Matches in SemOpenAlex for { <https://semopenalex.org/work/W2952845148> ?p ?o ?g. }
Showing items 1 to 94 of
94
with 100 items per page.
- W2952845148 abstract "We study nonlinear systems of hyperbolic (in a wider sense) PDE's in entire d-dimensional space describing wave propagation with the initial data in the form of a finite sum of wavepackets referred to as multi-wavepackets. The problem involves two small parameters beta and rho where: (i) (1/beta) is a factor describing spatial extension of the wavepackets; (ii) (1/rho) is a factor describing the relative magnitude of the linear part of the evolution equation compared to its nonlinearity. For a wide range of the small parameters and on time intervals long enough for strong nonlinear effects we prove that multi-wavepackets are preserved under the nonlinear evolution. In particular, the corresponding wave vectors and the band numbers of involved wavepackets are conserved quantities. We also prove that the evolution of a multi-wavepacket is described with high accuracy by a properly constructed system of envelope equations with a universal nonlinearity which in simpler cases turn into well-known Nonlinear Schrodinger or coupled modes equations. The universal nonlinearity is obtained by a certain time averaging applied to the original nonlinearity. This can be viewed as an extension of the well known averaging method developed for finite-dimensional nonlinear oscillatory systems to the case of a general translation invariant PDE systems with the linear part having continuous spectrum." @default.
- W2952845148 created "2019-06-27" @default.
- W2952845148 creator A5000151826 @default.
- W2952845148 creator A5008939359 @default.
- W2952845148 date "2006-07-27" @default.
- W2952845148 modified "2023-09-27" @default.
- W2952845148 title "Wavepacket preservation under nonlinear evolution" @default.
- W2952845148 cites W1568553102 @default.
- W2952845148 cites W1573372113 @default.
- W2952845148 cites W1609571165 @default.
- W2952845148 cites W1988388998 @default.
- W2952845148 cites W1990248598 @default.
- W2952845148 cites W1997475090 @default.
- W2952845148 cites W2004731569 @default.
- W2952845148 cites W2006112102 @default.
- W2952845148 cites W2010095827 @default.
- W2952845148 cites W2032135816 @default.
- W2952845148 cites W2054835634 @default.
- W2952845148 cites W2060599877 @default.
- W2952845148 cites W2073926310 @default.
- W2952845148 cites W2080935953 @default.
- W2952845148 cites W2089996117 @default.
- W2952845148 cites W2111542814 @default.
- W2952845148 cites W2137598555 @default.
- W2952845148 cites W2170019858 @default.
- W2952845148 cites W2325613110 @default.
- W2952845148 cites W590538120 @default.
- W2952845148 cites W653452169 @default.
- W2952845148 hasPublicationYear "2006" @default.
- W2952845148 type Work @default.
- W2952845148 sameAs 2952845148 @default.
- W2952845148 citedByCount "0" @default.
- W2952845148 crossrefType "posted-content" @default.
- W2952845148 hasAuthorship W2952845148A5000151826 @default.
- W2952845148 hasAuthorship W2952845148A5008939359 @default.
- W2952845148 hasConcept C106553664 @default.
- W2952845148 hasConcept C106978608 @default.
- W2952845148 hasConcept C121332964 @default.
- W2952845148 hasConcept C121864883 @default.
- W2952845148 hasConcept C130187892 @default.
- W2952845148 hasConcept C134306372 @default.
- W2952845148 hasConcept C158622935 @default.
- W2952845148 hasConcept C190470478 @default.
- W2952845148 hasConcept C33923547 @default.
- W2952845148 hasConcept C41008148 @default.
- W2952845148 hasConcept C554190296 @default.
- W2952845148 hasConcept C62520636 @default.
- W2952845148 hasConcept C63036615 @default.
- W2952845148 hasConcept C65155139 @default.
- W2952845148 hasConcept C76155785 @default.
- W2952845148 hasConcept C83774755 @default.
- W2952845148 hasConceptScore W2952845148C106553664 @default.
- W2952845148 hasConceptScore W2952845148C106978608 @default.
- W2952845148 hasConceptScore W2952845148C121332964 @default.
- W2952845148 hasConceptScore W2952845148C121864883 @default.
- W2952845148 hasConceptScore W2952845148C130187892 @default.
- W2952845148 hasConceptScore W2952845148C134306372 @default.
- W2952845148 hasConceptScore W2952845148C158622935 @default.
- W2952845148 hasConceptScore W2952845148C190470478 @default.
- W2952845148 hasConceptScore W2952845148C33923547 @default.
- W2952845148 hasConceptScore W2952845148C41008148 @default.
- W2952845148 hasConceptScore W2952845148C554190296 @default.
- W2952845148 hasConceptScore W2952845148C62520636 @default.
- W2952845148 hasConceptScore W2952845148C63036615 @default.
- W2952845148 hasConceptScore W2952845148C65155139 @default.
- W2952845148 hasConceptScore W2952845148C76155785 @default.
- W2952845148 hasConceptScore W2952845148C83774755 @default.
- W2952845148 hasLocation W29528451481 @default.
- W2952845148 hasOpenAccess W2952845148 @default.
- W2952845148 hasPrimaryLocation W29528451481 @default.
- W2952845148 hasRelatedWork W193174065 @default.
- W2952845148 hasRelatedWork W1976803405 @default.
- W2952845148 hasRelatedWork W1990211490 @default.
- W2952845148 hasRelatedWork W2006276459 @default.
- W2952845148 hasRelatedWork W2009419505 @default.
- W2952845148 hasRelatedWork W2015532482 @default.
- W2952845148 hasRelatedWork W2017081967 @default.
- W2952845148 hasRelatedWork W2017843749 @default.
- W2952845148 hasRelatedWork W2037037400 @default.
- W2952845148 hasRelatedWork W2049431714 @default.
- W2952845148 hasRelatedWork W2066211421 @default.
- W2952845148 hasRelatedWork W2126717834 @default.
- W2952845148 hasRelatedWork W2168009810 @default.
- W2952845148 hasRelatedWork W2806280987 @default.
- W2952845148 hasRelatedWork W2940149762 @default.
- W2952845148 hasRelatedWork W2963163205 @default.
- W2952845148 hasRelatedWork W3104212808 @default.
- W2952845148 hasRelatedWork W3200340498 @default.
- W2952845148 hasRelatedWork W3213431263 @default.
- W2952845148 hasRelatedWork W348008512 @default.
- W2952845148 isParatext "false" @default.
- W2952845148 isRetracted "false" @default.
- W2952845148 magId "2952845148" @default.
- W2952845148 workType "article" @default.