Mathematical Physics

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

By P.L. Sachdev

Nonlinearity performs an important function within the figuring out of such a lot actual, chemical, organic, and engineering sciences.
Nonlinear difficulties fascinate scientists and engineers, yet usually elude specific remedy. despite the fact that elusive they're, the recommendations do exist-if just one perseveres in looking them out.

Self-Similarity and past provides a myriad of ways to discovering certain recommendations for a range of nonlinear difficulties. those contain group-theoretic tools, the direct approach to Clarkson and Kruskal, touring waves, hodograph tools, balancing arguments, embedding designated suggestions right into a extra normal type, and the endless sequence approach.

The author's process is totally positive. Numerical options both encourage the research or verify it, accordingly they're taken care of along the research at any time when attainable. Many examples drawn from genuine actual situations-primarily fluid mechanics and nonlinear diffusion-illustrate and emphasize the important issues presented.

Accessible to a wide base of readers, Self-Similarity and past illuminates a number of efficient equipment for assembly the demanding situations of nonlinearity. Researchers and graduate scholars in nonlinearity, partial differential equations, and fluid mechanics, besides mathematical physicists and numerical analysts, will re-discover the significance of tangible ideas and locate useful additions to their mathematical toolkits.

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