Algebro-geometric Approach To Nonlinear Integrable Equations (springer Series In Nonlinear Dynamics)
by Alexander I. Bobenko /
1994 / English / DjVu
14.7 MB Download
A brief but self-contained exposition of the basics of Riemann
surfaces and theta functions prepares the reader for the main
subject of this text, namely the application of these theories to
solving nonlinear integrable equations for various physical
systems. Physicists and engineers involved in studying solitons,
phase transitions, or dynamical (gyroscopic) systems, and
mathematicians with some background in algebraic geometry and
abelian and automorphic functions, are the targeted audience. This
book is suitable for use as a supplementary text to a course in
mathematical physics.
A brief but self-contained exposition of the basics of Riemann
surfaces and theta functions prepares the reader for the main
subject of this text, namely the application of these theories to
solving nonlinear integrable equations for various physical
systems. Physicists and engineers involved in studying solitons,
phase transitions, or dynamical (gyroscopic) systems, and
mathematicians with some background in algebraic geometry and
abelian and automorphic functions, are the targeted audience. This
book is suitable for use as a supplementary text to a course in
mathematical physics.
