Described accurate analytical methods for solving nonlinear equations of mathematical physics. Along with the classical methods are also presented and new methods that have evolved rapidly in recent years (non-classical methods for finding symmetries, direct method of Kruskal-Clarkson, links differential method, the method of generalized separation of variables, etc.). All sections discuss examples of the use of methods for constructing exact solutions of nonlinear differential equations specific. We study the equation of heat and mass transfer, hydrodynamics, the theory of waves, nonlinear acoustics, combustion theory, nonlinear optics, and others. There are numerous tasks and exercises that allows to get practical skills to apply these methods.
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For a wide range of researchers, university lecturers, engineers and students specializing in various fields mathematics, mechanics and physics. Its theoretical material and exercises can be used in the course of lectures on the equations of mathematical physics, reading of special courses and practical training.
LINK RUSSIAN VERSION
http://www.mediafire.com/view/387bfzjke8n579j/Methods_for_solving_nonlinear_equations_of_mathematical_physics_and_mechanics-Polyanin.pdf
