The nonlinear Schrödinger equation self-focusing and wave collapse / Catherine Sulem, Pierre-Louis Sulem
| Author(s): | Sulem, C. (Catherine), 1957- |
|---|---|
| Online: | Connect to OhioLINK EBC |
| Location: |
Retrieving Holdings Information |
| Subjects: | Schrödinger equation Nonlinear theories |
| Formats: | Electronic Resource, Remote |
| Material Type: | Books |
| Language: | English |
| Audience: | Unspecified |
| Published: | New York : Springer, c1999 |
| Series: | Applied mathematical sciences 139 Applied mathematical sciences (Springer-Verlag New York Inc.) v. 139 |
| LC Classification: | Q, QC |
| Table of Contents: | Preface I. Basic Framework 1 1. The Physical Context 3 2. Structural Properties 27 II. Rigorous Theory 41 3. Existence and Long-Time Behavior 43 4. Standing Wave Solutions 71 5. Blowup Solutions 93 III. Asymptotic Analysis near Collapse 113 6. Numerical Observations 115 7. Supercritical Collapse 133 8. Critical Collapse 141 9. Perturbations of Focusing NLS 161 IV. Coupling to a Mean Field 187 10. Mean Field Generation 189 11. Gravity-Capillary Surface Waves 205 12. The Davey-Stewartson System 221 V. Coupling to Acoustic Waves 243 13. Langmuir Oscillations 245 14. The Scalar Model 263 15. Progressive Waves in Plasmas 287 Synopsis 307 References 309 Name Index 339 Subject Index 347 |
| Alternate Titles: | In: OhioLINK electronic book center (OCoLC)180989150 In: SpringerLink (OCoLC)43927870 Issued in other form: Sulem, C. (Catherine), 1957- Nonlinear Schrödinger equation : self-focusing and wave collapse (OCoLC)40543809 |
| Additional Authors: | Sulem, P. L SpringerLink (Online service) |
| Notes: | LCCN: 98053840 ISBN: 0387986111 (acid-free paper) ISBN: 9780387986111 (acid-free paper) Includes bibliographical references (p. [309]-338) and indexes Available to OhioLINK libraries Reproduction notes: Electronic reproduction. Columbus, OH : OhioLINK, 2008. s2008 ohun s Mode of access: World Wide Web |
| Physical Description: | xvi, 350 p. : ill. ; 24 cm |
| OCLC Number: | 612000913 |
| ISBN/ISSN: | 0387986111 9780387986111 |