Hamiltonian Methods in the Theory of Solitons
The main characteristic of this now classic exposition of the inverse scattering method and its applications to soliton theory is its consistent Hamiltonian approach to the theory. The nonlinear Schrödinger equation, rather than the (more usual) KdV equation, is considered as a main example. The inv...
Saved in:
| Main Authors: | , |
|---|---|
| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2007.
|
| Edition: | 1st ed. 2007. |
| Series: | Classics in Mathematics,
|
| Subjects: | |
| Online Access: | https://doi.org/10.1007/978-3-540-69969-9 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| LEADER | 03389nam a22005655i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-69969-9 | ||
| 003 | DE-He213 | ||
| 005 | 20200630045812.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2007 gw | s |||| 0|eng d | ||
| 020 | |a 9783540699699 |9 978-3-540-69969-9 | ||
| 024 | 7 | |a 10.1007/978-3-540-69969-9 |2 doi | |
| 050 | 4 | |a QC19.2-20.85 | |
| 072 | 7 | |a PHU |2 bicssc | |
| 072 | 7 | |a SCI040000 |2 bisacsh | |
| 072 | 7 | |a PHU |2 thema | |
| 082 | 0 | 4 | |a 530.1 |2 23 |
| 100 | 1 | |a Faddeev, Ludwig. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Hamiltonian Methods in the Theory of Solitons |h [electronic resource] / |c by Ludwig Faddeev, Leon Takhtajan. |
| 250 | |a 1st ed. 2007. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2007. | |
| 300 | |a IX, 592 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Classics in Mathematics, |x 1431-0821 | |
| 505 | 0 | |a The Nonlinear Schrödinger Equation (NS Model) -- Zero Curvature Representation -- The Riemann Problem -- The Hamiltonian Formulation -- General Theory of Integrable Evolution Equations -- Basic Examples and Their General Properties -- Fundamental Continuous Models -- Fundamental Models on the Lattice -- Lie-Algebraic Approach to the Classification and Analysis of Integrable Models -- Conclusion -- Conclusion. . | |
| 520 | |a The main characteristic of this now classic exposition of the inverse scattering method and its applications to soliton theory is its consistent Hamiltonian approach to the theory. The nonlinear Schrödinger equation, rather than the (more usual) KdV equation, is considered as a main example. The investigation of this equation forms the first part of the book. The second part is devoted to such fundamental models as the sine-Gordon equation, Heisenberg equation, Toda lattice, etc, the classification of integrable models and the methods for constructing their solutions. | ||
| 650 | 0 | |a Mathematical physics. | |
| 650 | 0 | |a Partial differential equations. | |
| 650 | 0 | |a Integral equations. | |
| 650 | 0 | |a Global analysis (Mathematics). | |
| 650 | 0 | |a Manifolds (Mathematics). | |
| 650 | 1 | 4 | |a Theoretical, Mathematical and Computational Physics. |0 https://scigraph.springernature.com/ontologies/product-market-codes/P19005 |
| 650 | 2 | 4 | |a Partial Differential Equations. |0 https://scigraph.springernature.com/ontologies/product-market-codes/M12155 |
| 650 | 2 | 4 | |a Integral Equations. |0 https://scigraph.springernature.com/ontologies/product-market-codes/M12090 |
| 650 | 2 | 4 | |a Global Analysis and Analysis on Manifolds. |0 https://scigraph.springernature.com/ontologies/product-market-codes/M12082 |
| 700 | 1 | |a Takhtajan, Leon. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783540698432 |
| 776 | 0 | 8 | |i Printed edition: |z 9783540834922 |
| 776 | 0 | 8 | |i Printed edition: |z 9783540155799 |
| 830 | 0 | |a Classics in Mathematics, |x 1431-0821 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-540-69969-9 |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||