國立高雄大學圖資館 |

登入

回首頁

Nonlinear waves and solitons on contours and closed surfaces

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Nonlinear waves and solitons on contours and closed surfacesby Andrei Ludu.
作者:	Ludu, Andrei.
出版者:	Cham :Springer International Publishing :2022.
面頁冊數:	xxxii, 566 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Nonlinear wavesMathematics.
電子資源:	https://doi.org/10.1007/978-3-031-14641-1
ISBN:	9783031146411$q(electronic bk.)

Nonlinear waves and solitons on contours and closed surfaces
Ludu, Andrei.

Nonlinear waves and solitons on contours and closed surfaces[electronic resource] /by Andrei Ludu. - Third edition. - Cham :Springer International Publishing :2022. - xxxii, 566 p. :ill., digital ;24 cm. - Springer series in synergetics,2198-333X. - Springer series in synergetics..

Introduction -- Topology and Algebra -- Vector Fields, Diﬀerential Forms, and Derivatives -- The Importance of the Boundary -- Geometry of Curves -- Geometry of Surfaces -- Motion of Curves and Solitons -- Kinematics of Fluids -- Hydrodynamics.

This 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.

ISBN: 9783031146411$q(electronic bk.)

Standard No.: 10.1007/978-3-031-14641-1doiSubjects--Topical Terms:

560197
Nonlinear waves
--Mathematics.

LC Class. No.: QA927

Dewey Class. No.: 531.1133

Nonlinear waves and solitons on contours and closed surfaces
LDR:02471nmm a2200349 a 4500 001 633634
003 DE-He213
005 20221104181854.0
006 m d
007 cr nn 008maaau
008 230511s2022 sz s 0 eng d
020 $a 9783031146411$q(electronic bk.)
020 $a 9783031146404$q(paper)
024 7 $a 10.1007/978-3-031-14641-1 $2 doi
035 $a 978-3-031-14641-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QA927
072 7 $a PHD $2 bicssc
072 7 $a SCI041000 $2 bisacsh
072 7 $a PHD $2 thema
082 0 4 $a 531.1133 $2 23
090 $a QA927 $b .L947 2022
100 1 $a Ludu, Andrei. $3 560195
245 1 0 $a Nonlinear waves and solitons on contours and closed surfaces $h [electronic resource] / $c by Andrei Ludu.
250 $a Third edition.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a xxxii, 566 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer series in synergetics, $x 2198-333X
505 0 $a Introduction -- Topology and Algebra -- Vector Fields, Diﬀerential Forms, and Derivatives -- The Importance of the Boundary -- Geometry of Curves -- Geometry of Surfaces -- Motion of Curves and Solitons -- Kinematics of Fluids -- Hydrodynamics.
520 $a This 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.
650 0 $a Nonlinear waves $x Mathematics. $3 560197
650 0 $a Solitons $x Mathematics. $3 524119
650 0 $a Compact spaces. $3 560198
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Springer series in synergetics. $3 560196
856 4 0 $u https://doi.org/10.1007/978-3-031-14641-1
950 $a Physics and Astronomy (SpringerNature-11651)