Matches in SemOpenAlex for { <https://semopenalex.org/work/W2901833776> ?p ?o ?g. }
- W2901833776 endingPage "240" @default.
- W2901833776 startingPage "219" @default.
- W2901833776 abstract "Abstract A new class of resonant dispersive shock waves was recently identified as solutions of the Kawahara equation— a Korteweg–de Vries (KdV) type nonlinear wave equation with third‐ and fifth‐order spatial derivatives— in the regime of nonconvex, linear dispersion. Linear resonance resulting from the third‐ and fifth‐order terms in the Kawahara equation was identified as the key ingredient for nonclassical dispersive shock wave solutions. Here, nonlinear wave (Whitham) modulation theory is used to construct approximate nonclassical traveling dispersive shock wave (TDSW) solutions of the fifth‐ order KdV equation without the third derivative term, hence without any linear resonance. A self‐similar, simple wave modulation solution of the fifth order, weakly nonlinear KdV–Whitham equations is obtained that matches a constant to a heteroclinic traveling wave via a partial dispersive shock wave so that the TDSW is interpreted as a nonlinear resonance. The modulation solution is compared with full numerical solutions, exhibiting excellent agreement. The TDSW is shown to be modulationally stable in the presence of sufficiently small third‐order dispersion. The Kawahara–Whitham modulation equations transition from hyperbolic to elliptic type for sufficiently large third‐order dispersion, which provides a possible route for the TDSW to exhibit modulational instability." @default.
- W2901833776 created "2018-11-29" @default.
- W2901833776 creator A5039921868 @default.
- W2901833776 creator A5043830810 @default.
- W2901833776 creator A5064335416 @default.
- W2901833776 date "2018-11-15" @default.
- W2901833776 modified "2023-09-25" @default.
- W2901833776 title "Modulation theory solution for nonlinearly resonant, fifth-order Korteweg-de Vries, nonclassical, traveling dispersive shock waves" @default.
- W2901833776 cites W1490180844 @default.
- W2901833776 cites W1779250109 @default.
- W2901833776 cites W1963751515 @default.
- W2901833776 cites W1965289845 @default.
- W2901833776 cites W1971523400 @default.
- W2901833776 cites W1973654714 @default.
- W2901833776 cites W1978567902 @default.
- W2901833776 cites W1994654266 @default.
- W2901833776 cites W1994682675 @default.
- W2901833776 cites W1994952993 @default.
- W2901833776 cites W1999651695 @default.
- W2901833776 cites W2001810589 @default.
- W2901833776 cites W2016179322 @default.
- W2901833776 cites W2017403023 @default.
- W2901833776 cites W2018022886 @default.
- W2901833776 cites W2023827396 @default.
- W2901833776 cites W2030459145 @default.
- W2901833776 cites W2030484509 @default.
- W2901833776 cites W2037570165 @default.
- W2901833776 cites W2045378570 @default.
- W2901833776 cites W2055457008 @default.
- W2901833776 cites W2059251094 @default.
- W2901833776 cites W2067768315 @default.
- W2901833776 cites W2070211203 @default.
- W2901833776 cites W2071501330 @default.
- W2901833776 cites W2072732887 @default.
- W2901833776 cites W2081026612 @default.
- W2901833776 cites W2089155287 @default.
- W2901833776 cites W2103586170 @default.
- W2901833776 cites W2105944327 @default.
- W2901833776 cites W2106453702 @default.
- W2901833776 cites W2111783528 @default.
- W2901833776 cites W2128718823 @default.
- W2901833776 cites W2141024224 @default.
- W2901833776 cites W2145213441 @default.
- W2901833776 cites W2147057598 @default.
- W2901833776 cites W2147281429 @default.
- W2901833776 cites W2159919541 @default.
- W2901833776 cites W2228980711 @default.
- W2901833776 cites W2278222950 @default.
- W2901833776 cites W2306745933 @default.
- W2901833776 cites W2318371686 @default.
- W2901833776 cites W2341824912 @default.
- W2901833776 cites W2542304314 @default.
- W2901833776 cites W2554869120 @default.
- W2901833776 cites W2561346780 @default.
- W2901833776 cites W2600380617 @default.
- W2901833776 cites W2617536691 @default.
- W2901833776 cites W2952147821 @default.
- W2901833776 cites W2999792156 @default.
- W2901833776 cites W3097998699 @default.
- W2901833776 cites W3098981429 @default.
- W2901833776 cites W3102725924 @default.
- W2901833776 cites W3102769878 @default.
- W2901833776 cites W3106084668 @default.
- W2901833776 cites W4249005320 @default.
- W2901833776 doi "https://doi.org/10.1111/sapm.12246" @default.
- W2901833776 hasPublicationYear "2018" @default.
- W2901833776 type Work @default.
- W2901833776 sameAs 2901833776 @default.
- W2901833776 citedByCount "19" @default.
- W2901833776 countsByYear W29018337762019 @default.
- W2901833776 countsByYear W29018337762020 @default.
- W2901833776 countsByYear W29018337762021 @default.
- W2901833776 countsByYear W29018337762022 @default.
- W2901833776 countsByYear W29018337762023 @default.
- W2901833776 crossrefType "journal-article" @default.
- W2901833776 hasAuthorship W2901833776A5039921868 @default.
- W2901833776 hasAuthorship W2901833776A5043830810 @default.
- W2901833776 hasAuthorship W2901833776A5064335416 @default.
- W2901833776 hasBestOaLocation W29018337762 @default.
- W2901833776 hasConcept C108779253 @default.
- W2901833776 hasConcept C121332964 @default.
- W2901833776 hasConcept C123079801 @default.
- W2901833776 hasConcept C125755039 @default.
- W2901833776 hasConcept C134306372 @default.
- W2901833776 hasConcept C139210041 @default.
- W2901833776 hasConcept C146630112 @default.
- W2901833776 hasConcept C158622935 @default.
- W2901833776 hasConcept C17744445 @default.
- W2901833776 hasConcept C177562468 @default.
- W2901833776 hasConcept C199539241 @default.
- W2901833776 hasConcept C24890656 @default.
- W2901833776 hasConcept C2777566824 @default.
- W2901833776 hasConcept C33923547 @default.
- W2901833776 hasConcept C57879066 @default.
- W2901833776 hasConcept C62520636 @default.
- W2901833776 hasConcept C70477161 @default.
- W2901833776 hasConceptScore W2901833776C108779253 @default.
- W2901833776 hasConceptScore W2901833776C121332964 @default.