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Mixed-type solitons and soliton interaction for the (\(2 + 1\))-dimensional two-component long wave-short wave resonance interaction equations in a two-layer fluid through the Bell polynomials. (English) Zbl 1331.35075
Summary: In this work, we investigate the (\(2 + 1\))-dimensional two-component long wave-short wave resonance interaction equations in a two-layer fluid. Through the Bell polynomials, bilinear forms and mixed-type soliton solutions are derived. Such soliton phenomena as the V-type solitons, two parallel solitons with the periodic interaction, breather-type solitons and semi-breather-type solitons are observed, and the relevant parameter conditions are presented.
MSC:
35C08 Soliton solutions
35Q60 PDEs in connection with optics and electromagnetic theory
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