Andrei D. Polyanin, Alexei I. Zhurov

Separation of Variables and Exact Solutions to Nonlinear PDEs (eBook, PDF)

• Format: PDF

Produktbeschreibung

The book is devoted to describing and applying methods of generalized and functional separation of variables used to find exact solutions of nonlinear PDEs. It also presents the direct method of symmetry reductions and its more general version.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 401
• Erscheinungstermin: 19. September 2021
• Englisch
• ISBN-13: 9781000463637
• Artikelnr.: 62583906

Autorenporträt

Andrei D. Polyanin, D.Sc., Ph.D., Professor, is a well-known scientist of broad interests and is active in various areas of mathematics, mechanics, and chemical engineering sciences. Professor Polyanin graduated with honors from the Department of Mechanics and Mathematics of Moscow State University in 1974. He received his Ph.D. degree in 1981 and D.Sc. degree in 1986 at the Institute for Problems in Mechanics of the Russian (former USSR) Academy of Sciences. Since 1975, Professor Polyanin has been working at the Institute for Problems in Mechanics of the Russian Academy of Sciences; he is also Professor of Mathematics at Bauman Moscow State Technical University and at National Research Nuclear University MEPhI. He is a member of the Russian National Committee on Theoretical and Applied Mechanics and of the Mathematics and Mechanics Expert Council of the Higher Certification Committee of the Russian Federation.

Alexei I. Zhurov, Ph.D., is scientist in nonlinear mechanics, mathematical physics, computer algebra, biomechanics, and morphometrics. He graduated with honors from the Department of Airphysics and Space Research of the Moscow Institute of Physics and Technology in 1990. Since then has become a member of staff of the Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, where he received his PhD in mechanics and fluid dynamics in 1995 and has become a senior research scientist since 1999. Since 2001, he has joined Cardiff University as a research scientist in the area of biomechanics and morphometrics.

Inhaltsangabe

1. Methods of Generalized Separation of Variables
2. Methods of Functional Separation of Variables
3. Direct Method of Symmetry Reductions. Weak Symmetries
4. Method of Differential Constraints