics & statistics; 4. SCIENCE / Mechanics / Dynamics

Includes bibliographical references.

Tóm tắt

The Boussinesq equation is the first model of surface waves in shallow water that considers the nonlinearity and the dispersion and their interaction as a reason for wave stability known as the Boussinesq paradigm. This balance bears solitary waves that behave like quasi-particles. At present, there are some Boussinesq-like equations. The prevalent part of the known analytical and numerical solutions, however, relates to the 1d case while for multidimensional cases, almost nothing is known so far. An exclusion is the solutions of the Kadomtsev-Petviashvili equation. The difficulties originate from the lack of known analytic initial conditions and the nonintegrability in the multidimensional case. Another problem is which kind of nonlinearity will keep the temporal stability of localized solutions.