Nonlocal symmetry, CRE solvability and soliton–cnoidal solutions of the ($$2+1$$2+1)-dimensional modified KdV-Calogero–Bogoyavlenkskii–Schiff equation
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DOI: 10.1007/s11071-017-3449-6
Abstract: In this paper, a modified KdV-CBS equation is investigated by using the truncated Painlevé expansion and consistent Riccati expansion method, respectively. It is shown that the modified KdV-CBS equation has a nonlocal symmetry related to… read more here.
Keywords: nonlocal symmetry; expansion; soliton cnoidal; modified kdv ... See more keywords
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