Matches in SemOpenAlex for { <https://semopenalex.org/work/W1616176987> ?p ?o ?g. }
Showing items 1 to 76 of
76
with 100 items per page.
- W1616176987 endingPage "1184" @default.
- W1616176987 startingPage "1171" @default.
- W1616176987 abstract "We discuss four stages of the Hirota bilinear method, for construction of soliton solutions to partial difierential equations: the proper substitution to express the equation in the bilinear variables (1), reduction of the excess degrees of freedom (2), the perturbation scheme (3), and solution of the system of equations at the successive orders of magnitude (4). For the flrst stage we suggest an extension of the well-known singularity analysis. In the second stage we point out the need for caution to avoid overdetermined systems. In the third one we suggest a path to proper assumptions on the orders of magnitude of the unknown functions. Finally, we summarize the question of the choice of appropriate solutions. For the expansions at the stages (1) and (3) we suggest a renormalization, i.e. completion of the lower order terms with higher order ones to achieve the desired form of the coe‐cients." @default.
- W1616176987 created "2016-06-24" @default.
- W1616176987 creator A5085145812 @default.
- W1616176987 date "2007-12-01" @default.
- W1616176987 modified "2023-09-26" @default.
- W1616176987 title "Hints on the Hirota Bilinear Method" @default.
- W1616176987 cites W1509395880 @default.
- W1616176987 cites W1673515556 @default.
- W1616176987 cites W1674876221 @default.
- W1616176987 cites W1964514750 @default.
- W1616176987 cites W1966506813 @default.
- W1616176987 cites W1968405112 @default.
- W1616176987 cites W1976615126 @default.
- W1616176987 cites W1979722387 @default.
- W1616176987 cites W1981158113 @default.
- W1616176987 cites W1985679541 @default.
- W1616176987 cites W1986534101 @default.
- W1616176987 cites W1989760690 @default.
- W1616176987 cites W1997279666 @default.
- W1616176987 cites W2004706791 @default.
- W1616176987 cites W2030669316 @default.
- W1616176987 cites W2047741539 @default.
- W1616176987 cites W2050639649 @default.
- W1616176987 cites W2055660721 @default.
- W1616176987 cites W2059494050 @default.
- W1616176987 cites W2061754090 @default.
- W1616176987 cites W2083332431 @default.
- W1616176987 cites W2089996117 @default.
- W1616176987 cites W2105419576 @default.
- W1616176987 cites W2116889861 @default.
- W1616176987 cites W3105263763 @default.
- W1616176987 cites W1618721343 @default.
- W1616176987 doi "https://doi.org/10.12693/aphyspola.112.1171" @default.
- W1616176987 hasPublicationYear "2007" @default.
- W1616176987 type Work @default.
- W1616176987 sameAs 1616176987 @default.
- W1616176987 citedByCount "8" @default.
- W1616176987 countsByYear W16161769872014 @default.
- W1616176987 countsByYear W16161769872015 @default.
- W1616176987 countsByYear W16161769872016 @default.
- W1616176987 countsByYear W16161769872018 @default.
- W1616176987 countsByYear W16161769872019 @default.
- W1616176987 countsByYear W16161769872021 @default.
- W1616176987 countsByYear W16161769872023 @default.
- W1616176987 crossrefType "journal-article" @default.
- W1616176987 hasAuthorship W1616176987A5085145812 @default.
- W1616176987 hasBestOaLocation W16161769871 @default.
- W1616176987 hasConcept C105795698 @default.
- W1616176987 hasConcept C205203396 @default.
- W1616176987 hasConcept C28826006 @default.
- W1616176987 hasConcept C33923547 @default.
- W1616176987 hasConceptScore W1616176987C105795698 @default.
- W1616176987 hasConceptScore W1616176987C205203396 @default.
- W1616176987 hasConceptScore W1616176987C28826006 @default.
- W1616176987 hasConceptScore W1616176987C33923547 @default.
- W1616176987 hasIssue "6" @default.
- W1616176987 hasLocation W16161769871 @default.
- W1616176987 hasOpenAccess W1616176987 @default.
- W1616176987 hasPrimaryLocation W16161769871 @default.
- W1616176987 hasRelatedWork W1551815538 @default.
- W1616176987 hasRelatedWork W1924317655 @default.
- W1616176987 hasRelatedWork W2078005328 @default.
- W1616176987 hasRelatedWork W2096236542 @default.
- W1616176987 hasRelatedWork W2097755569 @default.
- W1616176987 hasRelatedWork W2103915495 @default.
- W1616176987 hasRelatedWork W2155400863 @default.
- W1616176987 hasRelatedWork W2163879510 @default.
- W1616176987 hasRelatedWork W2319780285 @default.
- W1616176987 hasRelatedWork W3048145265 @default.
- W1616176987 hasVolume "112" @default.
- W1616176987 isParatext "false" @default.
- W1616176987 isRetracted "false" @default.
- W1616176987 magId "1616176987" @default.
- W1616176987 workType "article" @default.