Self-Similarity and Beyond: Exact Solutions of Nonlinear Problems (Monographs and Surveys in Pure and Applied Mathematics)

P.L. Sachdev

ISBN 10: 1584882115 / ISBN 13: 9781584882114

Verlag: Chapman and Hall/CRC 2000-08-24, 2000

Beschreibung

Bestandsnummer des Verkäufers 6666-TNFPD-9781584882114

Bibliografische Details

• Titel: Self-Similarity and Beyond: Exact Solutions of Nonlinear Problems (Monographs and Surveys in Pure and Applied Mathematics)
• Verlag: Chapman and Hall/CRC 2000-08-24
• Erscheinungsjahr: 2000
• Sprache: Englisch
• ISBN-10: 1584882115
• ISBN-13: 9781584882114
• Einband: Hardcover
• Zustand: New

Über diesen Titel

Inhaltsangabe

Nonlinearity plays a major role in the understanding of most physical, chemical, biological, and engineering sciences. Nonlinear problems fascinate scientists and engineers, but often elude exact treatment. However elusive they may be, the solutions do exist-if only one perseveres in seeking them out. Self-Similarity and Beyond presents a myriad of approaches to finding exact solutions for a diversity of nonlinear problems. These include group-theoretic methods, the direct method of Clarkson and Kruskal, traveling waves, hodograph methods, balancing arguments, embedding special solutions into a more general class, and the infinite series approach. The author's approach is entirely constructive. Numerical solutions either motivate the analysis or confirm it, therefore they are treated alongside the analysis whenever possible. Many examples drawn from real physical situations-primarily fluid mechanics and nonlinear diffusion-illustrate and emphasize the central points presented. Accessible to a broad base of readers, Self-Similarity and Beyond illuminates a variety of productive methods for meeting the challenges of nonlinearity. Researchers and graduate students in nonlinearity, partial differential equations, and fluid mechanics, along with mathematical physicists and numerical analysts, will re-discover the importance of exact solutions and find valuable additions to their mathematical toolkits.

Über die Autorin bzw. den Autor

Sachdev, P.L.