MARC details
| 000 -LEADER |
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| fixed length control field |
04014cam a22003858i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
55390 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20250619122235.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
|---|
| fixed length control field |
221102s2023 flu b 001 0 eng |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
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| LC control number |
2022052684 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781032429212 |
| Qualifying information |
(hardback) |
|
|---|
| International Standard Book Number |
9781032441160 |
| Qualifying information |
(paperback) |
|
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| Canceled/invalid ISBN |
9781003370543 |
| Qualifying information |
(ebook) |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
NU |
| Language of cataloging |
eng |
| Description conventions |
rda |
| Transcribing agency |
DLC |
| 041 ## - LANGUAGE CODE |
|---|
| Language code of text/sound track or separate title |
English |
| 042 ## - AUTHENTICATION CODE |
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| Authentication code |
pcc |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
515 VUP 2023 |
| Edition information |
23/eng20230119 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Vu, Pham Loi, |
| Relator term |
author. |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Inverse scattering problems and their application to nonlinear integrable equations / |
| Statement of responsibility, etc. |
Pham Loi Vu, Institute of Mechanics and the National Foundation for Science and Technology Development (NAFOSTED), Vietnam. |
| 250 ## - EDITION STATEMENT |
|---|
| Edition statement |
Second edition. |
| 263 ## - PROJECTED PUBLICATION DATE |
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| Projected publication date |
2302 |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
Boca Raton : |
| Name of producer, publisher, distributor, manufacturer |
CRC Press, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2023. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xxix,422 pages : |
| Other physical details |
illustrations ; |
| Dimensions |
24 cm |
| 336 ## - CONTENT TYPE |
|---|
| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
|---|
| Media type term |
unmediated |
| Media type code |
n |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
|---|
| Carrier type term |
volume |
| Carrier type code |
nc |
| Source |
rdacarrier |
| 490 0# - SERIES STATEMENT |
|---|
| Series statement |
Monographs & research notes in mathematics |
| 500 ## - GENERAL NOTE |
|---|
| General note |
Revised edition of: Inverse scattering problems and their application to nonlinear integrable equations / Pham Loi Vu. 1. 2019. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc. note |
Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
"Inverse Scattering Problems and Their Applications to Nonlinear Integrable Equations, Second Edition is devoted to inverse scattering problems (ISPs) for differential equations and their applications to nonlinear evolution equations (NLEEs). The book is suitable for anyone who has a mathematical background and interest in functional analysis, differential equations, and equations of mathematical physics. This book is intended for a wide community working with ISPs and their applications. There is an especially strong traditional community in mathematical physics. In this monograph, the problems are presented step-by-step, and detailed proofs are given for considered problems to make the topics more accessible for students who are approaching them for the first time. New to the Second Edition All new chapter dealing with the Backlund transformations between a common solution of both linear equations in the Lax pair and the solution of the associated IBVP for NLEEs on the half-line Updated references and concluding remarks Features Solving the direct and ISP, then solving the associated initial value problem (IVP) or initial-boundary value problem (IBVP) for NLEEs are carried out step-by-step. The unknown boundary values are calculated with the help of the Lax (generalized) equations, then the time-dependent scattering data (SD) are expressed in terms of preassigned initial and boundary conditions. Thereby, the potential functions are recovered uniquely in terms of the given initial and calculated boundary conditions. The unique solvability of the ISP is proved and the SD of the scattering problem is described completely. The considered ISPs are well-solved. The ISPs are set up appropriately for constructing the Backhund transformations (BTs) for solutions of associated IBVPs or IVPs for NLEEs. The procedure for finding a BT for the IBVP for NLEEs on the half-line differs from the one used for obtaining a BT for non-linear differential equations defined in the whole space. The interrelations between the ISPs and the constructed BTs are established to become new powerful unified transformations (UTs) for solving IBVPs or IVPs for NLEEs, that can be used in different areas of physics and mechanics. The application of the UTs is consistent and efficiently embedded in the scheme of the associated ISP"-- |
| Assigning source |
Provided by publisher. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Mathematics |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Relationship information |
Online version: |
| Main entry heading |
Vu, Pham Loi. |
| Title |
Inverse scattering problems and their application to nonlinear integrable equations |
| Edition |
Second edition. |
| Place, publisher, and date of publication |
Boca Raton : C&H/CRC Press, 2023 |
| International Standard Book Number |
9781003370543 |
| Record control number |
(DLC) 2022052685 |
| 906 ## - LOCAL DATA ELEMENT F, LDF (RLIN) |
|---|
| a |
7 |
| b |
cbc |
| c |
orignew |
| d |
1 |
| e |
ecip |
| f |
20 |
| g |
y-gencatlg |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Library Book |
| Suppress in OPAC |
No |
