Matches in SemOpenAlex for { <https://semopenalex.org/work/W3204090163> ?p ?o ?g. }
- W3204090163 endingPage "926" @default.
- W3204090163 startingPage "915" @default.
- W3204090163 abstract "In this paper, we investigate a damped variable-coefficient fifth-order modified Korteweg–de Vries equation for the small-amplitude surface waves in a strait or large channel of slowly-varying depth and width and non-vanishing vorticity, in which α1(t), β(t) and γ(t) are the dispersive, dissipative and line-damping coefficients, respectively, where t is the temporal variable. Bilinear forms, bilinear Bäcklund transformation and multi-soliton solutions are constructed via the Hirota bilinear method under some variable-coefficient constraints. Based on those multi-soliton solutions, multi-pole, breather and hybrid solutions are derived. Effect of α1(t), β(t) and γ(t) on the solutions is discussed analytically and graphically. For the solitons, we find that α1(t) and β(t) are related to the velocities and characteristic lines, and the amplitudes depend on γ(t). For the multi-pole and breather solutions, α1(t) and β(t) influence the center trajectories of the solutions, while γ(t) influences the amplitudes. Hybrid solutions composed of the breathers and solitons are worked out and discussed graphically." @default.
- W3204090163 created "2021-10-11" @default.
- W3204090163 creator A5008527576 @default.
- W3204090163 creator A5020914455 @default.
- W3204090163 creator A5023811863 @default.
- W3204090163 creator A5068894575 @default.
- W3204090163 creator A5079390914 @default.
- W3204090163 creator A5081618446 @default.
- W3204090163 date "2022-06-01" @default.
- W3204090163 modified "2023-10-18" @default.
- W3204090163 title "Bilinear forms, bilinear Bäcklund transformation, soliton and breather interactions of a damped variable-coefficient fifth-order modified Korteweg–de Vries equation for the surface waves in a strait or large channel" @default.
- W3204090163 cites W1968712637 @default.
- W3204090163 cites W1971823264 @default.
- W3204090163 cites W1997552151 @default.
- W3204090163 cites W1999538370 @default.
- W3204090163 cites W2015271155 @default.
- W3204090163 cites W2024587083 @default.
- W3204090163 cites W2025559654 @default.
- W3204090163 cites W2069177282 @default.
- W3204090163 cites W2071587986 @default.
- W3204090163 cites W2079526732 @default.
- W3204090163 cites W2123291555 @default.
- W3204090163 cites W2157013276 @default.
- W3204090163 cites W2166573210 @default.
- W3204090163 cites W2170427073 @default.
- W3204090163 cites W2318746269 @default.
- W3204090163 cites W2324494417 @default.
- W3204090163 cites W2419156077 @default.
- W3204090163 cites W2566713124 @default.
- W3204090163 cites W2608590287 @default.
- W3204090163 cites W2610993658 @default.
- W3204090163 cites W2767618852 @default.
- W3204090163 cites W2771882253 @default.
- W3204090163 cites W2773607340 @default.
- W3204090163 cites W2781746885 @default.
- W3204090163 cites W2786762283 @default.
- W3204090163 cites W2790981847 @default.
- W3204090163 cites W2795928838 @default.
- W3204090163 cites W2810279793 @default.
- W3204090163 cites W2885741032 @default.
- W3204090163 cites W2896474024 @default.
- W3204090163 cites W2916875476 @default.
- W3204090163 cites W2919562164 @default.
- W3204090163 cites W2924256080 @default.
- W3204090163 cites W2946416576 @default.
- W3204090163 cites W2949996934 @default.
- W3204090163 cites W2962766483 @default.
- W3204090163 cites W2966664390 @default.
- W3204090163 cites W2972040674 @default.
- W3204090163 cites W2975958353 @default.
- W3204090163 cites W2979539035 @default.
- W3204090163 cites W2983510028 @default.
- W3204090163 cites W2991362353 @default.
- W3204090163 cites W2994579279 @default.
- W3204090163 cites W2998385739 @default.
- W3204090163 cites W3012558155 @default.
- W3204090163 cites W3016564903 @default.
- W3204090163 cites W3019694219 @default.
- W3204090163 cites W3023797260 @default.
- W3204090163 cites W3034378757 @default.
- W3204090163 cites W3040607121 @default.
- W3204090163 cites W3041959679 @default.
- W3204090163 cites W3047945733 @default.
- W3204090163 cites W3084369331 @default.
- W3204090163 cites W3090284992 @default.
- W3204090163 cites W3097954392 @default.
- W3204090163 cites W3101729883 @default.
- W3204090163 cites W3103202855 @default.
- W3204090163 cites W3111836368 @default.
- W3204090163 cites W3116560320 @default.
- W3204090163 cites W3121349440 @default.
- W3204090163 cites W3132374969 @default.
- W3204090163 cites W3135772062 @default.
- W3204090163 cites W3138511476 @default.
- W3204090163 cites W3150734342 @default.
- W3204090163 cites W3152777496 @default.
- W3204090163 cites W3159265001 @default.
- W3204090163 cites W3161108786 @default.
- W3204090163 cites W3163857666 @default.
- W3204090163 cites W3185939613 @default.
- W3204090163 cites W3186293939 @default.
- W3204090163 cites W3198383855 @default.
- W3204090163 cites W3215139403 @default.
- W3204090163 doi "https://doi.org/10.1016/j.cjph.2021.09.004" @default.
- W3204090163 hasPublicationYear "2022" @default.
- W3204090163 type Work @default.
- W3204090163 sameAs 3204090163 @default.
- W3204090163 citedByCount "31" @default.
- W3204090163 countsByYear W32040901632021 @default.
- W3204090163 countsByYear W32040901632022 @default.
- W3204090163 countsByYear W32040901632023 @default.
- W3204090163 crossrefType "journal-article" @default.
- W3204090163 hasAuthorship W3204090163A5008527576 @default.
- W3204090163 hasAuthorship W3204090163A5020914455 @default.
- W3204090163 hasAuthorship W3204090163A5023811863 @default.
- W3204090163 hasAuthorship W3204090163A5068894575 @default.
- W3204090163 hasAuthorship W3204090163A5079390914 @default.
- W3204090163 hasAuthorship W3204090163A5081618446 @default.