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- W4310647558 abstract "In this paper, a generalized long-wave short-wave resonance interaction system, which describes the nonlinear interaction between a short-wave and a long-wave in fluid dynamics, plasma physics and nonlinear optics, is considered. Using the Hirota bilinear method, the general $N$-bright and $N$-dark soliton solutions are deduced and their Gram determinant forms are obtained. A special feature of the fundamental bright soliton solution is that, in general, it behaves like the Korteweg-deVries soliton. However, under a special condition, it also behaves akin to the nonlinear Schr{o}dinger soliton when it loses the amplitude dependent velocity property. The fundamental dark-soliton solution admits anti-dark, grey, and completely black soliton profiles, in the short-wave component, depending on the choice of wave parameters. On the other hand, a bright soliton like profile always occurs in the long-wave component. The asymptotic analysis shows that both the bright and dark solitons undergo an elastic collision with a finite phase shift. In addition to these, by tuning the phase shift regime, we point out the existence of resonance interactions among the bright solitons. Furthermore, under a special velocity resonance condition, we bring out the various types of bright and dark soliton bound states. Also, by fixing the phase factor and the system parameter $beta$, corresponding to the interaction between long and short wave components, the different types of profiles associated with the obtained breather solution are demonstrated." @default.
- W4310647558 created "2022-12-14" @default.
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- W4310647558 date "2022-06-21" @default.
- W4310647558 modified "2023-09-27" @default.
- W4310647558 title "Bright, dark and breather soliton solutions of the generalized long-wave short-wave resonance interaction system" @default.
- W4310647558 doi "https://doi.org/10.48550/arxiv.2206.10159" @default.
- W4310647558 hasPublicationYear "2022" @default.
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