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- catalog abstract "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.".
- catalog contributor b4555347.
- catalog created "c1994.".
- catalog date "1994".
- catalog date "c1994.".
- catalog dateCopyrighted "c1994.".
- catalog description "1. Introduction -- 2. Riemann Surfaces and Theta Functions -- 3. Finite-Gap Solutions of the Kadomtsev-Petviashvili and the Korteveg -- de Vries Equations -- 4. Vector Valued Baker-Akhiezer Functions and Finite-Gap Solutions of the Nonlinear Schrodinger and Sine-Gordon Equations -- 5. Uniformization of Riemann Surfaces and Effectivization of Theta Function Formulas -- 6. Theta Function Formulas for Classical Tops -- 7. Algebro-Geometric Principles of Superposition of Finite-Gap Solutions of Integrable Nonlinear Equations -- 8. An Application: The Peierls-Frohlich Problem and Finite-Gap Potentials.".
- catalog description "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.".
- catalog description "Includes bibliographical references.".
- catalog description "This book is suitable for use as a supplementary text to a course in mathematical physics.".
- catalog extent "xii, 337 p. :".
- catalog hasFormat "Algebro-geometric approach to nonlinear integrable equations.".
- catalog identifier "0387502653 (New York : acid-free)".
- catalog identifier "3540502653 (Berlin : acid-free)".
- catalog isFormatOf "Algebro-geometric approach to nonlinear integrable equations.".
- catalog isPartOf "Springer series in nonlinear dynamics".
- catalog issued "1994".
- catalog issued "c1994.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "Algebro-geometric approach to nonlinear integrable equations.".
- catalog subject "515/.353 20".
- catalog subject "Differential equations, Nonlinear Numerical solutions.".
- catalog subject "Inverse scattering transform.".
- catalog subject "Mathematical physics.".
- catalog subject "QC20.7.D5 A44 1994".
- catalog tableOfContents "1. Introduction -- 2. Riemann Surfaces and Theta Functions -- 3. Finite-Gap Solutions of the Kadomtsev-Petviashvili and the Korteveg -- de Vries Equations -- 4. Vector Valued Baker-Akhiezer Functions and Finite-Gap Solutions of the Nonlinear Schrodinger and Sine-Gordon Equations -- 5. Uniformization of Riemann Surfaces and Effectivization of Theta Function Formulas -- 6. Theta Function Formulas for Classical Tops -- 7. Algebro-Geometric Principles of Superposition of Finite-Gap Solutions of Integrable Nonlinear Equations -- 8. An Application: The Peierls-Frohlich Problem and Finite-Gap Potentials.".
- catalog title "Algebro-geometric approach to nonlinear integrable equations / E.D. Belokolos ... [et al.].".
- catalog type "text".