Matches in SemOpenAlex for { <https://semopenalex.org/work/W2949705013> ?p ?o ?g. }
Showing items 1 to 81 of
81
with 100 items per page.
- W2949705013 abstract "Bifurcations of solitary waves propagating along the interface between two ideal fluids are considered. The study is based on a Hamiltonian approach. It concentrates on values of the density ratio close to a critical one, where the supercritical bifurcation changes to the subcritical one. As the solitary wave velocity approaches the minimum phase velocity of linear interfacial waves (the bifurcation point), the solitary wave solutions transform into envelope solitons. In order to describe their behavior and bifurcations, a generalized nonlinear Schrodinger equation describing the behavior of solitons and their bifurcations is derived. In comparison with the classical NLS equation this equation takes into account three additional nonlinear terms: the so-called Lifshitz term responsible for pulse steepening, a nonlocal term analogous to that first found by Dysthe for gravity waves and the six-wave interaction term. We study both analytically and numerically two solitary wave families of this equation for values of the density ratio $rho$ that are both above and below the critical density ratio $rho_{cr}$. For $rho>rho_{cr}$, the soliton solution can be found explicitly at the bifurcation point. The maximum amplitude of such a soliton is proportional to $sqrt{rho-rho_{cr}}$, and at large distances the soliton amplitude decays algebraically. A stability analysis shows that solitons below the critical ratio are stable in the Lyapunov sense in the wide range of soliton parameters. Above the critical density ratio solitons are shown to be unstable with respect to finite perturbations." @default.
- W2949705013 created "2019-06-27" @default.
- W2949705013 creator A5019524802 @default.
- W2949705013 creator A5038689239 @default.
- W2949705013 creator A5082409837 @default.
- W2949705013 date "2005-12-01" @default.
- W2949705013 modified "2023-10-18" @default.
- W2949705013 title "Deep-water internal solitary waves near critical density ratio" @default.
- W2949705013 hasPublicationYear "2005" @default.
- W2949705013 type Work @default.
- W2949705013 sameAs 2949705013 @default.
- W2949705013 citedByCount "0" @default.
- W2949705013 crossrefType "posted-content" @default.
- W2949705013 hasAuthorship W2949705013A5019524802 @default.
- W2949705013 hasAuthorship W2949705013A5038689239 @default.
- W2949705013 hasAuthorship W2949705013A5082409837 @default.
- W2949705013 hasConcept C121332964 @default.
- W2949705013 hasConcept C126255220 @default.
- W2949705013 hasConcept C130787639 @default.
- W2949705013 hasConcept C134306372 @default.
- W2949705013 hasConcept C158622935 @default.
- W2949705013 hasConcept C180205008 @default.
- W2949705013 hasConcept C196298200 @default.
- W2949705013 hasConcept C2781349735 @default.
- W2949705013 hasConcept C33923547 @default.
- W2949705013 hasConcept C37914503 @default.
- W2949705013 hasConcept C41008148 @default.
- W2949705013 hasConcept C554190296 @default.
- W2949705013 hasConcept C62520636 @default.
- W2949705013 hasConcept C65155139 @default.
- W2949705013 hasConcept C74650414 @default.
- W2949705013 hasConcept C76155785 @default.
- W2949705013 hasConcept C83774755 @default.
- W2949705013 hasConcept C85075877 @default.
- W2949705013 hasConcept C87651913 @default.
- W2949705013 hasConceptScore W2949705013C121332964 @default.
- W2949705013 hasConceptScore W2949705013C126255220 @default.
- W2949705013 hasConceptScore W2949705013C130787639 @default.
- W2949705013 hasConceptScore W2949705013C134306372 @default.
- W2949705013 hasConceptScore W2949705013C158622935 @default.
- W2949705013 hasConceptScore W2949705013C180205008 @default.
- W2949705013 hasConceptScore W2949705013C196298200 @default.
- W2949705013 hasConceptScore W2949705013C2781349735 @default.
- W2949705013 hasConceptScore W2949705013C33923547 @default.
- W2949705013 hasConceptScore W2949705013C37914503 @default.
- W2949705013 hasConceptScore W2949705013C41008148 @default.
- W2949705013 hasConceptScore W2949705013C554190296 @default.
- W2949705013 hasConceptScore W2949705013C62520636 @default.
- W2949705013 hasConceptScore W2949705013C65155139 @default.
- W2949705013 hasConceptScore W2949705013C74650414 @default.
- W2949705013 hasConceptScore W2949705013C76155785 @default.
- W2949705013 hasConceptScore W2949705013C83774755 @default.
- W2949705013 hasConceptScore W2949705013C85075877 @default.
- W2949705013 hasConceptScore W2949705013C87651913 @default.
- W2949705013 hasLocation W29497050131 @default.
- W2949705013 hasOpenAccess W2949705013 @default.
- W2949705013 hasPrimaryLocation W29497050131 @default.
- W2949705013 hasRelatedWork W1839748598 @default.
- W2949705013 hasRelatedWork W1980165820 @default.
- W2949705013 hasRelatedWork W2002059310 @default.
- W2949705013 hasRelatedWork W2002628278 @default.
- W2949705013 hasRelatedWork W2008693774 @default.
- W2949705013 hasRelatedWork W2013098471 @default.
- W2949705013 hasRelatedWork W2015740381 @default.
- W2949705013 hasRelatedWork W2029739303 @default.
- W2949705013 hasRelatedWork W2040827393 @default.
- W2949705013 hasRelatedWork W2047230858 @default.
- W2949705013 hasRelatedWork W2048569284 @default.
- W2949705013 hasRelatedWork W2073397964 @default.
- W2949705013 hasRelatedWork W2354692882 @default.
- W2949705013 hasRelatedWork W2616642650 @default.
- W2949705013 hasRelatedWork W2811459905 @default.
- W2949705013 hasRelatedWork W2897735396 @default.
- W2949705013 hasRelatedWork W2989439338 @default.
- W2949705013 hasRelatedWork W3098253019 @default.
- W2949705013 hasRelatedWork W3116410455 @default.
- W2949705013 hasRelatedWork W3190769702 @default.
- W2949705013 isParatext "false" @default.
- W2949705013 isRetracted "false" @default.
- W2949705013 magId "2949705013" @default.
- W2949705013 workType "article" @default.