Matches in SemOpenAlex for { <https://semopenalex.org/work/W4387006959> ?p ?o ?g. }
Showing items 1 to 43 of
43
with 100 items per page.
- W4387006959 abstract "Abstract Water waves, one of the common natural phenomena, are recognized as complex
and often turbulent. A generalized (2+1)-dimensional Korteweg-de Vries system for
the shallow-water waves is conducted in this paper. We perform the Painlev´e analysis
and find that the system is Painlev´e integrable. We study the inelastic interactions of
the lumps for the system. We find that two lumps, which propagate along the curves
with the equal amplitude, are symmetric about the x axis before the interaction, where
x is a scaled spatial variable. After the interaction, amplitudes of the two lumps are
different, but in the process of moving, the lower lump gradually increases, while the
higher lump gradually decreases, and the velocities of two lumps at the infinity are
equal. We observe two different inelastic interactions of the three lumps: (1) the
three lumps are symmetric in time and space, and they slowly contract (before the
interaction) and swell (after the interaction); (2) the three lumps slowly fuse and after
the interaction they form a straight line forward, and their amplitudes are gradually
equal when t → ∞." @default.
- W4387006959 created "2023-09-26" @default.
- W4387006959 creator A5037348659 @default.
- W4387006959 creator A5075383375 @default.
- W4387006959 creator A5090182548 @default.
- W4387006959 date "2023-09-25" @default.
- W4387006959 modified "2023-09-26" @default.
- W4387006959 title "Painlevé analysis and inelastic interactions of the lumps for a generalized (2+1)-dimensional Korteweg-de Vries system for the shallow-water waves" @default.
- W4387006959 doi "https://doi.org/10.1088/1402-4896/acfce0" @default.
- W4387006959 hasPublicationYear "2023" @default.
- W4387006959 type Work @default.
- W4387006959 citedByCount "0" @default.
- W4387006959 crossrefType "journal-article" @default.
- W4387006959 hasAuthorship W4387006959A5037348659 @default.
- W4387006959 hasAuthorship W4387006959A5075383375 @default.
- W4387006959 hasAuthorship W4387006959A5090182548 @default.
- W4387006959 hasConcept C121332964 @default.
- W4387006959 hasConcept C180205008 @default.
- W4387006959 hasConcept C37914503 @default.
- W4387006959 hasConcept C62520636 @default.
- W4387006959 hasConcept C74650414 @default.
- W4387006959 hasConceptScore W4387006959C121332964 @default.
- W4387006959 hasConceptScore W4387006959C180205008 @default.
- W4387006959 hasConceptScore W4387006959C37914503 @default.
- W4387006959 hasConceptScore W4387006959C62520636 @default.
- W4387006959 hasConceptScore W4387006959C74650414 @default.
- W4387006959 hasFunder F4320321001 @default.
- W4387006959 hasLocation W43870069591 @default.
- W4387006959 hasOpenAccess W4387006959 @default.
- W4387006959 hasPrimaryLocation W43870069591 @default.
- W4387006959 hasRelatedWork W1514665570 @default.
- W4387006959 hasRelatedWork W1575077847 @default.
- W4387006959 hasRelatedWork W1915053000 @default.
- W4387006959 hasRelatedWork W1983290920 @default.
- W4387006959 hasRelatedWork W2001954398 @default.
- W4387006959 hasRelatedWork W2059291953 @default.
- W4387006959 hasRelatedWork W2065958818 @default.
- W4387006959 hasRelatedWork W2160293638 @default.
- W4387006959 hasRelatedWork W3098944634 @default.
- W4387006959 hasRelatedWork W3103970705 @default.
- W4387006959 isParatext "false" @default.
- W4387006959 isRetracted "false" @default.
- W4387006959 workType "article" @default.