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In this paper, by using the bilinear equation and different test functions, we obtain lump–bell solutions for the $$(4+1)$$(4+1)-dimensional Fokas equation, which describe nonelastic and elastic interactions. We consider various… Click to show full abstract
In this paper, by using the bilinear equation and different test functions, we obtain lump–bell solutions for the $$(4+1)$$(4+1)-dimensional Fokas equation, which describe nonelastic and elastic interactions. We consider various interactions of the lump–bell solutions including fusion, fission, catch-up and head-on. The asymptotic behaviors and dynamics of lump–bell solutions are analyzed graphically. With a scaling transformation, we also obtain the lump–kink solution which describes elastic interactions of a lump- and a kink-type wave for the $$(3+1)$$(3+1)-dimensional potential Yu–Toda–Sasa–Fukuyama equation.
Journal Title: Nonlinear Dynamics
Year Published: 2018
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