001451235 000__ 03321cam\a2200517\i\4500 001451235 001__ 1451235 001451235 003__ OCoLC 001451235 005__ 20230310004650.0 001451235 006__ m\\\\\o\\d\\\\\\\\ 001451235 007__ cr\cn\nnnunnun 001451235 008__ 221116s2022\\\\sz\a\\\\o\\\\\000\0\eng\d 001451235 020__ $$a9783031146411$$q(electronic bk.) 001451235 020__ $$a3031146417$$q(electronic bk.) 001451235 020__ $$z9783031146404 001451235 020__ $$z3031146409 001451235 0247_ $$a10.1007/978-3-031-14641-1$$2doi 001451235 035__ $$aSP(OCoLC)1350842726 001451235 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dSFB$$dOCLCF$$dUKAHL$$dOCLCQ 001451235 049__ $$aISEA 001451235 050_4 $$aQA927 001451235 08204 $$a531.1133$$223/eng/20221116 001451235 1001_ $$aLudu, Andrei,$$eauthor.$$1https://isni.org/isni/000000037780726X 001451235 24510 $$aNonlinear waves and solitons on contours and closed surfaces /$$cAndrei Ludu. 001451235 250__ $$aThird edition /$$bforeword by Jerry L. Bona and Hongqiu Chen. 001451235 264_1 $$aCham :$$bSpringer,$$c2022. 001451235 300__ $$a1 online resource :$$billustrations (black and white). 001451235 336__ $$atext$$btxt$$2rdacontent 001451235 337__ $$acomputer$$bc$$2rdamedia 001451235 338__ $$aonline resource$$bcr$$2rdacarrier 001451235 4901_ $$aSpringer series in synergetics 001451235 5050_ $$aIntroduction -- Topology and Algebra -- Vector Fields, Dierential Forms, and Derivatives -- The Importance of the Boundary -- Geometry of Curves -- Geometry of Surfaces -- Motion of Curves and Solitons -- Kinematics of Fluids -- Hydrodynamics. 001451235 506__ $$aAccess limited to authorized users. 001451235 520__ $$aThis new edition has been thoroughly revised, expanded and contain some updates function of the novel results and shift of scientific interest in the topics. The book has a Foreword by Jerry L. Bona and Hongqiu Chen. The book is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such a closed curves and surfaces and other domain contours. It assumes familiarity with basic soliton theory and nonlinear dynamical systems. The first part of the book introduces the mathematical concept required for treating the manifolds considered, providing relevant notions from topology and differential geometry. An introduction to the theory of motion of curves and surfaces - as part of the emerging field of contour dynamics - is given. The second and third parts discuss the modeling of various physical solitons on compact systems, such as filaments, loops and drops made of almost incompressible materials thereby intersecting with a large number of physical disciplines from hydrodynamics to compact object astrophysics. This book is intended for graduate students and researchers in mathematics, physics and engineering. 001451235 588__ $$aDescription based on print version record. 001451235 650_0 $$aNonlinear waves$$xMathematics. 001451235 650_0 $$aSolitons$$xMathematics. 001451235 650_0 $$aCompact spaces. 001451235 655_0 $$aElectronic books. 001451235 77608 $$iPrint version:$$aLudu, Andrei.$$tNonlinear waves and solitons on contours and closed surfaces.$$bThird edition.$$dCham : Springer, 2022$$z9783031146404$$w(OCoLC)1346316810 001451235 830_0 $$aSpringer series in synergetics. 001451235 852__ $$bebk 001451235 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-14641-1$$zOnline Access$$91397441.1 001451235 909CO $$ooai:library.usi.edu:1451235$$pGLOBAL_SET 001451235 980__ $$aBIB 001451235 980__ $$aEBOOK 001451235 982__ $$aEbook 001451235 983__ $$aOnline 001451235 994__ $$a92$$bISE