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Self-Similarity and Beyond
Exact Solutions of Nonlinear Problems
By: P.L. Sachdev
Hardcover | 24 August 2000 | Edition Number 1
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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.
Industry Reviews
ISBN: 9781584882114
ISBN-10: 1584882115
Series: CHAPMAN AND HALL /CRC MONOGRAPHS AND SURVEYS IN PURE AND APPLIED MATHEMATICS
Published: 24th August 2000
Format: Hardcover
Language: English
Number of Pages: 336
Audience: Professional and Scholarly
Publisher: CHAPMAN & HALL
Country of Publication: GB
Edition Number: 1
Dimensions (cm): 23.4 x 15.6 x 2.54
Weight (kg): 0.64
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You Can Find This Book In
This product is categorised by
- Non-FictionMathematicsCalculus & Mathematical AnalysisDifferential Calculus & Equations
- Non-FictionMedicineMedicine in General
- Non-FictionMathematicsApplied MathematicsNonlinear Science
- Non-FictionMathematicsCalculus & Mathematical AnalysisNumerical Analysis
- Non-FictionScienceScience in GeneralMaths for Scientists
- Non-FictionEngineering & TechnologyTechnology in GeneralMaths for Engineers