Academic Journal
An Exactly Solvable Model for the Interaction of Linear Waves with Korteweg--de Vries Solitons: An exactly solvable model for the interaction of linear waves with Korteweg--de Vries solitons
| Τίτλος: | An Exactly Solvable Model for the Interaction of Linear Waves with Korteweg--de Vries Solitons: An exactly solvable model for the interaction of linear waves with Korteweg--de Vries solitons |
|---|---|
| Συγγραφείς: | Peter D. Miller, Simon R Clarke |
| Πηγή: | SIAM Journal on Mathematical Analysis. 33:261-285 |
| Publication Status: | Preprint |
| Στοιχεία εκδότη: | Society for Industrial & Applied Mathematics (SIAM), 2001. |
| Έτος έκδοσης: | 2001 |
| Θεματικοί όροι: | Soliton equations, Nonlinear Sciences - Exactly Solvable and Integrable Systems, wave trapping, FOS: Physical sciences, Completeness of sets of functions in one variable harmonic analysis, coupled systems, Pattern Formation and Solitons (nlin.PS), Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems, Nonlinear Sciences - Pattern Formation and Solitons, 01 natural sciences, KdV equations (Korteweg-de Vries equations), Korteweg-de Vries equation, 0103 physical sciences, solitons, Exactly Solvable and Integrable Systems (nlin.SI), completeness relations |
| Περιγραφή: | Under certain mode-matching conditions, small-amplitude waves can be trapped by coupling to solitons of nonlinear fields. We present a model for this phenomenon, consisting of a linear equation coupled to the Korteweg-de Vries equation. The model has one parameter, a coupling constant. For one value of the coupling constant the model becomes the linearized KdV equation. We solve the problem exactly for a different value of the coupling parameter, for which the solutions behave differently. We describe an application of our results to the dynamics of molecules. 22 Pages. To appear in SIAM J. Math. Anal |
| Τύπος εγγράφου: | Article |
| Περιγραφή αρχείου: | application/xml |
| Γλώσσα: | English |
| ISSN: | 1095-7154 0036-1410 |
| DOI: | 10.1137/s0036141099365431 |
| DOI: | 10.48550/arxiv.nlin/0101027 |
| Σύνδεσμος πρόσβασης: | http://www.math.lsa.umich.edu/~millerpd/docs/J25.pdf http://arxiv.org/abs/nlin/0101027 https://zbmath.org/1670350 https://doi.org/10.1137/s0036141099365431 http://www.math.lsa.umich.edu/~millerpd/docs/J25.pdf https://research.monash.edu/en/publications/an-exactly-solvable-model-for-the-interaction-of-linear-waves-wit https://dblp.uni-trier.de/db/journals/siamma/siamma33.html#MillerC01 https://epubs.siam.org/doi/abs/10.1137/S0036141099365431 http://doi.org/10.1137/S0036141099365431 https://doi.org/10.1137/S0036141099365431 |
| Rights: | arXiv Non-Exclusive Distribution |
| Αριθμός Καταχώρησης: | edsair.doi.dedup.....693f9bb28f8652d1e03dd9c5f1f818ff |
| Βάση Δεδομένων: | OpenAIRE |
| ISSN: | 10957154 00361410 |
|---|---|
| DOI: | 10.1137/s0036141099365431 |