000 03248nam a22005295i 4500
001 978-3-031-17069-0
003 DE-He213
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007 cr nn 008mamaa
008 221028s2022 sz | s |||| 0|eng d
020 _a9783031170690
_9978-3-031-17069-0
024 7 _a10.1007/978-3-031-17069-0
_2doi
050 4 _aQA370-380
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
072 7 _aPBKJ
_2thema
082 0 4 _a515.35
_223
100 1 _aArrigo, Daniel.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_979203
245 1 0 _aAnalytical Methods for Solving Nonlinear Partial Differential Equations
_h[electronic resource] /
_cby Daniel Arrigo.
250 _a2nd ed. 2022.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2022.
300 _aXII, 174 p. 3 illus., 2 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSynthesis Lectures on Mathematics & Statistics,
_x1938-1751
505 0 _aNonlinear PDEs are Everywhere -- Differential Substitutions -- Point and Contact Transformations -- First Integrals -- Functional Separability. .
520 _aThis textbook provides an introduction to methods for solving nonlinear partial differential equations (NLPDEs). After the introduction of several PDEs drawn from science and engineering, readers are introduced to techniques to obtain exact solutions of NLPDEs. The chapters include the following topics: Nonlinear PDEs are Everywhere; Differential Substitutions; Point and Contact Transformations; First Integrals; and Functional Separability. Readers are guided through these chapters and are provided with several detailed examples. Each chapter ends with a series of exercises illustrating the material presented in each chapter. This Second Edition includes a new method of generating contact transformations and focuses on a solution method (parametric Legendre transformations) to solve a particular class of two nonlinear PDEs. In addition, this book: Presents analytical methods to solve nonlinear partial differential equations (NLPDEs) Includes techniques for solving first and second order NLPDEs and provides interdisciplinary examples Contains numerous exercises throughout to facilitate learning and has been class tested over the past 10 years.
650 0 _aDifferential equations.
_979204
650 0 _aMathematics.
_911584
650 0 _aMathematical analysis.
_911486
650 1 4 _aDifferential Equations.
_979205
650 2 4 _aMathematics.
_911584
650 2 4 _aAnalysis.
_931580
650 2 4 _aApplications of Mathematics.
_931558
710 2 _aSpringerLink (Online service)
_979206
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031170683
776 0 8 _iPrinted edition:
_z9783031170706
776 0 8 _iPrinted edition:
_z9783031170713
830 0 _aSynthesis Lectures on Mathematics & Statistics,
_x1938-1751
_979207
856 4 0 _uhttps://doi.org/10.1007/978-3-031-17069-0
912 _aZDB-2-SXSC
942 _cEBK
999 _c84736
_d84736