東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Linked to FindBook

Google Book

Amazon

博客來

Analytical properties of nonlinear partial differential equations = with applications to shallow water models /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Analytical properties of nonlinear partial differential equations/ Alexei Cheviakov, Peng Zhao.
Reminder of title:	with applications to shallow water models /
Author:	Cheviakov, Alexei F.
other author:	Zhao, Peng.
Published:	Cham :Springer International Publishing : : 2024.,
Description:	xviii, 309 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	Equations of Fluid dynamics and the shallow water approximation -- Integrability and related analytical properties of nonlinear PDE systems -- Analytical properties of some classical shallow-water models -- Discussion.
Contained By:	Springer Nature eBook
Subject:	Differential equations, Nonlinear. -
Online resource:	https://doi.org/10.1007/978-3-031-53074-6
ISBN:	9783031530746

Analytical properties of nonlinear partial differential equations = with applications to shallow water models /
Cheviakov, Alexei F.

Analytical properties of nonlinear partial differential equationswith applications to shallow water models /[electronic resource] :Alexei Cheviakov, Peng Zhao. - Cham :Springer International Publishing :2024. - xviii, 309 p. :ill. (some col.), digital ;24 cm. - CMS/CAIMS books in mathematics,v. 102730-6518 ;. - CMS/CAIMS books in mathematics ;v. 10..

Equations of Fluid dynamics and the shallow water approximation -- Integrability and related analytical properties of nonlinear PDE systems -- Analytical properties of some classical shallow-water models -- Discussion.

Nonlinear partial differential equations (PDE) are at the core of mathematical modeling. In the past decades and recent years, multiple analytical methods to study various aspects of the mathematical structure of nonlinear PDEs have been developed. Those aspects include C- and S-integrability, Lagrangian and Hamiltonian formulations, equivalence transformations, local and nonlocal symmetries, conservation laws, and more. Modern computational approaches and symbolic software can be employed to systematically derive and use such properties, and where possible, construct exact and approximate solutions of nonlinear equations. This book contains a consistent overview of multiple properties of nonlinear PDEs, their relations, computation algorithms, and a uniformly presented set of examples of application of these methods to specific PDEs. Examples include both well known nonlinear PDEs and less famous systems that arise in the context of shallow water waves and far beyond. The book will be of interest to researchers and graduate students in applied mathematics, physics, and engineering, and can be used as a basis for research, study, reference, and applications.

ISBN: 9783031530746

Standard No.: 10.1007/978-3-031-53074-6doiSubjects--Topical Terms:

604084
Differential equations, Nonlinear.

LC Class. No.: QA372

Dewey Class. No.: 515.355

Analytical properties of nonlinear partial differential equations = with applications to shallow water models /
LDR:02511nmm a22003375a 4500 001 2370612
003 DE-He213
005 20240322210421.0
006 m d
007 cr nn 008maaau
008 241127s2024 sz s 0 eng d
020 $a 9783031530746 $q (electronic bk.)
020 $a 9783031530739 $q (paper)
024 7 $a 10.1007/978-3-031-53074-6 $2 doi
035 $a 978-3-031-53074-6
040 $a GP $c GP
041 0 $a eng
050 4 $a QA372
072 7 $a PBW $2 bicssc
072 7 $a MAT003000 $2 bisacsh
072 7 $a PBW $2 thema
082 0 4 $a 515.355 $2 23
090 $a QA372 $b .C528 2024
100 1 $a Cheviakov, Alexei F. $3 1086620
245 1 0 $a Analytical properties of nonlinear partial differential equations $h [electronic resource] : $b with applications to shallow water models / $c Alexei Cheviakov, Peng Zhao.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2024.
300 $a xviii, 309 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a CMS/CAIMS books in mathematics, $x 2730-6518 ; $v v. 10
505 0 $a Equations of Fluid dynamics and the shallow water approximation -- Integrability and related analytical properties of nonlinear PDE systems -- Analytical properties of some classical shallow-water models -- Discussion.
520 $a Nonlinear partial differential equations (PDE) are at the core of mathematical modeling. In the past decades and recent years, multiple analytical methods to study various aspects of the mathematical structure of nonlinear PDEs have been developed. Those aspects include C- and S-integrability, Lagrangian and Hamiltonian formulations, equivalence transformations, local and nonlocal symmetries, conservation laws, and more. Modern computational approaches and symbolic software can be employed to systematically derive and use such properties, and where possible, construct exact and approximate solutions of nonlinear equations. This book contains a consistent overview of multiple properties of nonlinear PDEs, their relations, computation algorithms, and a uniformly presented set of examples of application of these methods to specific PDEs. Examples include both well known nonlinear PDEs and less famous systems that arise in the context of shallow water waves and far beyond. The book will be of interest to researchers and graduate students in applied mathematics, physics, and engineering, and can be used as a basis for research, study, reference, and applications.
650 0 $a Differential equations, Nonlinear. $3 604084
650 0 $a Differential equations, Partial. $3 518115
650 0 $a Water waves $x Mathematical models. $3 668635
650 1 4 $a Mathematics of Planet Earth. $3 3236712
650 2 4 $a Mathematics. $3 515831
650 2 4 $a Dynamical Systems. $3 3538746
650 2 4 $a Mathematical and Computational Biology. $3 1566274
700 1 $a Zhao, Peng. $3 1951064
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a CMS/CAIMS books in mathematics ; $v v. 10. $3 3716093
856 4 0 $u https://doi.org/10.1007/978-3-031-53074-6
950 $a Mathematics and Statistics (SpringerNature-11649)