Nonlinear evolution equations: integrability and spectral methods
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Manchester [u.a.]
Manchester Univ. Press
1990
|
| Series: | Proceedings in nonlinear science
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | 619 S. Ill., graph. Darst. |
| ISBN: | 0719032733 |
Staff View
MARC
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| 245 | 1 | 0 | |a Nonlinear evolution equations |b integrability and spectral methods |c ed. by A. Degasperis ... |
| 264 | 1 | |a Manchester [u.a.] |b Manchester Univ. Press |c 1990 | |
| 300 | |a 619 S. |b Ill., graph. Darst. | ||
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| 337 | |b n |2 rdamedia | ||
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| 490 | 0 | |a Proceedings in nonlinear science | |
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| 650 | 4 | |a Evolution equations, Nonlinear | |
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Record in the Search Index
| _version_ | 1804118778509787136 |
|---|---|
| adam_text | CONTENTS
Preface
Contributors
Part
1
Inverse Spectral Methods and Other Solution
Techniques
1.
Some recent results in solitons theory.
1
A. S. Fokas
2.
The spectral problem for the Davey-Stewartson and
Ishimori hierarchies
15
R.Beals and R.R. Coif man
3.
Exact solutions of nonlinear evolution equations in
the strong coupling limit
25
C.L.Schultz
and M.J.Ablowltz
4.
Rational reflection coefficients
33
Ľ.
Atkinson
B. Two-dimensional spectral transforms
41
P.J.Caudrey
6.
Integro-differential evolution equations associated
with a Riemann-Hilbert spectral problem
53
A.Degasperis
7.
Inverse scattering and forced nonlinear systems
65
R.Carroll
8.
Initial value problems for the Burgers equation
73
S.De Llllo
9.
Cauchy problem for the sine-Gordon equation with
periodic initial conditions
81
M. Jaworski
10
Singular general evolutions in
1+1
and
2+1
dimensions
91
J.J.Leon and F.Pempinelli
11
Geroch group and inverse scattering method
103
D.
Maison
12
Explicit form of
Kicklund
transformations for
GL(N),U(N)and 0(2N) principal chiral fields
115
Gu
Chao
Kao
and Zhou Zixiang
13
A study of two evolution equations using the
wronsklan technique
125
N.C.Freeman and
C.Gilson
14
Wronskians and
шиї
ti
component
KP
hierarchies
137
J. J. C.
Nimmo
15
Exact solutions of the Zabolotskaya-Khokhlov
equation
147
J.Gibbons
and Y.
Kodarna
Part
2
Pai
nieve
and Singularity Manifolds
157
16
The soliton singularity transfora
159
B.
Fuchssteiner
and S.
Carillo
Contents
17
Paini
evé-Bäcklund transformation
for the
Kuramoto-Sivashinsky
equation
175
M.Musette
18
Paini
evé
analysis and
Bäcklund
transformation of
the
non-integrable
КРР
partial differential
equat ion
185
R.
Conte
19
Rigorous non-integrability results related to
singularity analysis
193
A.Ramani.B.Grammaticos and H.Yoshida
20
Painievé
property and
pseudopotent
ials for
noni
inearevolution equations (tables)
213
tf.C.Nucci
21
Lie-group-similarity analysis of coupled nonlinear
Schrödinger
equations
229
G.
Baumann
and J.F.
Nonnenmacher
22
Painlevé
analysis and solutions of Nagumo equation
239
P.Kaliappan
Part
3
Special Solutions
247
23
Localised solltons in the plane
249
M.Boiti, J.J.P.Leon, L.Martina and F.Pempinelli
24
Modulation of trapped waves giving approximate
two-dimensional solitons (Abstract)
263
P.C.
Sabat ier
25
Capture and confinement of solitons in nonlinear
integrable
systems
265
V.K.Mel nikov
26
Darboux s method and some explicit solutions of the
KP
equation
271
F.A.Grunbaum
27
Comments on the periodic nonlinear
Schrödinger 279
equat ion
J.
N.
Elgin
28
Some specific solutions of some coupled nonlinear
equations
287
C. Guha-Roy
29
Geometric method of integration of inhomogeneous
Heisenberg
chain
295
J.
Cíeslínski
30
Recent results from the search for bilinear
equations having three-soliton solutions
307
J. Hiertarinta
Part
4
Algebraic Methods and Hamilton!an Theory
319
31
On the operator structures underlying integrability
321
P.M.
Sant
ini
32
Operator representation of
integrable
equations
339
B.G.
Konope
Icbenko
33
Non·
commitat
ive
symmetries and new solutions of the
Harry Qym equation
351
S.Carl
Ilo
and B.Fucnssteiner
Contents
34
Z
-reductions and new
integrable
versions of
nonlinear
Schrödinger
equations
367
V. S. Gerdjikov
35
Reduction of
3x3
polynomial bundles and new types
of
integrable
3-wa.ve interactions
373
V.S. Gerdjikov and D.J.Kaup
36
Sylvester s law in infinite dimensions
381
A.Csizmazia
37
Hamiltonian operators and Mi
ura
maps from lax
operators: energy dependent
Schrödinger
operations
and their super extensions
391
M.Antonowicz and A.P.
