Solitons

1. Auflage 2018
ISBN: 978-3-11-054924-9
Verlag: De Gruyter

Buch, Englisch, 368 Seiten, Format (B × H): 175 mm x 246 mm, Gewicht: 816 g

This book provides an up-to-date overview of mathematical theories and research results on solitons, presenting related mathematical methods and applications as well as numerical experiments. Different types of soliton equations are covered along with their dynamical behaviors and applications from physics, making the book an essential reference for researchers and graduate students in applied mathematics and physics. ContentsIntroductionInverse scattering transformAsymptotic behavior to initial value problems for some integrable evolution nonlinear equationsInteraction of solitons and its asymptotic propertiesHirota methodBäcklund transformations and the infinitely many conservation lawsMulti-dimensional solitons and their stabilityNumerical computation methods for some nonlinear evolution equationsThe geometric theory of solitonsGlobal existence and blow up for the nonlinear evolution equationsThe soliton movements of elementary particles in nonlinear quantum fieldThe theory of soliton movement of superconductive featuresThe soliton movements in condensed state systemsontents

Zielgruppe

Researchers and graduate students in mathematics and physics.

Autoren/Hrsg.

Guo, Boling

Liu, Nan

Pang, Xiao-Feng

Wang, Yu-Feng

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik

Inhaltsverzeichnis

Contents Chapter 1 Introduction
Chapter 2 Inverse Scattering Methods
Chapter 3 Well-posed and asymptotic behaviors to initial boundary value problem for some integrable evolution nonlinear equations
Chapter 4 Interaction of solitons and its asymptotic properties
Chapter 5 Hirota methods
Chapter 6 Bäcklund Transformations and the infinite conservation laws
Chapter 7 Multidimensional soliton and its stability
Chapter 8 Numerical computation method for some nonlinear evolution equations
Chapter 9 The geometric theory of soliton
Chapter 10 Global existence and blow up for the nonlinear evolution equations
Chapter 11 Topological soliton and non-topological soliton
Chapter 12 Solitons in the condensed state physics
References

Über Autor(innen)

B. Guo, Y. Wang and N. Liu, Inst. of Appl. Phys. & Comp. Math., China; X. Pan, Univ. of Electr. Sci. & Tech., China.