عنوان

Separation of Variables and Exact Solutions to Nonlinear PDEs

(Number (ISBN

9780367486891

Number

E3627

.Language of Text, Soundtrack etc

انگلیسی

Title Proper

Separation of Variables and Exact Solutions to Nonlinear PDEs

First Statement of Responsibility

Andrei D. Polyanin, Alexei I. Zhurov

Place of Publication, Distribution, etc.

Boca Raton

Name of Publisher, Distributor, etc.

CRC Press

Date of Publication, Distribution, etc.

2022

Specific Material Designation and Extent of Item

xviii, 383 p.

Other Physical Details

ill.

Series Title

(Advances in applied mathematics)

Text of Note

"Chapman & Hall book."

Text of Note

Includes bibliographical references and index

Text of Note

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

0

Text of Note

Separation of Variables and Exact Solutions to Nonlinear PDEs is devoted to describing and applying methods of generalized and functional separation of variables used to find exact solutions of nonlinear partial differential equations (PDEs). It also presents the direct method of symmetry reductions and its more general version. In addition, the authors describe the differential constraint method, which generalizes many other exact methods. The presentation involves numerous examples of utilizing the methods to find exact solutions to specific nonlinear equations of mathematical physics. The equations of heat and mass transfer, wave theory, hydrodynamics, nonlinear optics, combustion theory, chemical technology, biology, and other disciplines are studied. Particular attention is paid to nonlinear equations of a reasonably general form that depend on one or several arbitrary functions. Such equations are the most difficult to analyze. Their exact solutions are of significant practical interest, as they are suitable to assess the accuracy of various approximate analytical and numerical methods. The book contains new material previously unpublished in monographs. It is intended for a broad audience of scientists, engineers, instructors, and students specializing in applied and computational mathematics, theoretical physics, mechanics, control theory, chemical engineering science, and other disciplines. Individual sections of the book and examples are suitable for lecture courses on partial differential equations, equations of mathematical physics, and methods of mathematical physics, for delivering special courses and for practical training

Differential equations, Nonlinear

Differential equations, Partial

Class number

Book number

Polyanin. A. D. (Andrei Dmitrievich)

Zhurov, Alexei I.

Country

Iran

Agency

University of Tehran. Library of College of Science

Date and Hour of Consultation and Access

UT_SCI_BL_DB_1003888_0001.pdf

e

BL

278840

a

Y