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In view of the dramatically increased interest in the study of
grain boundaries during the past few years, the Physical Metal
lurgy Committee of The Institute of Metals Division of The Metal
lurgical Society, AIME, sponsored a four-session symposium on the
NATURE AND BEHAVIOR OF GRAIN BOUNDARIES, at the TMS-AIME Fall
Meeting in Detroit, Michigan, October 18-19, 1971. The main ob
jectives of this symposium were to examine the more recent develop
ments, theoretical and experimental, in our understanding of grain
boundaries, and to stimulate further studies in these and related
areas. This volume contains most of the papers presented at the
Symposium. It is regrettable that space limitations allow the
inclusion of only four of the unsolicited papers, in addition to
thirteen invited papers. The papers are grouped into three sections
according to their major content: STRUCTURE OF GRAIN BOUNDARIES,
ENERGETICS OF GRAIN BOUNDARIES, and GRAIN BOUNDARY MOTION AND
RELATED PHENOMENA. Grain boundaries, or crystal interfaces, have
been of both academic and practical interest for many years. An
early seminar on "Metal Interfaces" was documented in 1952 by ASM.
The Fourth Metallurgical Colloquium held in France, 1960, had a
broad coverage on "Properties of Grain Boundaries". More recently
the Australian Institute of Metals sponsored a conference on
interfaces, with the proceedings being published by Butterworths in
1969.
GU Chaohao The soliton theory is an important branch of nonlinear
science. On one hand, it describes various kinds of stable motions
appearing in - ture, such as solitary water wave, solitary signals
in optical ?bre etc., and has many applications in science and
technology (like optical signal communication). On the other hand,
it gives many e?ective methods ofgetting explicit solutions of
nonlinear partial di?erential equations. Therefore, it has
attracted much attention from physicists as well as mathematicians.
Nonlinearpartialdi?erentialequationsappearinmanyscienti?cpr- lems.
Getting explicit solutions is usually a di?cult task. Only in c-
tain special cases can the solutions be written down explicitly.
However, for many soliton equations, people have found quite a few
methods to get explicit solutions. The most famous ones are the
inverse scattering method, B] acklund transformation etc.. The
inverse scattering method is based on the spectral theory of
ordinary di?erential equations. The
Cauchyproblemofmanysolitonequationscanbetransformedtosolving a
system of linear integral equations. Explicit solutions can be
derived when the kernel of the integral equation is degenerate. The
B] ac ] klund transformation gives a new solution from a known
solution by solving a system of completely integrable partial
di?erential equations. Some complicated "nonlinear superposition
formula" arise to substitute the superposition principlein linear
science."
GU Chaohao The soliton theory is an important branch of nonlinear
science. On one hand, it describes various kinds of stable motions
appearing in - ture, such as solitary water wave, solitary signals
in optical ?bre etc., and has many applications in science and
technology (like optical signal communication). On the other hand,
it gives many e?ective methods ofgetting explicit solutions of
nonlinear partial di?erential equations. Therefore, it has
attracted much attention from physicists as well as mathematicians.
Nonlinearpartialdi?erentialequationsappearinmanyscienti?cpr- lems.
Getting explicit solutions is usually a di?cult task. Only in c-
tain special cases can the solutions be written down explicitly.
However, for many soliton equations, people have found quite a few
methods to get explicit solutions. The most famous ones are the
inverse scattering method, B] acklund transformation etc.. The
inverse scattering method is based on the spectral theory of
ordinary di?erential equations. The
Cauchyproblemofmanysolitonequationscanbetransformedtosolving a
system of linear integral equations. Explicit solutions can be
derived when the kernel of the integral equation is degenerate. The
B] ac ] klund transformation gives a new solution from a known
solution by solving a system of completely integrable partial
di?erential equations. Some complicated "nonlinear superposition
formula" arise to substitute the superposition principlein linear
science."
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