Exact solutions and invariant subspaces of nonlinear partial differential equations in mechanics and physics /
Providing exact solutions of more than 100 nonlinear equations and models, this book begins with classical as well as more recent examples of interesting solutions on linear invariant subspaces for nonlinear operators. In the remainder of the book, the authors develop several techniques for construc...
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| Format: | eBook |
| Language: | English |
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Boca Raton :
Chapman & Hall/CRC,
©2007.
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| Series: | Chapman & Hall/CRC applied mathematics and nonlinear science series.
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | Providing exact solutions of more than 100 nonlinear equations and models, this book begins with classical as well as more recent examples of interesting solutions on linear invariant subspaces for nonlinear operators. In the remainder of the book, the authors develop several techniques for constructing exact solutions of various nonlinear PDEs, including gas dynamics models, free-boundary problems, Green-Naghdi equations, and quasilinear pseudo-parabolic (magma) equations. Using exact solutions, they describe the evolution properties related to singularity blow-up or extinction phenomena, fin. |
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| Physical Description: | 1 online resource (xxx, 498 pages) : illustrations |
| Bibliography: | Includes bibliographical references (pages 467-492) and index. |
| ISBN: | 1420011626 9781420011623 |