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Stability of Line Solitons for the KP-II Equation in R 2
The author proves nonlinear stability of line soliton solutions of the KP-II equation with respect to transverse perturbations that are exponentially localized as x\to\infty. He finds that the amplitude of the line soliton converges to that of the line soliton at initial time whereas jumps of the lo...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
2015.
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| Colección: | Memoirs of the American Mathematical Society.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Mu 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_ocn982011889 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr |n|---||||| | ||
| 008 | 170408s2015 riu o 000 0 eng d | ||
| 040 | |a EBLCP |b eng |e pn |c EBLCP |d OCLCO |d OCLCQ |d LOA |d OCLCO |d OCLCF |d K6U |d S9M |d VLY |d OCLCO |d OCLCQ |d OCLCO |d OCLCL | ||
| 019 | |a 1162278749 |a 1290075577 | ||
| 020 | |a 9781470426132 | ||
| 020 | |a 1470426137 | ||
| 029 | 1 | |a AU@ |b 000069467023 | |
| 035 | |a (OCoLC)982011889 |z (OCoLC)1162278749 |z (OCoLC)1290075577 | ||
| 050 | 4 | |a QC174.26.W28M59 2015 | |
| 082 | 0 | 4 | |a 530.124 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Mizumachi, Tetsu. | |
| 245 | 1 | 0 | |a Stability of Line Solitons for the KP-II Equation in R 2 |
| 260 | |a Providence : |b American Mathematical Society, |c 2015. | ||
| 300 | |a 1 online resource (110 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society ; |v v. 238 | |
| 588 | 0 | |a Print version record. | |
| 520 | |a The author proves nonlinear stability of line soliton solutions of the KP-II equation with respect to transverse perturbations that are exponentially localized as x\to\infty. He finds that the amplitude of the line soliton converges to that of the line soliton at initial time whereas jumps of the local phase shift of the crest propagate in a finite speed toward y=\pm\infty. The local amplitude and the phase shift of the crest of the line solitons are described by a system of 1D wave equations with diffraction terms. | ||
| 504 | |a Includes bibliographical references. | ||
| 546 | |a English. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Solitons. | |
| 650 | 0 | |a Wave-motion, Theory of. | |
| 650 | 0 | |a Symmetry (Mathematics) | |
| 650 | 0 | |a Representations of algebras. | |
| 650 | 4 | |a Solitons. | |
| 650 | 6 | |a Solitons. | |
| 650 | 6 | |a Théorie du mouvement ondulatoire. | |
| 650 | 6 | |a Symétrie (Mathématiques) | |
| 650 | 6 | |a Représentations des algèbres. | |
| 650 | 7 | |a Representations of algebras |2 fast | |
| 650 | 7 | |a Solitons |2 fast | |
| 650 | 7 | |a Symmetry (Mathematics) |2 fast | |
| 650 | 7 | |a Wave-motion, Theory of |2 fast | |
| 758 | |i has work: |a Stability of line solitons for the KP equation in R2 (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFWwXPDYCyrhPHVjvWprRq |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Mizumachi, Tetsu. |t Stability of Line Solitons for the KP-II Equation in R 2. |d Providence : American Mathematical Society, ©2015 |z 9781470414245 |
| 830 | 0 | |a Memoirs of the American Mathematical Society. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=4832035 |z Texto completo |
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL4832035 | ||
| 994 | |a 92 |b IZTAP | ||