Fordy
38
Compatible
Poisson
brackets for
integrable
equations
:
an r-matrix approach
415
A.G.Reyman
39
Dirac structures and intergrability of nonlinear
evolution equations
425
I.Dorfman
40
Reductions of non-local Hamiltonian structures
433
C.Athorne
41
Canonical co-ordinates and
affine
Lie algebras
441
I.Marshall
42
On some problems of the Korteweg-de
Vries
equation
451
A.Kundu and B.Basu
Hallick
Part
5
Hon-Integrable
Systems
461
43
Finite dimensionality in the complex
Ginzburg-Landau equations
463
C.R.Doer
ing, J.D.
Gibbon and
D.D.
Holm
44
On the creation of vortices under phase transitions
477
S.V. Manakov and V.G.Kamensky
45
Generation of solitons by non-integrable systems
483
C.J.
Camacho
and F.Lund
46
Complex dynamical system for the
Toda
lattice
497
K.
Konno
47
Complete integrability and stochastization of
Yukawa s equation for quantum chaos
505
И.
Hasegawa
48
Integrability and nonintegrability aspect of
quantum chaos
515
K.Nakamira
Part
6
Physical Applications
523
49
Exactly solvable models and new link polynomials
525
M.
Vadati, T.Deguchi
and Y.Akutsu
50
Multidimensional lattice integrability and the
siMplex equations
537
J.M.
Maillet
and F.MJhoff
51
On the nonlinear dynamics of the one-diaensional
classical
Heisenberg
Ferromagnetic spin chain
549
M.Lakshmanan, K.Porsezian and M.Daniel
52
A siMMBable multi-scale expansion for the KdV
equation
559
Contents
A.Osborne and G.
Buffetta
53
Geometric method for solving the boundary problem
in the theory of relativistic strings with massive
ends
571
B.M.Barbashov and A.M.Chervyakov
54
Nonlinear
de Broglie
waves and the relation between
relativistic and nonrelativistic solitons
579
A.
0.
Barut
and
B.V.Baby
55
Nonlinear rotation of polarization ellipse of waves
in plasmas and other media
589
B.Chakraborty and S.
Särkar
56
Quantum and classical statistical mechanics of the
integrable
models
605
R.K.Ballougb, J.Timonen, Yu-Zhong Chen and M.Stirland
|
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| genre | (DE-588)1071861417 Konferenzschrift 1988 Como gnd-content |
| genre_facet | Konferenzschrift 1988 Como |
| id | DE-604.BV004659793 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:15:42Z |
| institution | BVB |
| isbn | 0719032733 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002862506 |
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| physical | 619 S. Ill., graph. Darst. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | Manchester Univ. Press |
| record_format | marc |
| series2 | Proceedings in nonlinear science |
| spelling | Nonlinear evolution equations integrability and spectral methods ed. by A. Degasperis ... Manchester [u.a.] Manchester Univ. Press 1990 619 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Proceedings in nonlinear science Literaturangaben Evolution equations, Nonlinear Spectral theory (Mathematics) Soliton (DE-588)4135213-0 gnd rswk-swf Spektralmethode (DE-588)4224817-6 gnd rswk-swf Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Nichtlineare Evolutionsgleichung (DE-588)4221363-0 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 1988 Como gnd-content Nichtlineare Evolutionsgleichung (DE-588)4221363-0 s Spektraltheorie (DE-588)4116561-5 s DE-604 Spektralmethode (DE-588)4224817-6 s 1\p DE-604 Soliton (DE-588)4135213-0 s 2\p DE-604 Degasperis, Antonio Sonstige oth Digitalisierung TU Muenchen application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002862506&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Nonlinear evolution equations integrability and spectral methods Evolution equations, Nonlinear Spectral theory (Mathematics) Soliton (DE-588)4135213-0 gnd Spektralmethode (DE-588)4224817-6 gnd Spektraltheorie (DE-588)4116561-5 gnd Nichtlineare Evolutionsgleichung (DE-588)4221363-0 gnd |
| subject_GND | (DE-588)4135213-0 (DE-588)4224817-6 (DE-588)4116561-5 (DE-588)4221363-0 (DE-588)1071861417 |
| title | Nonlinear evolution equations integrability and spectral methods |
| title_auth | Nonlinear evolution equations integrability and spectral methods |
| title_exact_search | Nonlinear evolution equations integrability and spectral methods |
| title_full | Nonlinear evolution equations integrability and spectral methods ed. by A. Degasperis ... |
| title_fullStr | Nonlinear evolution equations integrability and spectral methods ed. by A. Degasperis ... |
| title_full_unstemmed | Nonlinear evolution equations integrability and spectral methods ed. by A. Degasperis ... |
| title_short | Nonlinear evolution equations |
| title_sort | nonlinear evolution equations integrability and spectral methods |
| title_sub | integrability and spectral methods |
| topic | Evolution equations, Nonlinear Spectral theory (Mathematics) Soliton (DE-588)4135213-0 gnd Spektralmethode (DE-588)4224817-6 gnd Spektraltheorie (DE-588)4116561-5 gnd Nichtlineare Evolutionsgleichung (DE-588)4221363-0 gnd |
| topic_facet | Evolution equations, Nonlinear Spectral theory (Mathematics) Soliton Spektralmethode Spektraltheorie Nichtlineare Evolutionsgleichung Konferenzschrift 1988 Como |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002862506&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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