Solitons

ISBN-13: 9783110549249 / Angielski / Twarda / 2018 / 376 str.

Boling Guo;Xiao-Feng Pang;Yu-Feng Wang

Opis

The 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.

Recenzje

"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

Spis treści

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

O autorze

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