Research Reports in Physics
1 total work
Solitons and Chaos
Published 26 November 1991
"Solitons and Chaos" is a response to the growing interest
in systems exhibiting these two complementary manifestations
of nonlinearity. The papers cover a wide range of topics but
share common mathematical notions and investigation
techniques. An introductory note on eight concepts of
integrability has been added as a guide for the uninitiated
reader. Both specialists and graduate students will find
this update on the state ofthe art useful.
Key points: chaos vs. integrability; solitons: theory and
applications; dissipative systems; Hamiltonian systems; maps
and cascades; direct vs. inverse methods; higher dimensions;
Lie groups, Painleve analysis, numerical algorithms;
pertubation methods.
in systems exhibiting these two complementary manifestations
of nonlinearity. The papers cover a wide range of topics but
share common mathematical notions and investigation
techniques. An introductory note on eight concepts of
integrability has been added as a guide for the uninitiated
reader. Both specialists and graduate students will find
this update on the state ofthe art useful.
Key points: chaos vs. integrability; solitons: theory and
applications; dissipative systems; Hamiltonian systems; maps
and cascades; direct vs. inverse methods; higher dimensions;
Lie groups, Painleve analysis, numerical algorithms;
pertubation methods.