國立高雄大學圖資館 |

Language: English

Back

Solitonsa volume in the Encyclopedia of complexity and systems science /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Solitonsedited by Mohamed Atef Helal.
Reminder of title:	a volume in the Encyclopedia of complexity and systems science /
other author:	Helal, Mohamed Atef.
Published:	New York, NY :Springer US :2022.
Description:	xxiv, 475 p. :ill. (chiefly color), digital ;24 cm.
Contained By:	Springer Nature eReference
Subject:	Solitons.
Online resource:	https://doi.org/10.1007/978-1-0716-2457-9
ISBN:	9781071624579$q(electronic bk.)

Solitonsa volume in the Encyclopedia of complexity and systems science /
Solitonsa volume in the Encyclopedia of complexity and systems science /[electronic resource] :edited by Mohamed Atef Helal. - Second edition. - New York, NY :Springer US :2022. - xxiv, 475 p. :ill. (chiefly color), digital ;24 cm. - Encyclopedia of complexity and systems science series,2629-2343. - Encyclopedia of complexity and systems science series..

Nonlinear Water Waves and Nonlinear Evolution Equations with Applications -- Inverse Scattering Transform and the Theory of Solitons -- Korteweg-de Vries Equation (KdV), Different Analytical Methods for Solving the -- Korteweg-de Vries Equation (KdV), History, Exact N-Soliton Solutions and Further Properties of the -- Semi-analytical Methods for Solving the KdV and mKdV Equations -- Korteweg-de Vries Equation (KdV), Some Numerical Methods for Solving the -- Nonlinear Internal Waves -- Partial Differential Equations that Lead to Solitons -- Shallow Water Waves and Solitary Waves -- Soliton Perturbation -- Solitons and Compactons -- Solitons: Historical and Physical Introduction -- Solitons Interactions -- Solitons, Introduction to -- Tsunamis and Oceanographical Applications of Solitons.

This newly updated volume of the Encyclopedia of Complexity and Systems Science (ECSS) presents several mathematical models that describe this physical phenomenon, including the famous non-linear equation Korteweg-de-Vries (KdV) that represents the canonical form of solitons. Also, there exists a class of nonlinear partial differential equations that led to solitons, e.g., Kadomtsev-Petviashvili (KP), Klein-Gordon (KG), Sine-Gordon (SG), Non-Linear Schrödinger (NLS), Korteweg-de-Vries Burger's (KdVB), etc. Different linear mathematical methods can be used to solve these models analytically, such as the Inverse Scattering Transformation (IST), Adomian Decomposition Method, Variational Iteration Method (VIM), Homotopy Analysis Method (HAM) and Homotopy Perturbation Method (HPM) Other non-analytic methods use the computational techniques available in such popular mathematical packages as Mathematica, Maple, and MATLAB. The main purpose of this volume is to provide physicists, engineers, and their students with the proper methods and tools to solve the soliton equations, and to discover the new possibilities of using solitons in multi-disciplinary areas ranging from telecommunications to biology, cosmology, and oceanographic studies.

ISBN: 9781071624579$q(electronic bk.)

Standard No.: 10.1007/978-1-0716-2457-9doiSubjects--Topical Terms:

207908
Solitons.

LC Class. No.: QC174.26.W28

Dewey Class. No.: 530.124

Solitonsa volume in the Encyclopedia of complexity and systems science /
LDR:03289nmm a2200361 a 4500 001 633648
003 DE-He213
005 20221112121238.0
006 m d
007 cr nn 008maaau
008 230511s2022 nyu s 0 eng d
020 $a 9781071624579$q(electronic bk.)
020 $a 9781071624562$q(paper)
024 7 $a 10.1007/978-1-0716-2457-9 $2 doi
035 $a 978-1-0716-2457-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QC174.26.W28
072 7 $a PHFP $2 bicssc
072 7 $a SCI051000 $2 bisacsh
072 7 $a PHFP $2 thema
082 0 4 $a 530.124 $2 23
090 $a QC174.26.W28 $b S687 2022
245 0 0 $a Solitons $h [electronic resource] : $b a volume in the Encyclopedia of complexity and systems science / $c edited by Mohamed Atef Helal.
250 $a Second edition.
260 $a New York, NY : $b Springer US : $b Imprint: Springer, $c 2022.
300 $a xxiv, 475 p. : $b ill. (chiefly color), digital ; $c 24 cm.
490 1 $a Encyclopedia of complexity and systems science series, $x 2629-2343
505 0 $a Nonlinear Water Waves and Nonlinear Evolution Equations with Applications -- Inverse Scattering Transform and the Theory of Solitons -- Korteweg-de Vries Equation (KdV), Different Analytical Methods for Solving the -- Korteweg-de Vries Equation (KdV), History, Exact N-Soliton Solutions and Further Properties of the -- Semi-analytical Methods for Solving the KdV and mKdV Equations -- Korteweg-de Vries Equation (KdV), Some Numerical Methods for Solving the -- Nonlinear Internal Waves -- Partial Differential Equations that Lead to Solitons -- Shallow Water Waves and Solitary Waves -- Soliton Perturbation -- Solitons and Compactons -- Solitons: Historical and Physical Introduction -- Solitons Interactions -- Solitons, Introduction to -- Tsunamis and Oceanographical Applications of Solitons.
520 $a This newly updated volume of the Encyclopedia of Complexity and Systems Science (ECSS) presents several mathematical models that describe this physical phenomenon, including the famous non-linear equation Korteweg-de-Vries (KdV) that represents the canonical form of solitons. Also, there exists a class of nonlinear partial differential equations that led to solitons, e.g., Kadomtsev-Petviashvili (KP), Klein-Gordon (KG), Sine-Gordon (SG), Non-Linear Schrödinger (NLS), Korteweg-de-Vries Burger's (KdVB), etc. Different linear mathematical methods can be used to solve these models analytically, such as the Inverse Scattering Transformation (IST), Adomian Decomposition Method, Variational Iteration Method (VIM), Homotopy Analysis Method (HAM) and Homotopy Perturbation Method (HPM) Other non-analytic methods use the computational techniques available in such popular mathematical packages as Mathematica, Maple, and MATLAB. The main purpose of this volume is to provide physicists, engineers, and their students with the proper methods and tools to solve the soliton equations, and to discover the new possibilities of using solitons in multi-disciplinary areas ranging from telecommunications to biology, cosmology, and oceanographic studies.
650 0 $a Solitons. $3 207908
700 1 $a Helal, Mohamed Atef. $3 939659
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eReference
830 0 $a Encyclopedia of complexity and systems science series. $3 822578
856 4 0 $u https://doi.org/10.1007/978-1-0716-2457-9
950 $a Physics and Astronomy (SpringerNature-11651)
950 $a Reference Module Physical and Materials Science (SpringerNature-43751)