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Solitons

Boling Guo, Xiao-Feng Pang, Yu-Feng Wang, Nan Liu (Autoren)

Buch | Hardcover

VIII, 368 Seiten

2018
De Gruyter (Verlag)
978-3-11-054924-9 (ISBN)

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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

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

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

"Overall, this book covers differential types of soliton equations along with their dynamical behaviors and applications from physics. Mathematical methods are described together with applications and numerical experiments. The book provides a good reference source for young researchers and graduate students in applied mathematics and physics."
Dmitry Pelinovsky in: Zentralblatt MATH 1406.35001

Erscheinungsdatum	16.03.2018
Zusatzinfo	50 b/w ill.
Verlagsort	Berlin/Boston
Sprache	englisch
Maße	170 x 240 mm
Gewicht	826 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Schlagworte	Applied • Applied mathematics • Chemoinformatics • Differential Equations • Differential Equations and Dynamical Systems • Mathematical & Computational • Mathematics • Mathematik • Mechanics • NTIE-KANG • Physics • Science • stem • Theoretical and Mathematical Physics
ISBN-10	3-11-054924-7 / 3110549247
ISBN-13	978-3-11-054924-9 / 9783110549249
Zustand	Neuware