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Solitons (Hardcover)
Boling Guo, Xiao-Feng Pang, Yufeng Wang, Nan Liu
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R4,966
Discovery Miles 49 660
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Ships in 10 - 15 working days
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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. Contents Introduction Inverse
scattering transform Asymptotic behavior to initial value problems
for some integrable evolution nonlinear equations Interaction of
solitons and its asymptotic properties Hirota method Backlund
transformations and the infinitely many conservation laws
Multi-dimensional solitons and their stability Numerical
computation methods for some nonlinear evolution equations The
geometric theory of solitons Global existence and blow up for the
nonlinear evolution equations The soliton movements of elementary
particles in nonlinear quantum field The theory of soliton movement
of superconductive features The soliton movements in condensed
state systemsontents
This book presents a complete review of the theory of nonlinear
quantum mechanics and which differs totally from the original
discipline of quantum mechanics as well as the studies the nature
of microscopic particles under action of the nonlinear interactions
in the systems; which give numerous new and interesting properties
and rules of motions of the particles, such as wave-corpuscle
duality and localization, and which discusses the applications of
theory as relates to condensed matter, polymers, and biological
systems. It is intended for researchers, teachers, graduate
students and upper-level undergraduate students. The so-called
discipline of nonlinear quantum mechanics (NLQM) is, in reality,
only a theory for studying the properties and motion of microscopic
particles (MIPs) in nonlinear physical systems. It was so named in
relation to the concept of quantum mechanics established by Bohr,
Heisenberg, Schrodinger and numerous others. The latter deals only
with the properties and motion of microscopic particles in linear
systems without nonlinear interactionh and will, here-in-after,
referred to as linear quantum mechanics (LQM). The following topics
are covered in 6 chapters i
This book provides a broad and complete introductions to the
molecular structure, novel and anomalous properties, nonlinear
excitations, soliton motions, magnetization, and biological effects
of water. These subjects are described by both experimental results
and theoretical analyses. These contents are very interesting and
helpful to elucidate and explain the problem of "what is on earth
water". This book contains the research results of the author and
plenty of scientists in recent decades."Water: Molecular Structure
and Properties" is self-contained and unified in presentation. It
may be used as an advanced textbook by graduate students and even
ambitious undergraduates in Physics and Biology. It is also
suitable for the researchers and engineers in Physics, Biology and
water science.
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