Articles with "solutions lump" as a keyword



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Interactional solutions of a lump and a solitary wave for two higher-dimensional equations

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Published in 2018 at "Nonlinear Dynamics"

DOI: 10.1007/s11071-018-4454-0

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… read more here.

Keywords: interactional solutions; bell solutions; solutions lump; solitary wave ... See more keywords
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New interaction of high-order breather solutions, lump solutions and mixed solutions for (3+1)-dimensional Hirota–Satsuma–Ito-like equation

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Published in 2021 at "Nonlinear Dynamics"

DOI: 10.1007/s11071-021-06895-1

Abstract: Under investigation in this letter is an (3+1)-dimensional Hirota–Satsuma–Ito-like equation, which provide strong support for studying the dynamic behavior of nonlinear waves. Based on a special Cole–Hopf transformation and Hirota bilinear method, the bilinear form… read more here.

Keywords: solutions lump; order breather; lump solutions; equation ... See more keywords