Families of exact solutions of a new extended $$\varvec{(2+1)}$$(2+1)-dimensional Boussinesq equation
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DOI: 10.1007/s11071-017-4033-9
Abstract: A new variant of the $$(2+1)$$(2+1)-dimensional [$$(2+1)d$$(2+1)d] Boussinesq equation was recently introduced by Zhu [Line soliton and rational solutions to (2+1)-dimensional Boussinesq equation by Dbar problem, 2017. arXiv:1704.02779v2; see eq. (3)]. First, we derive in this… read more here.
Keywords: rational solutions; dimensional boussinesq; soliton; boussinesq equation ... See more keywords
General high-order breathers, lumps in the $$\mathbf (2+1) $$(2+1)-dimensional Boussinesq equation
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DOI: 10.1007/s11071-018-4181-6
Abstract: Under investigation in this work is a generalized $$(2 + 1)$$(2+1)-dimensional Boussinesq equation. By employing the Bell’s polynomials, bilinear formalism of this generalized $$(2+1)$$(2+1)-dimensional Boussinesq equation is succinctly derived. With the aid of the obtained… read more here.
Keywords: boussinesq equation; high order; dimensional boussinesq;
Bäcklund Transformations, Nonlocal Symmetries and Soliton–Cnoidal Interaction Solutions of the (2 + 1)-Dimensional Boussinesq Equation
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DOI: 10.1007/s40840-018-0668-z
Abstract: Under investigation in this paper are the nonlocal symmetries and consistent Riccati expansion integrability of the (2 + 1)-dimensional Boussinesq equation, which can be used to describe the propagation of long waves in shallow water. By constructing… read more here.
Keywords: dimensional boussinesq; interaction solutions; boussinesq equation; soliton cnoidal ... See more keywords
Bilinear form and exact solutions for a new extended (2+1)-dimensional Boussinesq equation
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DOI: 10.1016/j.rinp.2021.103919
Abstract: Abstract In this article, a new extended (2+1)-dimensional Boussinesq equation which can be used to describe the propagation of shallow water waves, was investigated. By using the bilinear bell polynomial theorem, the Hirota bilinear form… read more here.
Keywords: bilinear form; new extended; equation; extended dimensional ... See more keywords