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Solitons / Mohamed Atef Helal, editor.

Helal, Mohamed Atef, editor.
2022
QC174.26.W28
Available Online
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Title
Solitons / Mohamed Atef Helal, editor.
ISBN
9781071624579 (electronic bk.)
1071624571 (electronic bk.)
9781071624562
1071624563
DOI
https://doi.org/10.1007/978-1-0716-2457-9
Published
New York : Springer, [2022]
Copyright
©2022
Language
English
Description
1 online resource (xxiv, 475 pages) : illustrations (chiefly color).
Item Number
10.1007/978-1-0716-2457-9 doi
Call Number
QC174.26.W28
Dewey Decimal Classification
530.12/4
Summary
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 Schrodinger (NLS), Korteweg-de-Vries Burgers (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.
Note
"A volume in the Encyclopedia of complexity and systems science, second edition."
Includes index.
Access Note
Access limited to authorized users.
Source of Description
Description based on print version record.
Added Author
Helal, Mohamed Atef, editor.
Series
Encyclopedia of complexity and systems science series ; second edition.
Available in Other Form
Solitons.
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All Resources
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.

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