Partially Integrable Evolution Equations in Physics: 310 (Nato Science Series C:, 310) - Hardcover

Hardcover

ISBN 10: 0792307526 ISBN 13: 9780792307525

Publisher: Springer, 1990

Synopsis

In the many physical phenomena ruled by partial differential equations, two extreme fields are currently overcrowded due to recent considerable developments: 1) the field of completely integrable equations, whose recent advances are the inverse spectral transform, the recursion operator, underlying Hamiltonian structures, Lax pairs, etc 2) the field of dynamical systems, often built as models of observed physical phenomena: turbulence, intermittency, Poincare sections, transition to chaos, etc. In between there is a very large region where systems are neither integrable nor nonintegrable, but partially integrable, and people working in the latter domain often know methods from either 1) or 2). Due to the growing interest in partially integrable systems, we decided to organize a meeting for physicists active or about to undertake research in this field, and we thought that an appropriate form would be a school. Indeed, some of the above mentioned methods are often adaptable outside their original domain and therefore worth to be taught in an interdisciplinary school. One of the main concerns was to keep a correct balance between physics and mathematics, and this is reflected in the list of courses.

About this title

Synopsis

Four sections and contributed papers address topics related to waves in physical systems, instabilities and defects, concepts of integrability and singularity analysis, and mathematical methods. The mathematical aspects of partial integrability represent a subset of the general, powerful methods of dealing with integrability in general and are made

Edition details

• Publisher: Springer
• Publication date: 1990
• ISBN 10: 0792307526
• ISBN 13: 9780792307525
• Binding: Hardcover
• Language: English
• Number of pages: 626
• Editor: Conte R., Boccara N.