Bäcklund Transformations, Nonlocal Symmetries and Soliton–Cnoidal Interaction Solutions of the (2 + 1)-Dimensional Boussinesq Equation
Sign Up to like & getrecommendations! Published in 2020 at "Bulletin of the Malaysian Mathematical Sciences Society"
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
Nonlocal symmetries, conservation laws, and recursion operators of the Veronese web equation
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DOI: 10.1016/j.geomphys.2019.103519
Abstract: We study the Veronese web equation $u_y u_{tx}+ \lambda u_xu_{ty} - (\lambda+1)u_tu_{xy} =0$ and using its isospectral Lax pair construct two infinite series of nonlocal conservation laws. In the infinite differential coverings associated to these… read more here.
Keywords: conservation laws; nonlocal symmetries; veronese web; web equation ... See more keywords
Nonlocal symmetries and conservation laws of the Sinh-Gordon equation
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DOI: 10.1080/14029251.2017.1282246
Abstract: Nonlocal symmetries of the (1+1)-dimensional Sinh-Gordon (ShG) equation are obtained by requiring it, together with its Bäcklund transformation (BT), to be form invariant under the infinitesimal transformation. Naturally, the spectrum parameter in the BT enters… read more here.
Keywords: shg equation; conservation laws; equation; sinh gordon ... See more keywords
Nonlocal symmetries and group invariant solutions for the coupled variable-coefficient Newell-Whitehead system
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DOI: 10.1080/14029251.2020.1819601
Abstract: Starting from the Lax pairs, the nonlocal symmetries of the coupled variable-coefficient Newell-Whitehead system are obtained. By introducing an appropriate auxiliary dependent variable, the nonlocal symmetries are localized to Lie point symmetries and the coupled… read more here.
Keywords: newell whitehead; system; coupled variable; coefficient newell ... See more keywords
Generalized Nonlocal Symmetries of Two-Component Camassa-Holm and Hunter-Saxton Systems
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DOI: 10.3390/sym14030528
Abstract: The two-component Camassa–Holm system and two-component Hunter–Saxton system are completely integrable models. In this paper, it is shown that these systems admit nonlocal symmetries by their geometric integrability. As an application, we obtain the recursion… read more here.
Keywords: camassa holm; hunter saxton; component camassa; two component ... See more keywords